Answer:
length = 10 units; width = 3 units
Step-by-step explanation:
Let the width = w
Then the length is w + 7
Original area: w(w + 7)
Double the width: 2w
Increase the length by 2: w + 9
Area of new rectangle: 2w(w + 9)
Area of new rectangle = w(w + 7) + 42
2w(w + 9) = w(w + 7) + 42
2w^2 + 18w = w^2 + 7w + 42
w^2 + 11w - 42 = 0
(w + 14)(w - 3) = 0
w + 14 = 0 or w - 3 = 0
w = -14 or w = 3
A width cannot be negative, so we discard w = -14.
The original width is 3 units.
The length is 7 more than the width, so the length is 10 units.
Answer:
x = 3
y = -5
Step-by-step explanation:
5x+2y= 5 equation 1
3х - у = 14 equation 2
using equation 2 we have:
3x - 14 = y equation 3
using equation 3 in equation 1 we have:
5x + 2(3x -14) = 5
5x + 6x -28 = 5
11x = 5+28
11x = 33
x =33/11
x = 3
using equation 3 we have:
3(3) - 14 = y
y =9-14
y = -5
Answer:
y = -2x + 7
Step-by-step explanation:
The y intercept is 7, and the slope is down 2 right 1, so therefore the slope is equal to -2.
Answer:
68 words
Step-by-step explanation:
To find how many words Gordon types per minute :
1972 ÷ 29 = 68 #
The stamens is false for any value of x
