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alekssr [168]
3 years ago
14

Solve for x. Leave your answer in the simplest radical form.

Mathematics
1 answer:
MaRussiya [10]3 years ago
7 0

Answer:

x = 2\sqrt{5}

Step-by-step explanation:

'x' can represent the hypotenuse of a right triangle with a base of 4 (11-7) and a height of 2

use Pythagorean Theorem to find 'x':

2² + 4² = x²

4 + 16 = x²

x² = 20

x = \sqrt{20}

x = \sqrt{4}·\sqrt{5}

x = 2\sqrt{5}

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Write the slope intercept form of the line passing through (-1,5) with y-intercept -4.
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Answer:

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Step-by-step explanation:

Slope-intercept form of a line is the equation:  y = mx + b

where m is the slope and b is the y-intercept

Step 1:  Find the slope

Label the points that are given.  

(-1,5) = (x1, y1)

(0, 4) = (x2, y2)      (this is what they told us the y-intercept is)

The formula for slope is:   m = (y2 - y1)/(x2 - x1)

The slope for this problem is

m = (4 - 5)/(0 - (-1))  

m = -1/1 = -1

We now have m and b, so our equation is:  y = -x + 4

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Step-by-step explanation:

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