This is an arithmetic series, so we know, that:
Sum = (First term + Last term) * Number of terms /2
Here we have:
First term = 33
Last term = 104
Number of terms = 104 - 33 + 1 = 72
and
Answer:
67.84 is the answer.
Step-by-step explanation:
12.8 times 5.3 equals 67.84
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Answer:
B: 39 degrees
Step-by-step explanation: The angles in a triangle add up to 180 degrees. 180 - 30 - 24 = 126.
126 = (3x-9).
126 - 9 = 117.
117 / 3 = 39
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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Answer:
Cross multiplying fractions helps us to see if numbers are equal, and if not, which is bigger and which is smaller. But that is not its only use. Cross multiplying fractions can help us to solve for unknown variables in fractions.
Step-by-step explanation:
