Discriminant =
b² - 4ac
3² - 4(2)(- 9)
9 + 72
81
Your equation has two real solutions.
2x² + 3x - 9 = 0
2x² + 6x - 3x - 9 = 0
2x(x + 3) - 3(x + 3) = 0
(2x - 3)(x + 3) = 0
Set each equal to zero:
2x - 3 = 0
2x = 3
x = 3/2
x + 3 = 0
x = - 3
Your two solutions are x = - 3, 3/2
<span>x = 4
Given the description of the triangles, you have 2 similar right triangles. The smaller triangle has a height of 20 and a base of 3x, while the larger has a height of (20+8) = 28 and a base of 4x + 2. We wish to determine the value of x. Since the triangles are similar, the ratio of corresponding sides will be a constant. So:
20/28 = (3x)/(4x+2)
(4x+2)20/28 = (3x)
(20/28)*4x+(20/28)*2 = (3x)
(80/28)*x+(40/28) = (3x)
(20/7)*x + 4/7 = 3x
4/7 = 3x - (20/7)*x
4/7 = (21/7)x - (20/7)*x
4/7 = x/7
4 = x
So the value of x is 4.</span>
Answer:
Concept: Unit Price & Algebraic Representation
- You have 12 oz
- You have a total price of 2.10
- Hence you divide 2.10/12
- Your result to the nearest tenth is 0.2
- Rate positively and give brainlist
Answer:
B
Step-by-step explanation:
I got 100 on my test and that was my answer
9514 1404 393
Answer:
a^4·m^4·n^8
Step-by-step explanation:
The applicable rule of exponents is ...
(a^b)(a^c) = a^(b+c)
__
m^2n^3 aanm^2a^2n^4
= a^(1+1+2)·m^(2+2)·n^(3+1+4)
= a^4·m^4·n^8