Answer: w=5 , L= 2+2(5)=12
Step-by-step explanation:
L=2+2W
A= 60
LxW=60, now we will replace the L
(2+2W)(W)=60 we multiply
2w^2+2w=60
2w^2+2w-60=0 we divide by 2 the equation so we can work easier
w^2+w-30=0
find out w using the quadratic equation
we will get 2 solution,
w=5 and another solution is -6, which is not valid, as the side can not be negative
It’s definitely A
Ex: f(x)=8x+2
f(x)=8(-4)+2
f(x)=-32+2
f(x)=-30
Answer:
(x, y, z) =(1, -1,2)
Step-by-step explanation:
.............
Answer:
10 boys, 15 girls
Step-by-step explanation:
Original ratio: 2 boys/3 girls
let x be the scale factor of the ratio
2x plus 5 boys over 3x girls = 1 (because the # of boys/girls are the same)-------> 2x+5/3x = 1
Simplify: 2x+5=3x
Simplify: 5=x
plug x back into the original ratio: 10/15
Check: 10/15 = 2/3
10 boys + 5 boys = 15, 15/15 = 1
Answer:
100
Step-by-step explanation:
Simplify the following:
4 (12 - 2)^2/4
Hint: | Express 4 (12 - 2)^2/4 as a single fraction.
4 (12 - 2)^2/4 = (4 (12 - 2)^2)/4:
(4 (12 - 2)^2)/4
Hint: | Cancel common terms in the numerator and denominator of (4 (12 - 2)^2)/4.
(4 (12 - 2)^2)/4 = 4/4×(12 - 2)^2 = (12 - 2)^2:
(12 - 2)^2
Hint: | Subtract 2 from 12.
| 1 | 2
- | | 2
| 1 | 0:
10^2
Hint: | Evaluate 10^2.
| 1 | 0
× | 1 | 0
| 0 | 0
1 | 0 | 0
1 | 0 | 0:
Answer: 100
