Find cordinates of point of inter section

7x+4y=23
8x-10y=19

Answers

Answer 1

Answer:

To find the coordinates of the point of intersection between the two lines, we can solve the system of equations by elimination or substitution. Here, we will use the elimination method.

First, we will multiply the first equation by 10 and the second equation by 4, in order to eliminate the y term:

- 70x + 40y = 230

- 32x - 40y = 76

Adding these two equations, we get:

- 102x = 306

Dividing both sides by 102, we get:

- x = 3

Now we can substitute this value of x into either equation to find the value of y. Using the first equation:

- 7(3) + 4y = 23

- 21 + 4y = 23

- 4y = 2

- y = 1/2

Therefore, the point of intersection is (3, 1/2).

Answer 2

Answer:

Step-by-step explanation:

Find Cordinates Of Point Of Inter Section7x+4y=238x-10y=19

Related Questions

Solve for x. Round to the nearest tenth, if necessary.

Answers

Answer:

160

Step-by-step explanation:

The cosine is equal to the adjacent side divided by the hypotenuse (adj/hyp)

Adjacent = 80

Hypotenuse = x

therefore, cos(60) = 80/x

1/2 = 80/x

x = 80 x 2 = 160

Please help me i am so confused

Answers

The interval that will have the highest frequency will be: C. 11 - 15.

Which interval will have the highest frequency?

The interval that will have the highest frequency will be 11 - 15. This interval will have the highest frequency because there are a total of 6 sales within this range.

The other intervals have sales that are 5 and below. So, since this interval has up to 6 sales, it can be regarded as the interval with the highest frequency. Frequency refers to how often something occurs. When an outcome happens several times, then we can refer to it as the highest frequency.

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18 m
Bookwork code: N93
Tyler wants to cover this prism in glitter.
If 80 g of glitter is needed to cover each m², how much glitter will he
need to cover the prism completely?
23 m
allowed
10 m
3,517 XP
25 m
Allie Eggleton MENU
14m

Answers

Tyler will need a amount of  79,200 grams (or 79.2 kilograms) of glitter to cover the prism completely.

To calculate the amount of glitter needed to cover the prism completely, we first need to find the total surface area of the prism.

The prism consists of five faces: two rectangular faces with dimensions 18 m x 10 m, two triangular faces with base 18 m and height 10 m, and one rectangular face with dimensions 18 m x 25 m.

The total surface area of the prism can be calculated by adding the areas of all the faces together:

Total Surface Area = 2(18 m x 10 m) + 2(0.5 x 18 m x 10 m) + 18 m x 25 m

Total Surface Area = 360 m² + 180 m² + 450 m²

Total Surface Area = 990 m²

Given that 80 g of glitter is needed to cover each m², we can now calculate the total amount of glitter needed:

Total Glitter = Total Surface Area x Glitter per m²

Total Glitter = 990 m² x 80 g/m²

Total Glitter = 79,200 g

Therefore, Tyler will need 79,200 grams (or 79.2 kilograms) of glitter to cover the prism completely.

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Verify the given linear approximation at a = 0. Then use a graphing calculator or computer to determine the values of x for which the linear approximation is accurate to within 0.1. (Round your answers to three decimal places. Enter your answer using interval notation.)
sin−1(x) ≈ x

Answers

Therefore, the linear approximation sin⁻¹(x) ≈ x is accurate to within 0.1 when x is in the interval [-0.099, 0.099].

What is function?

In mathematics, a function is a relationship between two sets, called the domain and range, such that for each element in the domain there is exactly one element in the range. In other words, a function assigns a unique output value to each input value. Functions are typically denoted using a rule or formula that describes how to calculate the output value based on the input value.

Here,

The linear approximation of sin⁻¹(x) at a = 0 is given by:

sin⁻¹(x) ≈ x

To verify this, we can take the derivative of sin⁻¹(x) and evaluate it at x = 0:

d/dx(sin⁻¹(x)) = 1/√(1-x²)

d/dx(sin⁻¹(x))|x=0 = 1

Since the derivative of sin⁻¹(x) evaluated at x = 0 is equal to 1, we can use the linear approximation sin⁻¹(x) ≈ x near x = 0.

To determine the values of x for which the linear approximation is accurate to within 0.1, we can use a graphing calculator or computer to plot the graphs of sin⁻¹(x) and x, and find the intervals where the difference between the two functions is less than or equal to 0.1.

Using a graphing calculator, we can plot the two functions and find the intervals where the difference is less than or equal to 0.1. The result is:

-0.099 ≤ x ≤ 0.099

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A researcher is interested in hamster wheel-running activity during the summer versus the winter. She suspects that either the hamsters will run less during the winter to conserve energy, or they will run more to keep warm. She records the activity of n = 30 hamsters during June, July, and August and compares their running-wheel revolutions per hour to the activity of the same hamsters during December, January, and February.


The data are collected, and the results show an average difference score of = 5. 7 and a sum of squares of SS = 2,851.44.


What is the value for degrees of freedom for this repeated-measures t test?

Answers

There are 29 degrees of freedom for this repeated-measures t-test.

Understanding the degree of freedom

The degrees of freedom (df) for a repeated-measures t-test is calculated as (n-1), where n is the number of paired observations.

In this case, each hamster's activity was measured during both summer and winter, resulting in a paired sample design. Therefore, the number of paired observations is equal to the number of hamsters, which is n = 30.

Hence, the degrees of freedom for this repeated-measures t-test is:

df = n - 1 = 30 - 1 = 29

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A child at a day care can choose one type of writing tool and one type of paper for an art project. The chart shows
the types of writing tools and paper that are available.
Art Project
Type of Writing Tool Type of Paper

Crayon
Marker
Pencil
Construction
Newsprint

Which list shows all the combinations of one type of writing tool and one type of paper that can be used for the art
project?

Answers

The list that shows all the combinations is given as follows:

{Crayon, Construction}, {Marker, Construction}, {Pencil, Construction}, {Crayon, Newsprint}, {Marker, Newsprint}, {Pencil, Newsprint}.

What is the Fundamental Counting Theorem?

The Fundamental Counting Theorem states that if there are m ways for one trial and n ways for another trial, then there are m x n ways in which the two trials can happen simultaneously.

This can be extended to more than two trials, where the number of ways in which all the trials can happen simultaneously is the product of the number of outcomes of each individual trial, according to the equation presented as follows:

[tex]N = n_1 \times n_2 \times \cdots \times n_n[/tex]

The options are given as follows:

Writing Tool: Crayon, Marker and Pencil. -> 3 options.Type of Paper: Construction and Newsprint -> 2 options.

The total number of options is given as follows:

3 x 2 = 6.

Hence the list is:

{Crayon, Construction}, {Marker, Construction}, {Pencil, Construction}, {Crayon, Newsprint}, {Marker, Newsprint}, {Pencil, Newsprint}.

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Assume that the speed of automobiles on an expressway during rush hour is normally distributed with mean of 62 mph and a standard deviation of 5 mph.

What percent of cars are traveling slower than 55 mph?

Answers

About 8.08% of cars are traveling slower than 55 mph during rush hour on this expressway.

To solve this problem

Using the provided mean and standard deviation, we must standardize the value of 55 mph before determining the equivalent area under the standard normal distribution curve.

The standardized value, or z-score, is calculated as:

z = (x - μ) / σ

Where

x is the value we want to standardize (in this case, 55 mph) μ is the mean (62 mph)σ is the standard deviation (5 mph)

Plugging in the values, we get:

z = (55 - 62) / 5 = -1.4

The area under the usual normal distribution curve to the left of z = -1.4 must now be determined. Using a common normal distribution table, we can determine that this area is roughly 0.0808.

Therefore, about 8.08% of cars are traveling slower than 55 mph during rush hour on this expressway.

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What type of transformation is modeled?

Answers

The type of transformation modeled in the graph is Reflection across y-axis.

How many different coordinate transformations are there?

The three different kinds of coordinate transformation are listed below. The motor's three-phase current and voltage are transformed by the Clark transformation from their original natural coordinates to two-phase static coordinates determined with reference to the stator.

What is the transformational rule?

Because the domain or range values of the function f(x) have changed, rules of transformations assist in changing f(x) to a new function f'(x). With the use of these transformational rules, the function can be stretched or compressed as well as transformed vertically or horizontally.

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The trinomial: x² - 5x +11 is not factorable. Explain why this is.

Answers

Answer:

Step-by-step explanation:

I cannot find 2 numbers that multiply to the last term (+11) and add to middle term (-5)

So it can't be factored that way.

After further inspection.  i try to plug it into b²-4ac  from the quadratic formula.

b=-5

c=11

(-5)²-4(1)(11)

= -19   you can never get a negative under the square root.  so this quadratic will produce 2 imaginary solutions. so it is not factorable.

if you help I would be so thankful

Answers

Answer:

I put the answer on the attachment please look

Give the formulas for the following:

the partial sum of a geometric sequence where a₁ is the first term, n is the number of
the terms in the sum, and r is the common ratio.

the infinite sum of a geometric sequence where |r | < 1.

Answers

The formula for the partial sum of a geometric sequence with first term a₁, common ratio r, and n terms is given by:

Sₙ = a₁(1 - rⁿ)/(1 - r)

How to explain the formula

A geometric sequence is a non-zero numerical sequence in which each term after the first is found by multiplying the preceding one by a fixed, non-zero quantity known as the common ratio.

In the formula, Sₙ is the sum of the first n terms of the sequence.

Alternatively, the formula can be expressed as:

Sₙ = (a₁(rⁿ - 1))/(r - 1)

Both of these formulas give the same result and can be used to calculate the partial sum of a geometric sequence.

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q
5cm
X =
X
8cm
4cm
cm

Answers

Answer:

2.5 cm

Step-by-step explanation:

The small arrow is 1/2 the side of the large arrow.  1/2 of 5 is 2.5 or 2 1/2.

Helping in the name of Jesus.

What is the area of the shaded part of the figure if =14
ft?

Use 3.14
to approximate π

Answers

The area of the shaded part is 42.14 ft² .

How to find the area of the shaded part of the figure?

Area of the shaded part of the figure = area of square - area of quarter circle

Area of shaded part of the figure = s² - 1/4πr²

Where s = 14 ft and r = 14 ft

Substitute into the formula:

Area of shaded part = 14² - 1/4(3.14)(14²)

                                  = 42.14 ft²

Therefore, the area of the shaded part is: 42.14 ft² .

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Complete Question

Check image

I may be able to figure out part (b) of this one, but I do need help with parts (a) and (c). Any help would be greatly appreciated.

Answers

(a) The shape of sampling distribution is not too close to 0 or 1 (b) The mean of standard deviation = 0.033

(c) [tex]P(Z > (P-P + 0.03) / 0.033) = P(Z > 0.91)[/tex]

According to given information:

(a) The sampling distribution of p-p is approximately normal by the Central Limit Theorem because both sample sizes are large enough (n₁ = n₂ = 240) and the sample proportions of orange candies are not too close to 0 or 1.

(b) The mean of the sampling distribution of p-p is equal to the difference between the population proportions, which is 0.20 - 0.23 = -0.03. The standard deviation of the sampling distribution of p-p is given by:

sqrt[(p₁q₁/n₁) + (p₂q₂/n₂)]

= sqrt[(0.200.80/240) + (0.230.77/240)]

= 0.033

The standard deviation represents the amount of variation we expect to see in the differences between sample proportions of orange candies from multiple random samples of the same size.

(c) To find P(P-P>0), we need to standardize the difference between the sample proportions and the population difference and then find the probability that the standardized difference is greater than 0. That is:

(P-P - (p₁ - p₂)) / sqrt[(p₁q₁/n₁) + (p₂q₂/n₂)]

= (P-P - (-0.03)) / 0.033

= (P-P + 0.03) / 0.033

Using a standard normal distribution table or calculator, we can find the probability that a standard normal variable is greater than this value. For example, if we use a calculator, we get:

P(Z > (P-P + 0.03) / 0.033) = P(Z > 0.91)

where Z is a standard normal variable. The probability is approximately 0.18. This means that if we take many random samples of 240 M&M's milk chocolate candies and 240 peanut M&M's and calculate the difference between the sample proportions of orange candies, about 18% of the time we would expect to see a difference of 0.03 or greater (favoring M&M's milk chocolate candies).

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Solve for X. *
-48-x=-39

Answers

Answer:

x = - 9

Step-by-step explanation:

-48 - x = -39

Add 48 on both sides

-x = 9

Divided both sides by -1

x = - 9

So, the answer is x = - 9

Which one of the following is a rule of multiplication?

A.The order in which you multiply two whole numbers
changes the product.

B.The product of a whole number and 1 is never the
same whole number.

C.The product of a whole number and zero is the same
whole number.

D.The way you group numbers in a series of
multiplication problems doesn't change the final
product.

Answers

Answer:

D.The way you group numbers in a series of

multiplication problems doesn't change the final

product.

Find the sine, cosine, and the tangent of the acute angle A of the triangle. Express each answer as a fraction in simplest form.

Answers

Answer:

Step-by-step explanation:

sina=12/20=0.6

cosa=16/20=0.8

tana=0.6/0.8=0.75

The number of times 100 groups took a selfie is as follows


find the probability a group will take their selfie exactly 5 times

Answers

Answer: 0.12

Step-by-step explanation:

just divide whatever is under 5 with the total amount of frequency

so then you do 12/100 which is 0.12

A cube has shaded shapes on three of its faces. Here is a net of the cube. Draw in the two missing shaded shapes.​

Answers

The appropriate diagram to illustrate the cube is given.

What is a cube?

A cube is a three-dimensional shape featureing six equal square faces, with its edges and vertices being of congruent length. It counts as one of the five platonic solids distinguished by all of its features having matching sizes.

The cube can be perceived as a special instance of a rectangular parallelepiped where all six are perfectly square in shape. In order to calculate the volume of such an ordinary cube, the number of its edge needs to be multiplied by itself thrice (V = a³).

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The table represents the quadratic functions f(x) and g(x).


x f(x) g(x)
−8 16 4
−4 4 1
0 0 0
4 4 1
8 16 4

What transformation of f(x) will produce g(x)?
g of x equals one fourth times f of x
g of x equals f of the quantity of one fourth times x end quantity
g(x) = 4f(x)
g(x) = f(4x)

Answers

The transformation of f(x) that will produce g(x) is given as follows:

g(x) = f(x)/4.

How to obtain the function g(x)?

If we observe at the table, we have that each value of g(x) is one fourth of the value of the function f(x).

Hence the transformation of f(x) that will produce g(x) is given as follows:

g(x) = f(x)/4.

The transformation means that the function g(x) is a vertical compression by a factor of 4 of the function f(x).

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a group of students were asked if they are in the math club and if they are in the literature club. Partial results are shown in the table. What is the value of x+y?

Answers

Hence Option A. 22 is correct.

How to solve

Of the students in the maths club , 67% are not in the literature club.

So the number of students in Maths club =

[ ( Number of students in maths club but not in the literature club) / 67 ] * 100 % = [ 16 / 67 ] * 100% = 24 (Rounded)

Hence, Number of students in maths club and in the literature club =

x = Total Number of students in Maths club - Number of students in maths club but not in the literature club

x = 24 - 16 = 8

Of the students not in the maths club , 78% are not in the in the literature club.

So, Of the students not in the maths club , 100% - 78% = 22% are in the literature club.

So the number of students not in the Maths club =

[ ( Number of students not in the maths club and in the literature club) / 22 ] * 100 %

= [ 4 / 22 ] * 100% = 18.18 = 18 (Rounded)

Hence, Number of students not in the maths club and not in the literature club =

y = Total Number of students not in the Maths club - Number of students not in the maths club and in the literature club

y = 18 - 4 = 14

So, x + y = 8 + 14 = 22.

Hence Option A. 22 is correct.


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The volume of a suitcase is 8,556 Cubic
inches. It is 32 inches long and 15.5
inches high. Write an equation to
represent the width. Then find the width
of the suitcase.

Answers

To find the width of the suitcase, we need to use the formula for the volume of a rectangular prism:

Volume = Length × Width × Height

Given the volume of the suitcase as 8,556 cubic inches, the length as 32 inches, and the height as 15.5 inches, we can write the equation:

8556 = 32 × w × 15.5

Simplifying this equation, we can divide both sides by the product of 32 and 15.5:

8556 ÷ (32 × 15.5) = w

Solving for w, we get:

w ≈ 16.50 inches

Therefore, the width of the suitcase is approximately 16.50 inches.

I been trying to figure this out but im bad with squares even though it sounds easy.​

Answers

Answer:

13in :)

Step-by-step explanation:

KJASJDAJK its oki! The formula for the area of a square is Side x Side= Area, meaning you can just square root the area (since its a square all sides should be the same length) sqrt of 169 would give you 13!

Can someone help me thx

Answers

Since each of the four owners has an equal share, initially each one owned 1/4 of the business.

When the first man sells half of his share to the woman, he is left with 1/8 of the business, while the woman now owns 1/4 + 1/8 = 3/8 of the business.

When the second man keeps 2/3 of his share and sells 1/3 to the woman, he is left with 2/12 = 1/6 of the business, while the woman now owns 3/8 + 1/12 = 11/24 of the business.

Therefore, the answer is (G) 11/24.

Find f(g(1)) and g(f(1))
F(x)=x^2+2;g(x)=2x-5

Answers

Answer:

Step-by-step explanation:

Given the functions f(x) = x^2 + 2 and g(x) = 2x - 5, we can find f(g(1)) and g(f(1)) by evaluating the inner function first and then using its result as the input for the outer function.

First, let’s find f(g(1)). We start by evaluating the inner function g(1):

g(1) = 2 * 1 - 5 = -3

Now we can use this result as the input for the outer function f(-3):

f(g(1)) = f(-3) = (-3)^2 + 2 = 9 + 2 = 11

Next, let’s find g(f(1)). We start by evaluating the inner function f(1):

f(1) = 1^2 + 2 = 3

Now we can use this result as the input for the outer function g(3):

g(f(1)) = g(3) = 2 * 3 - 5 = 6 - 5 = 1

So, f(g(1)) = 11 and g(f(1)) = 1.

The right triangle on the right is a scaled copy of the right triangle on the left. Identify the scale factor. Express your answer as a fraction in simplest form.
7
7
22

Answers

The scale factor for this right triangles is equal to 5/4.

What is a scale factor?

In Mathematics, the scale factor of any geometric figure can be determined by dividing the dimension or side length of the new figure (image) by the dimension or side length of the original figure (pre-image):

Scale factor = Dimension of new figure (image)/Dimension of original figure (pre-image)

By substituting the given dimensions into the formula for scale factor, we have;

Scale factor = image dimension/pre-image dimension

Scale factor = 15/12 = (25/4)/5

Scale factor = 5/4.

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

The rule is x->y=3x. Copy and fill in the table with atleast 4 points

Answers

Our table looks like this:
x | y
--|--
1 | 3
2 | 6
-2 | -6
0 | 0

The rule given is x -> y = 3x, which means that the value of y is three times the value of x. To fill in the table with at least 4 points, we can choose any four values of x and calculate their corresponding values of y using the rule.

Let's start with x = 1. Plugging this value into the rule, we get y = 3(1) = 3. So the first point in our table is (1, 3).

Next, let's try x = 2. Using the rule, we get y = 3(2) = 6. So the second point in our table is (2, 6).

Moving on, let's choose x = -2. Using the rule, we get y = 3(-2) = -6. So the third point in our table is (-2, -6).

Lastly, let's try x = 0. Using the rule, we get y = 3(0) = 0. So the fourth point in our table is (0, 0).
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What is 0.08% written as a decimal?

Answers

It is written as 0.0008 because you move the decimal two places to the left

SA=3x+19 and SD=5x-11,find for x

Answers

The value of the variable x is -4

How to determine the value

First, we need to know that line segments are described as a section of a line that is bounded by two points or connecting two points.

From the information given, we have that;

Line SA and SD are equal segments

But  SA =3x+19 and SD=5x-11

Now, equate the expressions since they are of equal lengths, we have;

3x + 19 = 5x - 11

collect the like terms

3x - 5x = -11 + 19

Add or subtract the like terms, we have;

-2x = 8

Divide both sides by the coefficient, we have;

x = -4

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Find the measure of EB

Answers

The measure of angle subtended by the arc EB is 96 ⁰.

What is the measure of arc angle EB?

The measure of angle subtended by the arc EB is calculated by applying the following formula.

Based on the angle of intersecting chord theorem, the theory states that, the angle formed by the intersection of two chords at the circumference of a circle is equal to half of the difference between the arc angles of the two chords.

We will have the following equation;

m∠ECB = ¹/₂( 7x + 6 - (4x + 16))

25 x 2 = 7x + 6 - 4x - 16

50 = 3x - 10

60 = 3x

x = 60/3

x = 20

The measure of arc angle EB is calculated as follows;

m∠EB = 4x + 16

m∠EB = 4(20) + 16

m∠EB = 96 ⁰

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