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Molodets [167]
3 years ago
14

Simplify to create an equivalent expression. \qquad{8-4(-x+5)}8−4(−x+5)

Mathematics
1 answer:
Mumz [18]3 years ago
8 0

\text{Simplify expression:}\\\\8-4(-x+5)\\\\\text{Use the distributive property}\\\\8+4x-20\\\\\text{Combine like terms}\\\\\boxed{4x-12}

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Solve the quadratic equation by completing the square.<br><br> 2x² - 20x + 48 = 0
rosijanka [135]
<h2>Steps</h2>

So firstly, we need to isolate the x terms onto one side. To do this, subtract 48 on both sides of the equation:

2x^2-20x=-48

Next, divide both sides by 2:

x^2-10x=-24

Next, we are gonna make the left side of the equation a perfect square. To find the constant of this soon-to-be perfect square, divide the x coefficient by 2 and then square the quotient. Add the result onto both sides of the equation:

-10 \div 2=-5\\(-5)^2=25\\\\x^2-10x+25=1

Now, factor the left side:

(x-5)^2=1

Next, square root both sides of the equation:

x-5=\pm 1

Next, add 5 to both sides of the equation:

x=5\pm 1

Lastly, solve the left side twice -- once with the plus sign and once with the minus sign.

x=6,4

<h2>Answer</h2>

<u>In short, x = 6 and 4</u>

6 0
3 years ago
Read 2 more answers
For questions 2 and 3 plot the points in the coordinate plane. Then determine whether AB and CD are congruent. Explain your answ
max2010maxim [7]

Answer:

  2. congruent

  3. congruent

Step-by-step explanation:

Segments will be congruent if their lengths are the same. Their lengths will be the same if the sum of squares of the x- and y-differences of their endpoint coordinates are the same.

2. B-A = (-4-(-4), 8-1) = (0, 7)

  D-C = (5-(-2), -5-(-5)) = (7, 0)

The total of 0² and 7² is the same as the total of 7² and 0², so these segments are congruent. (They are both of length 7.)

__

3. B-A = (2-4, 6-1) = (-2, 5)

  D-C = (-4-(-2), -3-2) = (-2, -5)

The sum of (-2)² and 5² is the same as the sum of (-2)² and (-5)², so these segments are congruent. (They both are of length √29.)

6 0
4 years ago
There are 15 boys and 18 girls in a class. 40% of the boys and 1 /6 of the girls play basketball. How many students play basketb
finlep [7]

Answer:

9

Step-by-step explanation:

40% of 15 = 6.

1/6 of 18 = 3.

6 + 3 = 9.

5 0
3 years ago
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Solve for x.<br> 2/x = 6/2
irakobra [83]
The answer is x=2/3!! Hope this helped
8 0
3 years ago
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On the fastest speedways, some drivers reach average speed of 3 miles per minute. Write a formula that gives the number of miles
kondor19780726 [428]
<span>The formula is M = 3x
The distance is 3(33) = 99 mi.</span>
7 0
3 years ago
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