Translate the phrase into an algebraic expression. The product of 7 and x

~~~30 POINTS~~~ Please assist me on this math question!

MAXImum [283]

A)
Let's pick point (4,4) and point (2,2). If you divide the new point by the old point you will see that both the x-value and the y-value were multiplied by 2 to gt the new x-value and new y- value. So the scale factor is 2.

The perimeter of the first square can be found by subtracting the x-values from two points to get the length of one side and then multiply the result by 4 to get the perimeter of the whole square.
2-(-2)=4
The length of one side of the first square is 4. (I just subtracted the x-values.)
4 times 4 = 16.
The perimeter of the first square is 16.

Similarly, 4-(-4)=8 and 8 times 4 = 32.
The perimeter of the second square is 32.

b)
Let's pick point (6,6) and point (3,3). If you divide the new point by the old point you will see that both the x-value and the y-value were multiplied by 2 to gt the new x-value and new y- value. So the scale factor is 2.

The perimeter of the first square can be found by subtracting the x-values from two points to get the length of one side and then multiply the result by 4 to get the perimeter of the whole square.
3-(-3)=6
6 times 4 = 24.
The perimeter of the first square is 24.

Similarly, 6-(-6)=12 and 12 times 4 =48.
The perimeter of the second square is 48.

c)
If a figure is dilated to a scale factor of 2 then the perimeter of the figure will also be doubled.

3 0

3 years ago

Two cyclists, 80 miles apart, start riding toward each other at the same time. One cycles 3 times as fast as the other. If they

vivado [14]

The speed of the faster cyclist will be 30 miles/hour.

Explanation

One cyclist is 3 times as fast as the other.

Lets assume that the speed of the slower cyclist is $x$ miles/hour.

So, the speed of the faster cyclist will be: $3x$ miles/hour.

They start riding toward each other at the same time and meet 2 hours later.

We know that, $Distance= speed*time$

So, the distance traveled by slower cyclist in 2 hours $= (x*2)miles= 2x$ miles and the distance traveled by faster cyclist $=(3x*2) miles = 6x$ miles.