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IceJOKER [234]
3 years ago
8

Write the quadratic function in vertex form, then identify the vertex

Mathematics
1 answer:
34kurt3 years ago
8 0

Answer:

vertex = (- 10, - 10 )

Step-by-step explanation:

The equation of a quadratic in vertex form is

y = a(x - h)² + k

where (h, k ) are the coordinates of the vertex and a is a multiplier

To obtain this form use the method of completing the square.

Given

h(x) = x² + 20x + 90

add/subtract ( half the coefficient of the x- term )²

h(x) = x² + 2(10)x + 100 - 100 + 90

      = (x + 10)² - 10 ← in vertex form

with (h, k ) = (- 10, - 10 )

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Solve ΔABC with ABC=51°, c=8 and a=11. Draw a diagram.
Rashid [163]

To solve a triangle means to obtain al the missing parts of the triangle.

<h3>How do you solve a triangle?</h3>

To solve a triangle means to obtain al the missing parts of the triangle. Now we have the following information;

<ABC = 51°

c = 8

a = 11

Then;

b^2 = a^2 + c^2 - 2acCos B

b^2 = (11)^2 + (8)^2 - [2 * 11 * 8 * cos 51]

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Now;

a/sinA = b/sinB

asinB = bsinA

sinA = asinB/b

sinA = 11 * sin 51/11.39

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C = 180 - (49 + 51)

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Learn more about triangles:brainly.com/question/2773823

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7 0
2 years ago
When an oil tank is 7/12 full, it contains 5 1/4 gallons. How many gallons does it hold when full
blondinia [14]
<h3>Answer:</h3>

The tank can hold up to 9 gallons.

Quick Review:

By doing the inverse of 7/12, 12/7, when you multiply it, you'll get a value of 1.

7/12 * 12/7 = 1

Doing the Problem:

By multiplying 5 1/4 by 12/7, you'll get the answer. But first, convert 5 1/4 into an improper fraction.

5 1/4 ---> 21/4

Okay, lets go!

21/4 * 12/7 = 252/28

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Hope that helps, :)

6 0
3 years ago
The federal government covers a period called a _____ year??
mr Goodwill [35]

Answer:

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The fiscal year is the accounting period for the federal government which begins on October 1 and ends on September 30. The fiscal year is designated by the calendar year in which it ends; for example, fiscal year 2013 begins on October 1, 2012 and ends on September 30, 2013.

6 0
3 years ago
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