Answer:
The change in the area of the rectangle is 0 square feet
Step-by-step explanation:
To solve this problem we have to calculate the area of the two rectangles that give us
first we have to know the formula to calculate the area of a rectangle
a = area
l = length = 12ft
w = width = 5ft
a = l * w
we replace the known walues
a = 12ft * 5ft
a = 60ft²
we do the same with the other rectangle, but first we have to calculate its sides
w = 5ft - (5ft * 20/100)
w = 5ft - 1ft
w = 4ft
l = 12ft + (12ft * 25/100)
l = 12ft + 3ft
l = 15ft
a2 = 15ft * 4ft
a2 = 60ft²
to calculate the change in the area we subtract (a - a2)
a - a2 =
60ft² - 60ft² = 0ft²
Answer:
a) scale factor = 1.5
b) d length is 7.5
c) Area scale factor is 2.25
Step-by-step explanation:
Given QR =6
And ST =9
Length Scalar factor = enlarged length /previous length
=9/6
=1.5
Length Scalar factor =1.5
b)we know PS enlarged length of PQ
Length scale factor = PS/PQ
1.5 =PS/5
PS =5×1.5
PS =d =7.5
d length is 7.5
c)Formula :
Area scale factor = (length scale factor)2
=(1.5)2
=2.25
Area scale factor is 2.25
Answer: Jeremy drove 84 miles.
Step-by-step explanation:
Let x represent the number of miles that Brenda drove.
If Jeremy drove twice
as far as Brenda, it means that the distance covered by Jeremy would be 2x miles
When they stopped after some time, they were already
126 miles apart. This means that the total distance covered by both of them is 126 miles. Therefore,
x + 2x = 126
3x = 126
x = 126/3
x = 42 miles
The number of miles that Jeremy drove is
42 × 2 = 84 miles
Answer:
x= -2/3 and 6
Step-by-step explanation:
3x²-16x-12
3x²-18x+2x-12
(3x²-18x)+(2x-12)
3x(x-6)+2(x-6)
(3x+2)(x-6)
x= -2/3 and 6