Answer:
<h2>8(u + 3) = 8u + 24</h2>
Step-by-step explanation:
Answer:
1,1,1,1
Step-by-step explanation:
I believe this is right
Answer:
UX ≈ 4.5
△UVW = 49.5 ft²
Step-by-step explanation:
[] We can assume that UX is the midline of this triangle.
22 ft / 2 = 11 ft
XW and VX = 11 ft
[] Now that we have 2 sides of a right traingle, we can find the third.
a² + 11² = 12²
a² + 121 = 144
a² = 20
a = about 4.5, which is side UX
[] Since we have all three sides of the triangle, we can also solve for the total triangle's area. To solve for the area of a triangle, we do base times height divided by 2
22 * 4.5 = 99
99 / 2 = 49.5 ft²
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.
- Heather
Answer:
k = 8
Step-by-step explanation:
Since the roots of the equation 3x² + 2x + k are x₁ and x₂ and 2x₁ = 3x₂.
By the roots of an equation, ax² + bx + c , where its roots are x₁ and x₂. It follows that sum of roots are x₁ + x₂ = -b/a and product of roots are x₁x₂ = c/a.
Comparing both equations, a = 3 b = 2 and c = k.
So, x₁ + x₂ = -b/a = -2/3 and x₁x₂ = c/a = k/3
x₁ + x₂ = -2/3 and x₁x₂ = k/3
3x₁ + 3x₂ = -2 (1) and 3x₁x₂ = k (2)
Since 2x₁ = -3x₂, and -2x₁ = 3x₂substituting this into equations (1) and (2) above, we have
3x₁ + 3x₂ = -2 (1) and 3x₁x₂ = k (2)
3x₁ + (-2x₁) = -2 and x₁(3x₂) = k
3x₁ - 2x₁ = -2 and x₁(3x₂) = k
x₁ = -2 and x₁(-2x₁) = k
x₁ = -2 and -2x₁² = k
Substituting x₁ = -2 into -2x₁² = k, we have
-2x₁² = k
-2(-2)² = k
2(4) = k
8 = k
So, k = 8
Answer:
D. 1/4 and 8/32
Step-by-step explanation:
its d because if you simplify 8/32 you get 1/4
