When you are doing distribution with this problem you are going to get your answer of....
D) 12x^2 - 13x - 14
Steps:
Simplify...
<span>(3x + 2)(4x - 7)
= (3x + 2) (4x + -7)
= (3x)(4x) + (3x)(-7) + (2)(4x) + (2)(-7)
= 12x^2 - 21x + 8x - 14
=12x^2 - 13x -14</span>
Step-by-step explanation:
By Intersecting Chords Theorem,
9 * 4x = 8 * (4x + 2).
=> 36x = 32x + 16
=> 4x = 16, x = 4. (2)
Answer:

Step-by-step explanation:
To find the cost of the entire fence, we need to first determine the lawn's length before calculating its perimeter.
Area of rectangular lawn =
(formula for the area of a rectangle)

feet
Now that we have the lawn's length and width, we can calculate the perimeter:
Perimeter
(formula for the perimeter of a rectangle)

feet
Since each foot of lawn costs $2, then the cost of the entire fence will be:

∴ The entire fence costs
.
Hope this helps :)
Answer:
a.
R-------8/38--------RR
R------9/39--------B-------13/38-------RB
G------17/38--------RG
R-------9/38--------BR
B--------13/39------B-------12/38-------BB
G-------17/38-------BG
R-----9/38--------GR
G---------17/39-------B------13/38-------GB
G------16/38-------GG
b).
- 9 ways
- ways you can select 1 blue are; RB,BR,BG,GB
RB=9/39 × 13/38=3/38
BR= 13/39 × 9/38 =3/38
BG= 13/39 × 17/38=17/114
GB= 17/39 × 13/38=17/114
=3/38 +3/38+17/114+ 17/114 =26/57
- Probability of selecting 2 red markers= RR = 9/39 × 8/38 =12/247
- Probability of selecting a green marker and then a red marker= GR= 17/39×9/38 =51/494
Answer:
He is 2 years old.
Step-by-step explanation:
She is 22, in 8 years she will be 30. 30 is 3×10. At that time, her brother will be 10; that is 8 years from now. So now, the little brother is 10-8 = 2 years old.
If you must show algebra work:
x = brother's age now.
x+8=brother's age in 8 years.
YingYu's age in 8 years = 3 × brother's age in 8 years
22+8 = 3(x+8)
30 = 3x +24
6 = 3x
2 = x