Complete the table using the relationship between q and t.

Find the equation of the line with slope 7 which goes through the point (-2,-9). Give your answer in slope intercept form y=mx+b

Sedbober [7]

Answer:

I need the to solve dis question

7 0

2 years ago

What is the ratio of the area of the inner square to the area of the outer square?

Setler [38]

Answer:

Step-by-step explanation:

If we are looking for the ratio of the area of the inner square to the area of the outer square, that means that we need the areas of each of these squares, and we need to find the areas without any numbers. But that's ok; the answer they want is not a number answer. The answer will have a's and b's in it instead of numbers.

First the area of the inner square. Here we go:

Look at the triangle in the lower left corner of this coordinate plane. It is a right triangle. The height of it is b. That's because the height is a "y" thing and the y-coordinates of each of those sets of coordinates is b and 0. The height is then b - 0 = b.

The length of the base is a - b. That's because the length is an "x" thing and the x-coordinates of each of those sets of coordinates is (a - b) and 0. The length is then a - b - 0 = a - b.

Now we need the length of the hypotenuse which also serves as one of the sides of the inner square. Using Pythagorean's Theorem, we can find the length of the hypotenuse, which I will label as "?":

$?^2=b^2+(a-b)^2$ and

$?^2=b^2+a^2-2ab+b^2$ and

$?^2=a^2-2ab+2b^2$ so

?, the length of the hypotenuse, is

$?=\sqrt{a^2-2ab+2b^2}$ and now we can use that to find the area of the inner square. The formula for a square's area is

$A=s^2$ so

$A=(\sqrt{a^_2}-2ab+2b^2})^2$ which gives us finally:

$A=a^2-2ab+2b^2$ **

Now for the outer square. Those blue triangles you see are all congruent. We can use the side lengths for the triangles we found above to find the length of a side of the outer square. One side of the outer square is made up of one base length of these triangles and one height. We found the base length to be (a - b) and the height to be b; therefore, the length of one side of the outer square is b + (a - b) which is just "a". That's is, just a length of "a". The area is found by multiplying this side length by itself, so the area of the outer square is

A = a²

The ratio of the area of the inner to the outer is:

$\frac{A_i}{A_o}:\frac{a^2-2ab+2b^2}{a^2}$ and that does not reduce.

7 0

2 years ago

If g(x) = 2x^2 - 4x, what is the value of g(- 2)?

svlad2 [7]

Answer:

Hi! The correct answer is -8 - 4x!

Step-by-step explanation:

Simplify each term

6 0

2 years ago

According to the U.S. Department of Agriculture, the average American consumed 54.3 pounds (ap- proximately seven gallons) of sa

sladkih [1.3K]

Answer:

a) 0.11%

b) 55.99%

c) 0.25%

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Normally distributed with a mean of 54.3 pounds and a standard deviation of 14.5 pounds.

This means that $\mu = 54.3, \sigma = 14.5$

1. What percentage of Americans' annual salad and cooking oil consumption is less than 10 pounds?

The proportion is the pvalue of Z when X = 10. So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{10 - 54.3}{14.5}$

$Z = -3.06$

$Z = -3.06$ has a pvalue of 0.0011

0.0011*100% = 0.11%.

2. What percentage of Americans' annual salad and cooking oil consumption is between 35 and 60?

The proportion is the value of Z when X = 60 subtracted by the pvalue of Z when X = 35.

X = 60

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{60 - 54.3}{14.5}$

$Z = 0.39$

$Z = 0.39$ has a pvalue of 0.6517

X = 35

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{35 - 54.3}{14.5}$

$Z = -1.33$

$Z = -1.33$ has a pvalue of 0.0918

0.6517 - 0.0918 = 0.5599

0.5599*100% = 55.99%

3. What percentage of Americans' annual salad and cooking oil consumption is more than 95 pounds?

The proportion is 1 subtracted by the pvalue of Z when X = 95.

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{95 - 54.3}{14.5}$

$Z = 2.81$

$Z = 2.81$ has a pvalue of 0.9975

1 - 0.9975 = 0.0025

0.0025*100% = 0.25%

8 0

2 years ago

I will mark brainliest to those who help please!

mixer [17]

Answer:

B. Reflect PQR across a horizontal line through R, and then translate the image so R aligns with Z.

Step-by-step explanation:

Imagine a horizontal line through point R. Once you reflect the triangle across this line, it will be facing the same direction as triangle XYZ. Then, once you align R with Z (they are corresponding points!) the triangles will be directly on top of each other.

4 0

3 years ago