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Veronika [31]
2 years ago
15

the standard form of the equation of a parabola is y=x^2 -8x + 29. what is the vertex form of the equation?

Mathematics
2 answers:
ankoles [38]2 years ago
5 0
Y - 29 = x² - 8x  ←I moved the constant to the other side
y - 29 + (-4)² = x² - 8x + (-4)² ← I just completed the square (b/2)² added to each side

y - 13 = (x - 4)² ← factored perfect square trinomial

y = (x - 4)² + 13 ← move constant back with binomial 
tatuchka [14]2 years ago
4 0
The vertex is (0,21)
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Estimate 102.3 divided by 4.7
qwelly [4]

Answer:

20

Explanation:

To estimate, we round.  102.3 rounds to 100 and 4.7 rounds to 5; this means we divide 100/5, which is 20.

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3 years ago
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What is an estimate of 23 times 67
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What is an estimate of 23 times 67
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3 years ago
Charlotte is solving the following equation for X (x+3)^2-10=2 her first steps are given below (x+3)^2=12 x+3= + square root 12
Katarina [22]

The values of the x in the given equation are x = 6.46 and x = -0.46

<h3>Solving an equation </h3>

From the question, we are to solve the equation for x

The given equation is

(x+3)² -10 = 2

First, add 10 to both sides of the equation

(x+3)² -10 +10 = 2 +10

(x+3)²  = 12

Now, take the square root of both sides to get

x + 3 = ±√12

∴ x = 3 ± √12

x = 3+√12 OR 3-√12

x = 3 + 3.46 OR 3 - 3.46

x = 6.46 OR -0.46

Hence, the values of the x in the given equation are x = 6.46 and x = -0.46

Learn more on Solving an equation here: brainly.com/question/24334139

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7 0
2 years ago
Prove that if a is an integer other than 0 then<br> a.1 divides<br> a.<br> b.a divides 0
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7 0
3 years ago
Solve for w pls help thank u
masya89 [10]

Answer:

w = -19

Step-by-step explanation:

-6w + 4(w +3) = 26

-6w + 4w + 12 = 26

simplify

-2w + 12 = 26

now get the variable and the numbers on different sides

-2w + 12 - 12 = -2w

26 + 12 = 38

-2w = 38

now divide each side by -2

-2w / -2 = w

38 / -2 = -19

w = -19

3 0
3 years ago
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