The value of n in the equation is 1
Step-by-step explanation:
The equation is (2n + 4) + 6 = -9 + 4(2n + 1)
At first we must do that:
1. Open the brackets in both sides
2. Add like terms
3. Solve to find n
L.H.S:
∵ (2n + 4) + 6 = -n - 2 + 6
∴ (2n + 4) + 6 = -n + 4
R.H.S:
∵ -9 + 4(2n + 1) = -9 + 8n + 4
∴ -9 + 4(2n + 1) = 8n - 5
∴ -n + 4 = 8n - 5
- Add 5 to both sides
∴ -n + 9 = 8n
- Add n to both sides
∴ 9 = 9n
- Divide both sides by 9
∴ n = 1
The value of n in the equation is 1
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Answer:
C = 10
Step-by-step explanation:
+ =
+ = 100
= 10
The width in only one side is 56ft and in both it is 112ft. The length in only one side is 61ft and in both sides it is 122ft.
Answer: shifted left 6 units, down 4 units, and reflected over the x-axis
<u>Step-by-step explanation:</u>
The vertex form of a quadratic equation is: y = a(x - h)² + k where
- "a" is the vertical stretch
- -a is a reflection over the x-axis (+a = U-shape), -a = ∩-shape)
- (h, k) is the vertex
- h is the horizontal shift (positive = right, negative = left)
- k is the vertical shift (positive = up, negative = down)
Given: Vertex (h, k) = (-6, -4)
Parabola is ∩-shaped so "a" is negative
Next points from vertex are 1 down 1 right and 1 down 1 left --> a = -1
Input a = -1, h = -6, k = -4 into the Vertex form:
y = -(x + 6)² - 4
a = -1: reflected over the x-axis
h = -6: shifted left 6 units
k = -4: shifted down 4 units