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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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3 0
2 years ago
Round to the nearest tenth.
inessss [21]

Answer: Angle A = 53.9 degrees

Step-by-step explanation: We have a right angled triangle with two sides clearly given and one angle to be calculated. If the angle to be calculated is angle A, then having angle A as our reference angle, line AC (10 units) is the adjacent, line CB is the opposite while line AB (17 units) is the hypotenuse. Having been given the adjacent and the hypotenuse, we can now use the trigonometric ratio as follows;

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6 0
3 years ago
Bonus question ! <br> If you answer something dumb I'll report you .
Liono4ka [1.6K]
Hello,
We know that
1/Angle 1= Angle 6= Angle 9= Angle 14=Angle 3= Angle 8= Angle 11= Angle 16

2/Angle 2= Angle 5= Angle 10= Angle 13= Angle 4=Angle 7=Angle 12= Angle 15

Check:
Option A:
Angle 2= Angle 7
Parallel
Option B:
Angle 3= Angle 11
Parallel

Option C:
Angle 1= Angle 12
None

Option D:
Angle 13= Angle 12
Parallel

Option E:
Angle 6 angle 7 are supplementary; supplementary means that both angles add up together to get 180°. To help you understand clearly, you see that when the two angle on the same line like angle 5 and 6, angle 1 and 5. However, for this one it will be False because both angle are obtuse which more than 90°. Hope it help!
4 0
3 years ago
Read 2 more answers
To find 19+(11+37), lennie added 19 and 11. then he added 37 to the sum. what property did he use?
Rudiy27
<span>Lennie used associative law of addition.
Associative law of addition doesn’t matter how you group the given numbers to add.

a + (b + c) = (a + b) + c
=> 19 + (11 + 37) or ( 19 + 11) + 37
=>  19 + (48) or (30) + 37
=> 67 or 67</span>



3 0
3 years ago
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