30 60 90 right triangle
leg = 6 so other leg = 6√3
A = (1/2)(6+6)( 6√3+ 6√3)
A = 6 (12√3)
A = 72√3
answer is D
72√3
Here's the equation for one year:
0.03(8000) + 8000
For four years:
4(0.03(8000)) + 8000
0.12(8000) + 8000
To make it simpler/smaller:
1.12(8000) = 8960
You can make 960 more dollars, and you now have $8960
I'm pretty sure it's 5 over 10! Hope I helped =)
Answer:
Step-by-step explanation:
Use proportions to solve.
Corresponding sides have same ratio.
<u>Question 1</u>
- (6x + 3)/17 = (8x - 1)/21
- 21(6x + 3) = 17(8x - 1)
- 126x + 63 = 136x - 17
- 10x = 80
- x = 8
<u>Question 2</u>
- (x + 8)/21 = 32/28
- x + 8 = 21*8/7
- x + 8 = 24
- x = 24 - 8
- x = 16
Answer: (3x + 11y)^2
Demonstration:
The polynomial is a perfect square trinomial, because:
1) √ [9x^2] = 3x
2) √121y^2] = 11y
3) 66xy = 2 *(3x)(11y)
Then it is factored as a square binomial, being the factored expression:
[ 3x + 11y]^2
Now you can verify working backwar, i.e expanding the parenthesis.
Remember that the expansion of a square binomial is:
- square of the first term => (3x)^2 = 9x^2
- double product of first term times second term =>2 (3x)(11y) = 66xy
- square of the second term => (11y)^2 = 121y^2
=> [3x + 11y]^2 = 9x^2 + 66xy + 121y^2, which is the original polynomial.
