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larisa [96]
3 years ago
11

What is the distance between the solutions to the quadratic equation x2 – 7x + 10 = 28

Mathematics
1 answer:
Kryger [21]3 years ago
4 0

Answer:

11

Step-by-step explanation:

Given

x² - 7x + 10 = 28 ( subtract 28 from both sides )

x² - 7x - 18 = 0 ← in standard form

(x - 9)(x + 2) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 9 = 0 ⇒ x = 9

x + 2 = 0 ⇒ x = - 2

The distance between the solutions is

| 9 - (- 2) | = | 11  = 11 units

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decrease of 38% (to nearest percent)

Step-by-step explanation:

Percent change = [ (difference between final and initial value) ÷ initial value] x 100

⇒ percent change = [(2100 - 1300) ÷ 2100] × 100 = 38% (to nearest percent)

6 0
2 years ago
What is -a-5/4(-8/3a+1)
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2 years ago
10<br> Using the quadratic formula to solve x2 = 5 – X, what are the values of x?
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x^2 = 5 - x

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6 0
3 years ago
Help me pleasee (10 points)
Montano1993 [528]

Answer:

B

Step-by-step explanation:

Givens

a^2 + b^2 = c^2

a = 4x

b = x + 2

c = 3x + 4

Solution

(4x)^2 + (x + 2)^2 = (3x + 4)^3                  Remove all the brackets.

16x^2 + x^2 + 4x + 4 = 9x^2 + 24x + 16  Collect like terms on the left

17x^2 + 4x + 4 = 9x^2 + 24x + 16            Subtract the terms on the right

8x^2 - 20x - 12 = 0

This factors into

(4x - 12)(2x + 1)

There are 2 answers

4x - 12 = 0

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or

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So the only answer is x = 3

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2 years ago
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