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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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Kristin spent $131 on shirts. Fancy shirts cost $28 and plain shirts cost $15. If she bought a total of 7 shirts, then how many
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Answer:

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I need help with this
Llana [10]

Answer:

? = 4 units

Step-by-step explanation:

'2'  is to  ' 7+2 '     as  ?   is to   '14 + ? '

2/ 9 = ? / (14 + ?)      cross mutiply

28 + 2? = 9?

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4 0
2 years ago
Write the equation of a line in slope-intercept form parallel to the line y = -2x + 7 and contains (-1, 3).
JulsSmile [24]

Answer:

The answer is

<h2>y = - 2x + 1</h2>

Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

To find the equation of the parallel line we must first find the slope of the original line

From the question the original line is

y = - 2x + 7

Comparing with the general equation above

Slope = - 2

Since the lines are parallel their slope are also the same

Slope of parallel line = - 2

The equation of the line using point (-1, 3) and slope - 2 is

y - 3  =  - 2(x + 1) \\ y - 3 =  - 2x - 2 \\ y =  - 2x - 2 + 3

We have the final answer as

y =  - 2x + 1 \\

Hope this helps you

7 0
3 years ago
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sveticcg [70]
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4 years ago
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