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)
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Answer:
m∠B = 66.3°
a = 0.0319
b = 0.0726
Step-by-step explanation:
Sum of the interior angles of a triangle = 180°
⇒ m∠A + m∠B + m∠C = 180°
⇒ 23.7 + m∠B + 90 = 180
⇒ m∠B = 180 - 90 - 23.7 = 66.3°
We can use the sine rule to help solve the missing side lengths.
<u>Sine rule</u>
where A, B and C are the angles and a, b and c are the side lengths opposite the angles.
Therefore,
The volume of the cylinder is 128, rounded to the nearest tenth is 130
The answer is 2.5/100, which equals 25/1000, and then you would simplify it, and then you would get 5/200, which you would get (after dividing top and bottom by 5)
1/50 is the answer.
Hope this helps, and have a nice day:)
You use it at the end of a sentence and it looks like this! It means like loud