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Sloan [31]
4 years ago
11

Quadrilateral ABCD is dilated about the origin into quadrilateral EFGH

Mathematics
2 answers:
saveliy_v [14]4 years ago
8 0

Answer:

The scale factor = 2.

Step-by-step explanation:

The scale factor is the distance of G from the original divided by the distance of C from the origin.

= √(16^2 + 8^2 - 0) / √(8^2 - 4^2) = 0)

=  √(192) / √(48)

= 2.

olga nikolaevna [1]4 years ago
5 0

Answer:

2

Step-by-step explanation:

8 x 2 = 16

4 x 2 = 8

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The sum of the reciprocals of two consecutive integers is startfraction 11 over 30 endfraction 11 30. find the two integers.
frosja888 [35]
\dfrac{1}{n}+\dfrac{1}{n+1}=\dfrac{11}{30}\\
30n+30(n+1)=11n(n+1)\\
30n+30n+30=11n^2+11n\\
11n^2-49n-30=0\\
11n^2-55n+6n-30=0\\
11n(n-5)+6(n-5)=0\\
(11n+6)(n-5)=0\\
n=-\dfrac{6}{11} \vee n=5\\\\n=5,n+1=6

It's 5 and 6.
8 0
3 years ago
Write and then evaluate an expression for the following number line.
katen-ka-za [31]

Answer:

Step-by-step explanation:

8 0
3 years ago
Which function has a domain of {x | x8}?
mylen [45]

Answer:

b, f(x) - x+8 -1

Step-by-step explanation:

7 0
3 years ago
Susan Bought a soccer ball for her brother. She wants to fool him by putting the ball into a box before wrapping it. The balls c
frutty [35]

Answer:

Ball cannot be fit inside the box.

Step-by-step explanation:

Given:

Circumference of ball = 26 inches

Dimension of box = 8.25 in x 8.25 in x 8.5 in.

We need to find the whether ball gets fits inside the box.

First we will find the Diameter of ball.

Circumference of ball is given so we will find radius of the ball.

Circumference of the sphere is equal to 2 times π times radius.

framing in equation form we get;

2\pi \times r =26\\\\r= \frac{26}{2\pi}= 4.14\ in.

Now we will find the Diameter of the ball.

Diameter of ball is equal to 2 times radius.

framing in equation form we get;

Diameter of ball =  2\times 4.14 = 8.28\ in

Now given that two parallel sides of box has dimension which is 8.25 in.

Since Dimension of box is smaller than diameter of the ball.

Hence we can say that ball cannot be fit inside the box.

5 0
3 years ago
Solve each equation:
serious [3.7K]

Step-by-step explanation:

1) -7 (divide -28 by 4 to isolate x)

2) -8 (two negatives = a positive, so it's x + 6 = -2, then subtract 6 from both sides)

3) 5 (subtract 4 from both sides, and multiply each side by -1)

4) 2 (subtract 7 from both sides, then divide by -3)

5) -3 (add 11 to both sides then divide by 25)

6 0
3 years ago
Read 2 more answers
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