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3 years ago

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Suppose Triangle ABC has vertices A(-2,10), B(-4,5) and C(3,2). It is dilated with a scale factor of ¼. What are the vertices of

the image after the dilation? Write a mathematical argument that can be used to defend your solution. PLSSS HELP ASAP WILL GIVE BRAINLY PLSSSS

2 answers:

stiv31 [10]3 years ago

4 0

Answer:

26

Step-by-step explanation:

Kruka [31]3 years ago

4 0

26 what that person had said

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Which polynomial is equivalent to this expression if n≠-1n≠-1? 3+n−2n21+n?

Irina18 [472]

I suppose that the expression you wanted to write is $\frac{3+n-2n^2}{1+n}$ . If so, then we have:

$\frac{3+n-2n^2}{1+n}= \frac{3+3n-2n-2n^2}{1+n} \\ \\ = \frac{3(1+n)-2n(1+n)}{1+n} = \frac{(3-2n)(1+n)}{1+n} \\ \\ =3-2n$

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3 years ago

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The state education commission wants to estimate the fraction of tenth grade students that have reading skills at or below the e

Korolek [52]

Answer:

A sample of 499 is needed.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

The margin of error is given by:

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

In this question, we have that:

$\pi = 0.21$

90% confidence level

So $\alpha = 0.1$ , z is the value of Z that has a pvalue of $1 - \frac{0.1}{2} = 0.95$ , so $Z = 1.645$ .

How large a sample would be required in order to estimate the fraction of tenth graders reading at or below the eighth grade level at the 90% confidence level with an error of at most 0.03

We need a sample of n, which is found when $M = 0.03$ . So

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

$0.03 = 1.645\sqrt{\frac{0.21*0.79}{n}}$

$0.03\sqrt{n} = 1.645\sqrt{0.21*0.79}$

$\sqrt{n} = \frac{1.645\sqrt{0.21*0.79}}{0.03}$

$(\sqrt{n})^2 = (\frac{1.645\sqrt{0.21*0.79}}{0.03})^2$

$n = 498.81$

Rounding up

A sample of 499 is needed.

8 0

3 years ago

I don’t understand how to solve this

Bezzdna [24]

Answer:

42.1

Step-by-step explanation:

The height of the main triangle is,

h = 47√3/2 (since it's an 30-60-90 triangle)

so to find x,

tan(44) = h/x

x = h/tan(44)

x = 42.1 (rounded to the nearest tenth)

Answered by GAUTHMATH

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3 years ago

Matthew is 7 years older than twice the age of his sister. If Matthew is 13, how old is his sister?

Iteru [2.4K]

Let sister be s. Matthew, M

Matthew is 7years older than twice the age of his sister

M = 7 + 2s

13 = 7 + 2s. 7 crosses the equality to other side and becomes -7

13 - 7 = 2s

6 = 2s Divide both sides by 2

6/2 = 2s/2

3 = s

Sister is 3 years old.

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3 years ago

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Can someone help me find out this question :) ? thanks <3 for 8th grade algebra

Assoli18 [71]

Answer:

4,500,000 population in 1950

Step-by-step explanation:

the equation is 4p + 1,000,000 = 19,800,000

3 0

3 years ago