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Ber [7]
3 years ago
8

A rectangle has a vertices E(-4,8),F(2,8),G(2,-2) and H(-4,-2). The rectangle is dilated with the origin as the center of dilate

d so that G is located at (5,-5). Which algebraic representation represents this dilation.
A. (x,y)—> (x+3, y+3)

B. (x,y)—> ( 2/5x, 2/5y)

C. (x,y)—>(x -5, y -5)

D. (x,y)—> (2.5x, 2.5y)

Mathematics
2 answers:
iris [78.8K]3 years ago
4 0
C. is the answer your looking for!
Vera_Pavlovna [14]3 years ago
4 0

Answer:

C

Step-by-step explanation:

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A freight train is carrying goods across the country. The distance it has traveled varies directly with the number of gallons of
kicyunya [14]

Answer:

Step-by-step explanation:

The train uses

\frac{400gallons}{200miles}

If you reduce that you get that the train uses

\frac{2gallons}{1mile}

To find the slope of the line, we will use the 2 points on the coordinate plane where the graph goes through:  (0, 0) and (400, 200)

Applying the slope formula:

m=\frac{200-0}{400-0}=\frac{1}{2}

6 0
4 years ago
The function g(x) = 3x2 − 12x + 7 written in vertex form is g(x) = 3(x − 2)2 − 5. What is the vertex of g(x)?
faltersainse [42]

Answer:  The correct option is (C). (2, -5).

Step-by-step explanation:  The given function is

g(x)=3x^2-12x+7.

The vertex form of the function g(x) is g(x)=3(x-2)^2-5~~~~~~~~~~~~~~~~~~~~~~(i)

We know that if the vertex form of a function f(x) is written as

f(x)=a(x-h)^2+k,

then its vertex is (h, k).

So, from equation (i), we can say that the vertex of function g(x) is

(2, -5).

Thus, (C) is the correct option.

5 0
3 years ago
Read 2 more answers
The level of water in a dam was decreasing by 20% each day. If the level of water was 1500cm,what was the level after two days?
makkiz [27]

Answer:

L_o= 1500 cm

And we know that the level is decreasing 20% each day so then we can use the following model for the problem

L_f = L_o (1-0.2)^t

Where t represent the number of days and L the level for this case we want to fnd the level after two days so then t =2 and replacing we got:

L_f = 1500cm(0.8)^2 = 960cm

Step-by-step explanation:

For this case we know that the initial volume of water is:

L_o= 1500 cm

And we know that the level is decreasing 20% each day so then we can use the following model for the problem

L_f = L_o (1-0.2)^t

Where t represent the number of days and L the level for this case we want to fnd the level after two days so then t =2 and replacing we got:

L_f = 1500cm(0.8)^2 = 960cm

6 0
4 years ago
Please help! Also please make sure you include a let statement :) Thank you
nata0808 [166]

Answer:

this is more than one question

Step-by-step explanation:

4 0
3 years ago
Giovani solves a system of equations algebrically he concludes that the lines are parallel which could be the final of his solut
kenny6666 [7]

Answer:

If the lines are parallel, final form of his solution is

b) -5 = -5+1

Step-by-step explanation:

As the options are not given in the question and the question is incomplete, lets complete the question first.

Giovani solves a system of linear equations algebrically, he concludes that the lines are parallel. Which could be his final answer.

a) -5 = -5

b) -5 = -5+1

c) 11 = 11

d) 5 = 5

We know that parallel lines never cross at any point, there is no intersection point, which eventually means that there is no solution to the given equations. A system of equations which have no solution is called an inconsistent system of equations, and it graphs the parallel line.

From the options we can clearly see that only (b) has no solution, while all the rest of the options have solutions. Hence, -5 = -5+1 represents parallel lines.

3 0
3 years ago
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