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3 years ago

The points ( - 6,5) and ( - 7,q) fall on a line with a slope of 10. What is the value of q?

1 answer:

7 0

If you go on my profile you will see a similar problem that I already answered today.

Lets start by using a formula (don't remember the name)

(y-y1)=M(x-x1)

M is slope and y is first y value and y1 is second y value same applies to X.

Substitute in the values.

(5-q) = 10(-6-(-7))

5-q = 10*(1)

5-q = 10

-q = 5

q = -5

Check:

Substitute in the value of "q" and use the formula to find slope:

(y1-y)/(x1-x)

Substitute

(-5-5)/(-7-(-6))
-10/-1
10

Your Answer:
The value of "q" is -5

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US average math SAT scores follow a normal distribution with a mean of 505 and a standard deviation of 112. A sample of 64 enter

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Answer:

The claim that the scores of UT students are less than the US average is wrong

Step-by-step explanation:

Given : Sample size = 64

Standard deviation = 112

Mean = 505

Average score = 477

To Find : Test the claim that the scores of UT students are less than the US average at the 0.05 level of significance.

Solution:

Sample size = 64

n > 30

So we will use z test

$H_0:\mu \geq 477\\H_a:\mu < 477$

Formula : $z=\frac{x-\mu}{\frac{\sigma}{\sqrt{n}}}$

$z=\frac{505-477}{\frac{112}{\sqrt{64}}}$

$z=2$

Refer the z table for p value

p value = 0.9772

α=0.05

p value > α

So, we accept the null hypothesis

Hence The claim that the scores of UT students are less than the US average is wrong

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3 years ago

To complete the square, how do you find the value that must be added to the expression to make a perfect square trinomial? What

Molodets [167]

Take half of the coefficient of x (which is 2/5) and square it:

[ (1/2)(2/5) ]^2 = (1/5)^2 = 1/25, or 0.04

Thus, to rewrite x^2 + (2/5)x to include a perfect square trinomial,

x^2 + (2/5)x = x^2 + (2/5)x + (1/5)^2 - (1/5)^2, or

(x+1/5)^2 - (1/5)^2, or (x + 1/5)^2 - 1/25

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3 years ago

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Cynthia is constructing a circle inscribed in a triangle. She has partially completed the construction as shown below. What shou

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I think the answer is A

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The image of the point (2, 1) under a translation is (5, -3). Find

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Answer:

The coordinates of the image of the point (6,6) under the same translation is: (9, 2)

Hence, option C is correct.

Step-by-step explanation:

The image of the point (2, 1) under a translation is (5, -3).

It means when we horizontally move 3 units to the RIGHT i.e. adding 3 units to the x-coordinate and vertically move 4 units DOWN i.e. subtracting 4 units from the y-coordinate of the original point (2, 1), we get the coordinates of the image (5, -3).

Thus,

The rule of translation can be formulated such as:

(x, y) → (x + 3, y - 4)

(2, 1) → (2 + 3, 1 - 4) → (5, -3)

Thus,

Under the same rule of translation, we can determine the coordinates of the image of the point (6,6):

(x, y) → (x + 3, y - 4)

(6, 6) → (6 + 3, 6 - 4) → (9, 2)

Therefore, the coordinates of the image of the point (6,6) under the same translation is: (9, 2)

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3 years ago

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Answer:

1. 5 2. 31 3. 55

Step-by-step explanation:

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