What is the value of p so that the line passing through (6, 2) and (10, p) has a slope
of -2?

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Reasoning:

Apply the rule that [tex]\sqrt{x}*\sqrt{x} = \left(\sqrt{x})^2 = x[/tex]

The squaring operation and square root operation cancel each other out. This is because they are inverses of one another.

For example, 7^2 = 49, and the square root of this leads back to 7.

Going back to the problem at hand, we can say, [tex]\sqrt{12}*\sqrt{12} = 12[/tex]

Then we can write that '12' at the end as 12/1. This is a ratio or fraction of integers, which makes the number rational.

Any rational number is of the form a/b, where a,b are integers and b is nonzero.

In accordance with comparative comparative, the x-intercept of function g(x) = ㏒ (x + 4) is equal to x = - 4.

According to function theory, a function f(x) has an x-intercept when f(x) exists for x = 0. Besides, logarithms of 1 for any base is equal to zero, that is:

Logarithm of 1 at any base.

㏒ₐ 1 = 0

If ㏒ x = 0, then x = 1. And if ㏒ (x + 4) = 0, then x + 4 = 0, that is, x = - 4.

Then, by direct comparison between the two logarithmic expression, the logarithmic function g(x) = ㏒ (x + 4) has x = - 4 as its x-intercept.

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[tex] \longmapsto \: 2(2x - 1 + x + 9) = 103 \\ \\ \longmapsto \: 2(3x + 8) = 106 \\ \\ \longmapsto \: 6x +16 = 106 \\ \\ \longmapsto \: x = \frac{90}{6} \\ \\ \longmapsto \: x = 15 [/tex]

So,

[tex]l = 2 \times 15 - 1 = 29 \\ \\ b = 2 + 15 = 17[/tex]

The perimeter of a rectangle is given by the formula P = 2(l + w), where P is the perimeter, l is the length, and w is the breadth (or width) of the rectangle.

In this case, we know that the perimeter is 106 cm, so we can set up the equation:

106 = 2(l + (X + 9))

106 = 2l + 2X + 18

We also know that the length of the rectangle is 2X - 1, so we can set this equal to l:

2X - 1 = l

Now we have a system of two equations with two unknowns (l and X). We can substitute the value of l from the second equation into the first equation and solve for X:

106 = 2(2X - 1 + (X + 9))

106 = 2(3X + 8)

106 = 6X + 16

90 = 6X

X = 15

Now that we know the value of X, we can substitute it back into the equation for the length of the rectangle to find the length:

l = 2X - 1 = 2(15) - 1 = 29 cm

And then we can use the value of X again to find the breadth:

w = X + 9 = 15 + 9 = 24 cm

So the length of the rectangle is 29 cm and the breadth is 24 cm.

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Answer:

the answer would end up being: D

Answer:

The minimum number of hours the plumer can work is 1 hour and 15 minutes and the maximum number of hours is 6.

Step-by-step explanation:

Answer:

y=mx+c

m=(8-1)÷(-3-4)

=7÷-7

=-7

8=-7(-3)+c

8=21+c

c=-13

y=-7x+c

i hope it is correct :)

Answer:

The to your question is 5w+6=4

Answer:

Below,

Step-by-step explanation:

Produce of w and 5 = 6w

Adding 5 gives  6w + 5 so the equation is:

6w  + 5 = 4.

The inverse of the given function is y = -1/5(x + 1).

The graph the function and its inverse is shown in the image attached below.

In Mathematics, an inverse function simply refers to a type of function that is obtained by reversing the mathematical operation in a given function (f(x)).

In order to determine the inverse of this function f(x) = -1 - 1/5x, we would interchange both the input value (x) and output value (y) as follows:

y = -1 - 1/5x

x = -1 - 1/5y

Adding 1 to both sides of the function, we have:

x + 1 = -1/5y

Multiplying both sides of the function by -1/5, we have:

y = -1/5(x + 1)

To the nearest percent, the percent by which the population grew from 2010 to 2020 is; 2%

Percentage increase is defined as the difference between the final value and the initial value, expressed in the form of a percentage.

Now, we are told that;

Initial Population in 2010 = 59000

From 2010 to 2015, the population grew by 7.3%. Thus;

Population in 2015 = 1.073 * 59000 = 63307

Now, we are told that from 2015 to 2020, it fell by 5.3%. Thus;

Population in 2020 = 63307 * (100% - 5.3%)

= 59952

Thus, percentage increase from 2010 to 2020 = (59952 - 59000)/59000) * 100% = 1.61% ≈ 2%

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Answer:

[tex]5 \sqrt{3} [/tex]

Step-by-step explanation:

Frist find which perfect square goes into 75. In this case its 25 * 3. You then find out what is the square root of 25. Which is 5. you put that number outside the radical and the other number inside the radical. resulting in 5 square roots of 3.

Answer: Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.

Exact Form:

5√3

Decimal Form:

8.66025403…

Answer:

y= -1/2x-5

Step-by-step explanation:

The reciprocal of 2 is -1/2, and the y-intercept given is -5. Given those, the equation is y= -1/2x - 5

The equation of a line perpendicular to y=2x-5y=2x−5 that passes through the point (2, -5) = 2y = -x -8

The equation of line is an algebraic form of representing the set of points.

Given that a line is perpendicular to line, y = 2x -5 and passes through (2,-5)

Equation of a line = y = mx + c, where m is the slope

y = 2x - 5, slope of this line is 2

Slope of two perpendicular lines are negative reciprocal of each other.

Therefore, slope of other line is -1/2

Equation will be y = -1/2 x + c

This above line passes through (2,-5)

-5 = -1/2*2 + c

c = -4

Hence, the equation of a line perpendicular to y=2x-5y=2x−5 that passes through the point (2, -5).

y = -x/2 -4

2y = -x -8

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Answer: i think 20

Step-by-step explanation:

It will cost $4 for 45 minutes and for 2 hours it will cost $8. If parked for 3 to 4 hours it will cost $16 for garage at BWI Airport.

The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f make up this set (x). A function's range is the set of values it can take as input. After we enter an x value, the function outputs this set of values.

Graphs can be used to determine the domain and range of functions. The domain of a graph is made up of all the input values displayed on the x-axis because the term "domain" refers to the set of potential input values. The possible output values that make up the range are shown on y-axis.

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Answer:

Could you explain this more nicley, this is quite hard to read

Step-by-step explanation:

Elimination is a method used to solve systems of linear equations with two or more variables. One possible method to solve a equation with 3 variables using elimination is solving algebraically.

To use elimination to solve a system of equations with three variables, you can follow these steps:

1. Write the system of equations. For example, if you have the equations:

3x + 2y - z = 5

2x - 4y + 2z = 6

5x - 2y + 3z = 10

2. Multiply one of the equations by a scalar (a number) so that one of the variables has opposite coefficients, say y in two of the equations.

3. Next, you can multiply one of the equations by a scalar (a number) so that one of the variables has opposite coefficients, say x in two of the equations.

4. Now substitute this value of z in the first or the second equation to solve for x

5. Now substitute this value of x and z in the second equation or any other equation to solve for y

This is one possible way to use elimination to solve a system of equations with three variables. Depending on the specific problem, there may be different ways to eliminate variables, but the general idea is to use scalar multiplication and addition or subtraction to create a new equation with one variable having the same coefficient but with opposite signs. One can also use Gaussian elimination or matrix inversion method.

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Answer: Translation to the left

Step-by-step explanation: Although it may appear at first that this graph represents a reflection across the y-axis, it actually represents a translation 7 units to the left. Every point in the object is moved in the same direction and the same distance to form the new image. If you count the number of units between A and A' or B and B' (and so on), you will find that each point has been shifted to the left 7 times.

The most accurate value for AB is 37.699111843077516 (approximately)

The measure of an arc is directly related to the measure of the central angle that intercepts it. The measure of an arc is equal to the measure of its central angle, multiplied by the radius and divided by the degree of the circle.

Since, radius is not given let's assume it 20.

In this case, the central angle AOB has a measure of 110 degrees, and the radius of the circle is 20. Therefore, the measure of the arc AB is:

AB = (110/360) * 20 * 2 * π

or

AB = (110/360) * 20 * π

where π is the mathematical constant (approximately equal to 3.14).

So, the measure of the arc AB is (110/360) times the circumference of the circle, or (110/360) of the total length of the circumference.

The most accurate value for AB is 37.699111843077516 (approximately)

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Aisha has 2 chocolates left. You can represent the problem as an equation as follows:

Where x is the total number of chocolates, b is the number of boxes filled and 2 is the remaining chocolates left.

Since we know that Aisha has 50 chocolates, we can substitute this value for x in the equation:

50 = 3b + 2

Solving for b, we find that b = 16. So, Aisha filled 16 boxes and had 2 chocolates left over. The equation is true, and Aisha has 2 chocolates left.

It's worth noting that this is a simple algebraic equation, we can use the same equation to find the number of chocolates given the number of boxes and remaining chocolates, or to find the number of boxes given the number of chocolates and remaining chocolates or to find the remaining chocolates given the number of boxes and the number of chocolates.

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Elena made 2 batches of bird food, each with 1/8 cup cracked corn, 3/4 cups sunflower seeds, and 1/4 cup dried cranberries, for a total of 1.75 cups of bird food.

Elena made two batches of bird food using a combination of cracked corn, sunflower seeds, and dried cranberries. Each batch uses 1/8 cup of cracked corn, 3/4 cup of sunflower seeds, and 1/4 cup of dried cranberries.

To find the total amount of bird food she made, we need to add the ingredients of the two batches together.

Since she made two batches and each batch contains 1/8 cup of cracked corn + 3/4 cup of sunflower seeds + 1/4 of dried cranberries, the total amount of bird food is 2 × (1/8+3/4+1/4) = 2 × (7/8) = 7/4 = 1.75 cups.

This is the best estimate of the total amount of bird food made by Elena. It's important to note that this estimate is based on the assumption that the proportion of ingredients in each batch is the same, and that the ingredients are measured accurately.

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Answer: No, the statement "if f(x)= x² (x≠2), then lim f(x) =4" is not correct. The limit of a function is a value that the function approaches as the input (in this case, x) gets closer and closer to some specific number. In this case, the limit of f(x) as x approaches 2 would be 4, since f(x)=x² for all values of x other than 2. However, if you ignore the x≠2 restriction and consider all values of x, then the limit of f(x) as x approaches 2 would be undefined, since f(x)=4 for x=2.

Step-by-step explanation:

Answer:

13.125 in³

Step-by-step explanation:

So first convert all the numbers to decimal form. 3/2 converts to 1.5. 7/2 converts to 3.5. 5/2 converts to 2.5.

Now for the actual math. Take 1.5×3.5=5.25. Then take your new number and multiply it by 2.5. 5.25×2.5=13.125.

[tex]\cfrac{6a^2 + 21a}{3a^2}\implies \cfrac{6a^2 }{3a^2}+\cfrac{21a}{3a^2}\implies 2+\cfrac{7}{a}[/tex]

Given:

[tex]\cos (55\dfrac{1}{2})^\circ\approx 0.566[/tex]

To find:

The angle, in degrees, that has a sine of approximately 0.566.

Solution:

We know that,

[tex]\sin(90^\circ-x)=\cos x[/tex]

We have,

[tex]\cos (55\dfrac{1}{2})^\circ\approx 0.566[/tex]

Using the above trigonometric identity, it can be written as:

[tex]\sin (90-55\dfrac{1}{2})^\circ\approx 0.566[/tex]

[tex]\sin (90-\dfrac{110+1}{2})^\circ\approx 0.566[/tex]

[tex]\sin (90-\dfrac{111}{2})^\circ\approx 0.566[/tex]

Taking LCM, we get

[tex]\sin (\dfrac{180-111}{2})^\circ\approx 0.566[/tex]

[tex]\sin (\dfrac{69}{2})^\circ\approx 0.566[/tex]

[tex]\sin (34\dfrac{1}{2})^\circ\approx 0.566[/tex]

Therefore, the angle [tex]34\dfrac{1}{2}[/tex] degrees has a sine of approximately 0.566.

The answer is yes, she does and she still has 10 minutes free.

What is time ?

Time can be defined as the sequence on which particular event exists and time can measured in minutes , seconds, and hours.

Given,

The film started at 14 30. The film is 105 minutes long.

When the film ends, Liz takes 20 minutes to get to the bus stop.

105min=1h 45min

14h 30min + 1h 45min= 16h 15min

16h 15min + 0h 20min=16h 35min

16h 45min - 16h 35min= 10min

Hence, the answer is yes, she does and she still has 10 minutes free.

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Answer:

slope = -1

Step-by-step explanation:

y2-y1 / x2-x1=

1+5 / -2-4 = 6/-6

M = -1

Answer:

Last one

Step-by-step explanation:

Answer:

answer below

Step-by-step explanation:

x=4

y=8

AE line equals 16

sf line equals 20

st line equals 10

Answer:

answer is c

Step-by-step explanation:

Answer:

its 90

hope this helped

Step-by-step explanation:

Answer:90

Step-by-step explanation:

Answer:

148

Step-by-step explanation: