Answer:
See below
Step-by-step explanation:
<u>Sides of the garden</u>
<u>New dimensions of the garden</u>
<u>1. The area of the new garden</u>
- (16 + 2x)(8 + x) =
- 2x^2 + 32x + 128
<u>2. The difference in area </u>
- 2x^2 + 32x + 128 - 16*8 =
- 2x^2 + 32x
<u>3. x= 2 effect on the area</u>
- 2*2^2 + 32*2 =
- 8 + 64 =
- 72 ft²
<u>4. Area difference = 160</u>
- 2x^2 + 32x = 160
- x^2 + 16x - 80 = 0
- Solving we get positive root of 4 ft
<u>5. Area difference = 4 times</u>
- 2x^2 + 32x = 128*3
- 2x^2 + 32x - 384 = 0
- x^2 + 16x - 192= 0
- Solving we get positive root of 8 ft
Answer:
She worked for 6 hours on Saturday.
Step-by-step explanation:
Number of hours worked by Danielle last week = 18.25 hours
She worked for three days, Monday, Wednesday and Saturday.
Let she worked on Saturday = x hours
Therefore, total hours worked by Danielle in three days = 6.5 + 5.75 + x
And the equation will be,
6.5 + 5.75 + x = 18.25
12.25 + x = 18.25
x = 18.25 - 12.25
x = 6
Therefore, she worked for 6 hours on Saturday.
Answer:
Is A
Step-by-step explanation:
Answer:
c. (2, -18)
Step-by-step explanation:
y = -5x - 8
y = 3x - 24
3x - 24 = -5x - 8
8x = 16
x = 2
y = 3x - 24
y = 3(2) - 24
y = 6 - 24
y = -18
Answer: c. (2, -18)