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Genrish500 [490]
3 years ago
14

Whats the vertex form of y=x^2-20x+15

Mathematics
1 answer:
Sveta_85 [38]3 years ago
6 0
This looks like a parabola so:
y=x^2 - 20x + 15  -->  x^2 - 20x +15=y
(x^2 -20x)=y - 15  -->  (x - 10)^2=y - 15 +100  ( used complete the square)
(x - 10)^2=y + 85

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Answer the Question below (45 points)
iren [92.7K]

3x-5=-6x+13 : Given

3x=-6x+18 : Addition property of Equality

9x=18: Subtraction property of Equality

x=2: Division Property of Equality

Step-by-step explanation:

We need to give justification to each step

Step 1:

3x-5=-6x+13

This is the question given, which we need to solve and find value of x.

Justification: Given

Step 2:

Adding 5 on both sides of the equation using addition property of equality.

3x-5+5=-6x+13+5

Simplifying

3x=-6x+18

Justification: Addition property of Equality

Step 3:

Adding 6x on both sides of the equation

3x+6x=-6x+18+6x

9x=18

Justification: Subtraction property of Equality

Step 4:

Divide both sides of the equation by 9, to find the value of x using division property of equality

9x/9=18/9

x=2

Justification: Division Property of Equality

Keywords: Solving Equations

Learn more about Solving Equations at:

  • brainly.com/question/1563227
  • brainly.com/question/2403985
  • brainly.com/question/11229113

#learnwithBrainly

8 0
3 years ago
Find the measure of angle F
Tema [17]

Answer:

∠ F = 80°

Step-by-step explanation:

The sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

Here n = 6 , then

sum = 180° × 4 = 720°

Sum the interior angles and equate to 720

7x + 7x + 4x + 7x + 7x + 4x = 720

36x = 720 ( divide both sides by 36 )

x = 20

Then

∠ F = 4x = 4 × 20° = 80°

3 0
3 years ago
You roll a six-sided dice numbered 1-6, and eight sided dice numbered 1-8, and a ten sided dice numbered 1-10. What is the proba
bezimeni [28]

Answer:

1/480

Step-by-step explanation:

<h3>for the 6 sided one</h3>

rolling a 5 is 1/6

<h3>for the 8 sided one</h3>

rolling a 5 is 1/8

<h3>for the 10 sided one</h3>

rolling a 5 is 1/10

total probability= 1/6*1/8*1/10

= 1/480

8 0
3 years ago
List all of the numbers between 20 and 30 that are prime
Inga [223]
23 and 29 are the only 2 prime numbers from 20 to 30
6 0
3 years ago
X^2=12x-40 solve this equation using the quadratic formula​
dybincka [34]

Answer:

Step-by-step explanation:

X²=12x-40

X²-12x+40=0

a=1  and b= -12 and c = 40

delta = b² - 4ac

delta = (-12)² - 4(1)(40) = 144 - 160 = - 16 = (4i)² ....i² = -1

x1= (12-4i)/2 =6-2i

x1= (12+4i)/2 =6+2i

7 0
3 years ago
Read 2 more answers
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