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devlian [24]
3 years ago
14

Square ABCD is shown below with line EF and passing through the center:​

Mathematics
2 answers:
netineya [11]3 years ago
7 0

Answer:  B) contain the points E and F

<u>Step-by-step explanation:</u>

Dilation of 2 means to multiply both the x- and y-coordinates by 2

<em>see image below</em>

<em />

The only option that is true that E'F' contains points E and F

Georgia [21]3 years ago
7 0

Answer:

  contains the points E and F

Step-by-step explanation:

The center of dilation is an invariant point. It doesn't move, regardless of the dilation factor.

Likewise, any line through the center of dilation will not move. It is not rotated or translated by dilation--it simply is stretched (or compressed) along its length. It is still an infinite line, and it still goes through all of the points it went through before dilation.

The line through the center of dilation that contains points E and F, after dilation, ...

  contains the points E and F.

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Albert has $105 to spend on new basketball shoes. On his favorite shoe website, the prices for a pair of the shoes range from $8
STatiana [176]

<u>Scenario 1</u>

It is given that on Albert's favorite shoe website, the prices for a pair of the shoes range from $80 to $180 and the delivery fee is one-twentieth of the price of the basketball shoes.

We know that Albert has $105 to spend on new basketball shoes.

From the above pieces of information we see that the minimum that Albert will have to spend is 80+\frac{1}{12}\times 80=80+6.67=86.67 dollars.

Now, we know that Albert can spend a maximum of $105 including the delivery fee. Let the upper limit of the price of the shoe Albert can buy be x. So, the upper limit of the domain can be found as:

x+\frac{1}{12}x=105

\frac{13}{12}x=105

\therefore x=\frac{105\times 12}{13}\approx 96.92 dollars.

Thus, in the first scenario, the domain of the total cost function, f(c) will be [86.67,96.92].

<u>Scenario 2</u>

After receiving $42 from his friend, Albert's total buying power becomes $147. Albert can now buy a costlier pair of shoes.

Thus, the maximum that Albert can buy is again given by:

x+\frac{1}{12}x=147

Solving this we get: x=135.69 dollars

The lower limit will remain the same as the lowest price point in the website is $80. Therefore, in the second scenario the domain is:

[86.67, 135.69]

5 0
3 years ago
6. Ray, Mike, and Jon collected a total of 500 postage stamps from around the world. Ray
Lena [83]

Answer: Jon collected 173 stamps.

6 0
3 years ago
P=6(y + 3q)express y in terms of p and q
user100 [1]
Can i get brainliest hehehehe

5 0
4 years ago
The functions f and g are defined as follows.
g100num [7]

Answer:

f(-5)=-16\\g(2)=-11

Step-by-step explanation:

By definition, a relation is a function if and only if each input value have one and only one output value.

The input values are the x-values and the output values are the y-values.

Given the function f(x):

f(x)=3x-1

You need to substitute x=-5 into this function:

f(-5)=3(-5)-1

And now you must evaluate in order to find the corresponding output value.

You get:

f(-5)=-15-1\\\\f(-5)=-16

The function g(x) is:

g(x)=-2x^2-3

Then, you need to substitute x=2 in the function:

g(2)=-2(2)^2-3

And  finally you must evaluate in order to find the corresponding output value. This is:

g(2)=-2(4)-3\\\\g(2)=-8-3\\\\g(2)=-11

8 0
3 years ago
4. You deposit $1,000 in the bank at 4.25% yearly interest. How much money do you have in the bank after 5 years?​
tatiyna

Answer:

4.25/100*1000*(5)

+1000

$1212.5

5 0
3 years ago
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