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egoroff_w [7]
3 years ago
10

ASAP!!!! 10 POINTS!!!!

Mathematics
1 answer:
S_A_V [24]3 years ago
3 0

Completing the Square

2. Solve the equation by completing the square. Show your work.

x^2 – 30x = –125

Step 1: Add to both sides of the equation. (2 points)

Add 225 both sides of the equation

x^2 – 30x + 225 = –125 + 225

x^2 - 30x + 225 = 100

Step 2: Factor the left side of the equation. Show your work. (2 points)

Hint: It is a perfect square trinomial.


x^2 - 30x + 225 = 100


Factor the left side of the equation:

(x - 15)^2 = 100

Step 3: Take the square root of both sides of the equation from Step 2. (1 point)

√(x - 15)^2 = √100


Step 4: Simplify the radical and solve for x. Show your work. (1 point)

x - 15 = + - 10


x - 15 = 10

x = 25


x - 15 = -10

x = 5


Solutions x = 25, 5

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Answer:

6

Step-by-step explanation:

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How do I find the difference in the simplest form?
GrogVix [38]

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2

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One side of a rectangle is 3 times the length of another side. The difference in their lengths is 10 feet
elena55 [62]

Answer:

5 feet & 15 feet

Step-by-step explanation:

<em>The question is to find the lengths of 2 sides of the rectangle</em>.

<u>Solution:</u>

Let shorter side be "x"

Let longer side be "y"

From the question, we can write:

y = 3x

also

y - x = 10

Now, putting the first on second equation, we get:

y - x = 10

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2x = 10

x = 10/2 = 5

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4 0
3 years ago
Find the degree measure of 15.26 rad
kakasveta [241]

Answer:   " 874.33 °  " .

___________________________________

Step-by-step explanation:

15.26 rad * ( 180 degree / \pi  rad )  ;

          =  [ (15.26 * 180) / \pi ]  degrees ;

          =  [ ( 2746.8 ) / \pi  ] degrees.

          =  [ ( 2746.8) / 3.14) ]  degrees  ;

          =  874.3336 degrees;

          →  round to:  " 874.33 degrees ."

____________________________________

3 0
3 years ago
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-6 ÷ y  or \frac{-6}{y}
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3 years ago
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