All categories

3 years ago

What is the image of (1,8) after a dilation by a scale factor of 5 centered at the origin?

Mathematics

1 answer:

adell [148]3 years ago

4 0

Dilation involves changing the size of a shape

The vertex of the image is (5,40)

<h3>How to determine the image</h3>

The vertex of the pre-image is given as:

(1,8)

The scale factor (k) is given as:

k = 5

So, the vertex of the image is:

Vertex = (1,8) * 5

This gives

Vertex = (5,40)

Hence, the vertex of the image is (5,40)

You might be interested in

Rex spent $6.42 at the store. He gave the cashier the money shown above. How much money did Rex get back from the cashier?

cupoosta [38]

The answer is d 10-6.42 is $3.58

4 0

3 years ago

Read 2 more answers

The mayor of a town has proposed a plan for the construction of a new community. A political study took a sample of 800 voters i

Hunter-Best [27]

Answer:

A political strategist wants to test the claim that the percentage of residents who favor construction is more than 30%, so then that represent our claim and needs to be on the alternative hypothesis.

Based on this the correct system of hypothesis are:

Null hypothesis: $p \leq 0.3$

Alternative hypothesis $p >0.3$

Step-by-step explanation:

We have the following info given from the problem:

$n= 800$ the random sample of voters selected from the town

$\hat p = 0.34$ represent the proportion of residents favored construction

$p_o = 0.30$ represent the value desired to test.

Based on this the correct system of hypothesis are:

Null hypothesis: $p \leq 0.3$

Alternative hypothesis $p >0.3$

And in order to test this hypothesis we can use a one sample z test for a population proportion and the statistic would be given by:

$z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}$ (1)

And with the data given we have:

$z=\frac{0.34 -0.3}{\sqrt{\frac{0.3(1-0.3)}{800}}}=2.469$

7 0

3 years ago

I asked before and didn’t get an answer I really don’t understand this thanks.

dmitriy555 [2]

The answer is D, because that is what you should get when you multiply it out.

4x^2 times x^2 = 4x^4 because...

1) multiply the 4 and the one in front of the x on the second term = 4 then

2) multiply x^2 times x^2 to get x^4, not x^3, so you can immediately eliminate A and B to save time.

Now let's deal with the second part..."may or may not be" part

A polynomial is an expression with more than two algebraic terms

terms are like...
2x + 3y ---there's two terms there, eventhough the 2 and x are multiplied, it doesn't count (same with the 3 and y)
since it only have two terms, not more than two terms, it is called a binomial, not polynomial. I think that's what they mean by that

one term with a variable (y,x,and so on) is called a monomial

one term with no var is called a constant

there's many more but hope this gave you some help

3 0

3 years ago

Read 2 more answers

Tell whether the lines through the given points are parallel, perpendicular, or neither. (-3,1), (1,9), (-2-9), (-1,-7)

Brrunno [24]

Answer:

parallel

Step-by-step explanation:

all the details are in the attached picture.