Answer:
Step-by-step explanation:
1). ∠7 ≅ ∠ 2 (alternate exterior)
m∠7 = m∠2 = 30°
2). ∠4 and ∠1 are supplementary angles
m∠1 = 180° - 72° = 108°
The vertex form of the function is y = (x + 8)² - 71
The vertex is (-8 , -71)
Step-by-step explanation:
The vertex form of the quadratic equation y = ax² + bx + c is
y = a(x - h)² + k, where
- (h , k) are the coordinates of the vertex point
- a, b, c are constant where a is the leading coefficient of the function (coefficient of x²) , b is the coefficient of x and c is the y-intercept
- k is the value of y when x = h
∵ y = x² + 16x - 7
∵ y = ax² + bx + c
∴ a = 1 , b = 16 , c = -7
∵
∴
∴ h = -8
To find k substitute y by k and x by -8 in the equation above
∵ k is the value of y when x = h
∵ h = -8
∴ k = (-8)² + 16(-8) - 7 = -71
∵ The vertex form of the quadratic equation is y = a(x - h)² + k
∵ a = 1 , h = -8 , k = -71
∴ y = (1)(x - (-8))² + (-71)
∴ y = (x + 8)² - 71
∵ (h , k) are the coordinates of the vertex point
∵ h = -8 and k = -71
∴ The vertex is (-8 , -71)
The vertex form of the function is y = (x + 8)² - 71
The vertex is (-8 , -71)
Learn more:
You can learn more about quadratic equation in brainly.com/question/9390381
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4/6 = 12/18
8/10 = 16/20
2/5 = 4/10
1/4 = 4/16
Can I get brainiest please.
Answer:
If you see the top and bottom of the figures are getting smaller by two, so for A its getting smaller by two, and for B it will just be a solid set of four lines
Step-by-step explanation: make sure you put it in you own words