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Nimfa-mama [501]
3 years ago
5

What are the scale factor and center of the dilation?

Mathematics
1 answer:
Dafna11 [192]3 years ago
4 0

Answer:

Step-by-step explanation:

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Please help me<br><br><br><br>The question has 7 marks so please give 7 valid reasons
barxatty [35]
Its a cube with dimensions 4 by "x+1" by "x+11"
So if you multiply all 3 of these you will get the total volume of 924.
So our equation is:
4(x+1)(x+11) = 924
(x+1)(x+11) = 231
x²+12x+11 = 231
x²+12x-220 = 0

Now factor to:
(x+22)(x-10) = 0
Thus x = -22 or 10.

Only 10 makes sense here since we can't have a negative length.  So x = 10.
Now plug in x back into our original expressions to get the dimensions.

The original dimesions are: 4cm x 11cm x 21cm

Ta-dah!

5 0
3 years ago
"Write two equations: one parallel, one perpendicular to (5,-2) y= 1/5x-3
guajiro [1.7K]

Answer:

For parallel:

gradient is 1/5

y = mx + c

consider (5, -2):

- 2 = ( \frac{1}{5}  \times 5) + c \\  - 2 = 1 + c \\ c =  - 3

{ \boxed{ \bf{equation : y =  \frac{1}{5}x - 3 }}}

For perpendicular:

gradient, m1:

m _{1} \times m_{2} =  - 1 \\ m _{1} \times  \frac{1}{5}  =  - 1 \\  \\ m _{1} =  - 5

gradient = -5

y = mx + c \\  - 2 = (5 \times -  5) + c \\  - 2 =  - 25 + c \\ c =  23

{ \boxed{ \bf{equation :y =  - 5x + 23 }}}

7 0
3 years ago
Read 2 more answers
The volume of a right triangular prism is 72 cubic feet. The height of the prism is 9 feet. The triangular base is an isosceles
Alexxx [7]
What is the area of the triangular base?
8 square feet

What is the length of edge DF?
4 feet
3 0
3 years ago
Read 2 more answers
Robert takes 10 days more than Peter to complete a job. If they work together they will
melamori03 [73]

Answer:

I believe the answer is 2

Step-by-step explanation:

5 0
3 years ago
Zoe counts 5 times as many black kittens as white kittens for sale at the pet store. she counts a total of 25 kittens how many m
malfutka [58]

Let us say that:

a = black kittens

b = white kittens

 

We know that:

a = 5 b

a + b = 25

 

Therefore:

5 b + b = 25

6 b = 25

b = 4.17

But we cannot have a fraction value for the number of kittens, so round off:

b = 4

 

So a is:

a = 25 – 4 = 21

 

<span>Hence Zoe counts additional 1 black kitten.</span>

3 0
3 years ago
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