Mathematics High School

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Write an equation in slope-intercept form of the line that passes through the given points.

Help Write An Equation In Slope-intercept Form Of The Line That Passes Through The Given Points.

Answers

Answer 1

Answer:

y = 1/2x+1

Step-by-step explanation:

Slope = Δy/Δx

The difference is y increases by 1 and difference in x increases by 2. So the slope is 1/2.

Slope-intercept form: y=mx+b

We take point (0,1) and input into this equation.

1= 1/2×0 +b

1 = b

Related Questions

Rectangle ABCD is translated to form the image A'B'C'D'.
What are the new coordinates of point D?

Answers

Answer:

i think its (6,4)

Step-by-step explanation:

What is the y-intercept:
7x + y = 10

Answers

Answer:

10

Step-by-step explanation:

7(0)+y=10

y=10

Answer: (0, 10)

Step-by-step explanation:

The given expression is in the standard form of linear equations: Ax + By = C, where A and B are constants.

The definition of y-intercept is the point that intersects with the y-axis, meaning that the [x] value of the point will be zero.

To find the y-intercept of an equation, substitute the [x] variable with 0, as mentioned above, the [x] value of a y-intercept is 0.

[tex]7x+y=10\\[/tex]

[tex]7(0)+y=10[/tex]

[tex]0+y=10[/tex]

[tex]y=10[/tex]

As we find the [y] value is 10, while the given [x] value is 0, therefore, the y-intercept of [tex]7x+y=10[/tex] is [tex]\boxed{(0,10)}[/tex].

Hope this helps!! :)

Please let me know if you have any questions

Write the number in 2 equivalent forms as a fraction, decimal, or percent.
5/8
What is the equivalent decimal?

Answers

Answer:

0.625 62.5%

Step-by-step explanation:

Answer:

Step-by-step explanation:

Dividing 5 by 8 on a calculator results in the "equivalent decimal:"

5/8 = 0.625

0.625 converts to 62.5%:  a percent

5/8 is a proper fraction

Solve cos(theta)>sqrt3/2 for 0

Answers

Step-by-step explanation:

If you put some quantities for theta, you reach to B option

Iv'e been stuck on this question pls help

Answers

C. The corresponding sides of a triangle have the same slope

HELPP ME PLLSSSSSSSSSSSSSSSSSSSSSSSSSSSSSS

Answers

Answer:

d

Step-by-step explanation:

thats just the anwser

The answer is D

We know multiplication simplified is just addition so 2b and b+b will always equal the same thing. And since 3c stays the same, b+b+3c is equal to 2b+3c

What is the volume, in cubic centimeters, of a rectangular prism with a height of 7 centimeters, a width of 6 centimeters, and a length of 14 centimeters?

Answers

Answer:

588

Step-by-step explanation:

multiply length x width x height 7×6×14

Step-by-step explanation:

multiply 7,6,14

=588

therefore the answer in cubic centimeters is= 588

Find the missing angle measures.
What is m∠1?

a. 50
b. 105
c. 100
d. 60

Answers

Answer: C

Step-by-step explanation:

we know that the third angle of the triangle with 50 and 50 degrees is 80 because a triangle has 180 degrees. we also know that 80 + the measure of angle 1 = 180 and 80 + 100=180

The class pet eats 1/4 cup of food each day.The teacher needs to buy enough food for 3 weeks.How much rabbit food does she need to buy?

Answers

Answer: 5.25 (pounds?)

Step-by-step explanation: 7 * 3 = 21. Multiply 21 and 1/4.

Using transformations, graph the following function and its inverse
f(x) = 2x+1 +5

Answers

Answer:

yes that correct

Step-by-step explanation:

The cost for a business to produce "x" television commercials in 1 year is $225x + $17,000. How many commercials can the company produce in 1 year at a cost of $35,000

Answers

We are required to find how many commercials the company can produce in year at a cost of $35,000

The company can produce 80 commercials in year at a cost of $35,000

Given:

C(x) = $225x + $17,000

If C(x) = $35,000

Then,

C(x) = $225x + $17,000

35,000 = 225x + 17,000

subtract 17,000 from both sides

35,000 - 17,000 = 225x

18000 = 225x

divide both sides by 225

x = 18,000 / 225

x = 80

Therefore, the company can produce 80 commercials in year at a cost of $35,000

Read more:

https://brainly.com/question/3215028

what is the scale factor from triangle abc to triangle A' B' C' ? Also explain how.​

Answers

Answer: Possibly 1.33333333 or rounded to 1.33

Explanation: Length AB multiplied by 1.33333333 equals 4, which is the length of A’B’.

Length BC multiplied by 1.33333333 equals 5.3333332, which is close to the length of B’C’

12. Zachary Tylar 72% commission? earns commission on sales of $4,255. What is his commission ​

Answers

Answer:

$3063.6

Step-by-step explanation:

72% of $4,255 = $3063.6

The formula for finding percents is number x percent ÷ 100.

4,255 x 72 ÷  100 = 3063.6

Please solve ASAP. Solving quadratic equations by factorising

Answers

Answer:

x = 1 , x = [tex]\frac{3}{2}[/tex]

Step-by-step explanation:

2x² - 5x + 3 = 0

Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 2 × 3 = 6 and sum = - 5

The factors are - 2 and - 3

Use these factors to split the x- term

2x² - 2x - 3x + 3 ( factor the first/second and third/fourth terms )

2x(x - 1) - 3(x - 1) = 0 ← factor out (x - 1) from each term

(x - 1)(2x - 3) = 0

Equate each factor to zero and solve for x

x - 1 = 0 ⇒ x = 1

2x - 3 = 0 ⇒ 2x = 3 ⇒ x = [tex]\frac{3}{2}[/tex]

Write an inequality that represents this situation below. Be sure to define your variable in words.

Jeffery needs to save more than $500 to attend camp over the summer.

Answers

Answer: m>500

Step-by-step explanation:

m= money

And he is going to need more than 500 so m must be greater than 500 it cant be greater than or equal too.

The price of a video game was reduced from $60 to $45. By what percentage was the price of the Vedic games reduced.

Answers

Answer:

[tex]33.3\%[/tex]

Step-by-step explanation:

Given: price of a video game was reduced from [tex]\$60[/tex] to [tex]\$45[/tex]

To find: percentage decrease in the price of the Vedic games

Solution:

Old price of the game [tex]=\$60[/tex]

New price of the game [tex]=\$45[/tex]

Decrease in the price of the Vedic games [tex]=\$60-\$45=\$15[/tex]

Percentage decrease in the price of the Vedic games = (Decrease in the price of the Vedic games × 100) ÷ New price of the game

[tex]=\frac{15(100)}{45} =\frac{100}{3}\%=33.3\%[/tex]

To find the roots of the quadratic equation 3x²- 2x+1=0 using the quadratic formula​

Answers

Answer: This is what i got x=1+i √2/3 not sure if that is what you need but hope it helps

Step-by-step explanation:

Answer:

[tex]x = \frac{ 1 + 1\sqrt{-1}}{3}[/tex] and [tex]x = \frac{ 1 - 1\sqrt{-1}}{3}[/tex]

Step-by-step explanation:

Hello!

The quadratic formula is: [tex]x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex], derive from the standard form of a quadratic: [tex]ax^2 + bx + c[/tex].

The expression 3x² - 2x + 1 is a lot like our standard form:

a = 3b = -2c = 1

Let's plug in the values and solve.

Solve the Quadratic Formula:

[tex]x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex][tex]x = \frac{-(-2) \pm \sqrt{(-2)^2 - 4(2)(1)}}{2(3)}[/tex][tex]x = \frac{2 \pm\sqrt{4 - 8}}{6}[/tex][tex]x = \frac{2 \pm \sqrt{-4}}{6}[/tex][tex]x = \frac{2 \pm 2\sqrt{-1}}{6}[/tex][tex]x = \frac{ 1 \pm 1\sqrt{-1}}{3}[/tex]

The roots are [tex]x = \frac{ 1 + 1\sqrt{-1}}{3}[/tex] and [tex]x = \frac{ 1 - 1\sqrt{-1}}{3}[/tex]

Learn more about the derivation of the quadratic formula here:
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Which of the following pair of sets is an example of disjoint sets?
X={rational numbers} and Y={whole numbers}
P={multiples of 2} and Q={multiples of 3}
G={multiples of 5} and H={multiples of 10}
E={even numbers} and F={odd numbers}

Answers

We want to see which pair of sets is disjoint, this is, see which pair of sets does not share any element.

The correct option is: E = {even numbers} and F = {odd numbers}

So we only need to see which one is the pair of sets that does not share any element, so we can analyze the given options and see if we can find a number that belongs to both sets.

1) X = {rational numbers} and Y = {whole numbers}

Any whole number is also a rational number, for example:

2 = 4/2

So we can write the number 2 as a quotient of two integers, then we can see that these sets share elements.

2) P={multiples of 2} and Q={multiples of 3}

The number 6 is a multiple of both 2 and 3, thus the number 6 belongs to bot sets, then the sets are not disjoint.

3) G={multiples of 5} and H={multiples of 10}

10 is a multiple of 10 and 5, so the number 10 belongs to both sets, thus the sets are not disjoint.

4) E={even numbers} and F={odd numbers}

We define the even numbers as the ones divisible by 2, while the odd numbers are those that are not divisible by 2. Then by definition, there is no even number that is also odd.

Then we can see that these two sets are disjoints, and this is the correct option.

If you want to learn more, you can read:

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2r + 8 - r = -7

Combine like terms

Answers

Answer: -15

Step-by-step explanation: 2r+8-r=-7

1r +8 = -7

1/1       -15/1

Answer: r = -15

Step-by-step explanation:

2r - r = -7 -8

r = -15

simplify the expression below using the distributive property:

4x - 2(x + 5)

Answers

Answer:

It is 2x-10

Step-by-step explanation:

It is 2x-10 because when you are doing this you want to try to get the x alone but in this case it is not dertinable

I need help with this i don’t understand this

Answers

Answer:

13.<CAF = 145

14.<ABC = 50

15.<KCJ = 95

16.<ABG = 130

17.<BCJ = 85

18.<CAB = 35

19.<x =60

20.<y =120

21.<z = 133

22.<w = 47

23.<m = 128

24.<p = 52

Step-by-step explanation:

It just looking at the vertically opposite angle to find the exact angle.

Ex. <CAF = <BAD

please help me out! :)

Answers

Answer:

a) A(8,-3), B(4,-3), C(2,5)

b) not sure sry

What is 39.2÷2? equal to?

Answers

Answer:

19.6 is the correct answer

Answer:

19.6

Step-by-step explanation:

39.2/2

19.6

Math?? anybody somebody please help




100 points worth

Answers

Answer:

c

Step-by-step explanation:

2^4=16

(16-8)/16=8/16=1/2

2^4-8/16 = 1/2 so c

You are given that a = 6.54 (to 3 significant figures) and b = 123 (to 3 significant figures).
Calculate upper and lower bounds for each of the following, give your answers to 3 significant figures:
(a) a + b
(b) ab
(c) a/b
(d) b - 1/a

Answers

The upper and lower bounds for the numbers are illustrations of approximation

How to calculate the upper and lower bounds

The numbers are given as:

a = 6.54 (to 3 significant figures)

b = 123 (to 3 significant figures)

(a) a + b

We have:

a + b = 6.54 + 123

a + b = 129.54

When approximated, the bounds to three significant digits are:

Lower bound = 129

Upper bound = 130.1

(b) ab

We have:

ab = 6.54 * 123

a + b = 804.42

When approximated, the bounds to three significant digits are:

Lower bound = 804

Upper bound = 805

(c) a/b

We have:

a/b = 6.54/123

a/b = 0.0531707317

When approximated, the bounds to three significant digits are:

Lower bound = 0.0531

Upper bound = 0.0532

(d) b - 1/a

We have:

b - 1/a = 123 - 1/6.54

b - 1/a = 122.847094801

When approximated, the bounds to three significant digits are:

Lower bound = 122

Upper bound = 123

Read more about approximation at:

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In slope intercept y=mx+b if the slope is 3/4 and the -y intercept is -2

Answers

Answer:

y = [tex]\frac{3}{4}[/tex] x - 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + b ( m is the slope and b the y- intercept )

Here m = [tex]\frac{3}{4}[/tex] and b = - 2 , then

y = [tex]\frac{3}{4}[/tex] x - 2 ← equation of line

Find the area of each sector. Round your answer to nearest tenth

Answers

Answer:

area of 150° segment = 188.5 km²

Step-by-step explanation:

area of full circle = πr² = (3.14)(12²) = 452.16 km²

area of segment = (150°/360°)(452.16) = 188.5 km²

the area of each sector is C


The interior angle of a regular polygon is 156º. Find the number of sides of the polygon.​

Answers

Answer:

15

Step-by-step explanation:

n = 15 sides. Therefore ,The polygon with each interior angle 156° has 15 sides.

Set up a proportion and solve round to the nearest tenth. 45 is what percent of 80?

Answers

Answer:

the answer: 56.25 percent of 80

Point A lies on a number line at 6. Point C lies between points B and A at 1.875. The ratio AC : AB = 3 : 5. What is the length of A B?

A. AB = 15 units
B. AB = 8.75 units
C. AB = 6.875 units
D. AB = 11 units

Plz Answer ASAP! Thank you!

Answers

Answer: C, 6.875 is the correct answer

Step-by-step explanation:

AC = 6 - 1.875 = 4.125

AB = 5/3 * 4.125 = 6.875

The measure of AB is 6.875. Therefore, option C is the correct answer.

Given that, the ratio AC: AB = 3: 5.

What is the ratio?

In mathematics, a ratio indicates how many times one number contains another.

AC = 6 - 1.875 = 4.125

AB = 5/3 * 4.125 = 6.875

Therefore, option C is the correct answer.

To learn more about the ratio visit:

https://brainly.com/question/23499990.

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