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zmey [24]
3 years ago
15

Solve for x in the equation: 2x + 17 = -3 A. -10 B. 10 C. -7 D. 7

Mathematics
2 answers:
Tanzania [10]3 years ago
8 0

Answer: x = -10

Solving for variable x

Move all terms containing x to the left, all other terms to the right

<u>Add -17 to each side of the equation</u>

<u></u>17 + -17 + 2x = -3 + -17<u></u>

<u></u>

<u>Combine like terms: 17 + -17 = 0 </u>

<u></u>0 + 2x = -3 + -17\\2x = -3 + -17<u></u>

<u></u>

<u>Combine like terms: -3 + -17 = -20</u>

<u></u>2x = -20<u></u>

<u></u>

<u>Divide each side by 2</u>

<u></u>2x/2=-20/2\\x=-10<u></u>

Gre4nikov [31]3 years ago
7 0

Answer:

It would be A.

Step-by-step explanation:

You want to get rid of the plus 17 on the left side of the equation, so because it is attached to 2x by addition you have to subtract it and do the opposite.

2x + 17 = -3

<u>      -17     -17</u>

       2x = -20

-3 - 17 is equal to -20, so you are left with 2x = -20. Then because 2 is attached to x by multiplication, you have to divide 2 on both sides to get x. -20 divided by 2 is -10, so the answer is A.

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-3*b = -3b

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-3b + 21

Answer:  -3b + 21

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3 years ago
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3 years ago
1. What are foci? 2. What is the first step to take to write the equation of a hyperbola? 3. How do you represent parts of a hyp
Andrei [34K]

Answer:  see below

<u>Step-by-step explanation:</u>

1) Foci is plural for Focus.  Since a hyperbola has two focus points, they are referred to as foci.  The foci is where the sum of the distances from any point on the curve to the foci is constant.

2) When determining the equation of a hyperbola you need the following:

    a)  does the hyperbola open up or to the right?

    b)  what is the center (h, k) of the hyperbola?

    c)  What is the slope of the asymptotes of the hyperbola?

3) The equation of a hyperbola is:

\dfrac{(x-h)^2}{a^2}-\dfrac{(y-k)^2}{b^2}=1\qquad or\qquad \dfrac{(y-k)^2}{b^2}-\dfrac{(x-h)^2}{a^2}=1

  • (h, k) is the center of the hyperbola
  • ± b/a is the slope of the line of the asymptotes
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5 0
3 years ago
Can someone help me please
Llana [10]

Answer:

8: 50 hours

9: 6 inches

10: 43 cm

Step-by-step explanation:

I couldn't see the entirety of 7 because some of the page was folded, so I didn't answer it.

8: Make them equations of y=12x+450 and y=21x. Since both equal y, set them equal to each other so 21x=12x+450. Subtract 12x from both sides to get 9x=450. Divide by 9 on both sides to get 50.

9: The length equals 3w-6 and the width is just w. The perimeter would equal 2w+2(3w-6) which when factored is 2w+6w-12. Simplify to 8w-12. If P=8w-12 and we know P=36, then set the two equations equal to each other so that 8w-12=36. Add 12 to both sides to get 8w=48. Then divide both sides by 8 to get a final answer of w=6.

10. P=x+5x+8+4x-7. Simplify that to P=10x+1. We know that P=71, so set the two equations equal to each other to get 71=10x+1. Subtract 1 from both sides to get 70=10x. Divide both sides by 10 and x=7. Now substitute x in each side of the triangle and we get 7, (4*7-7), and (5*7+8). Solve all of those to get sides of 7, 21, and 43. The question asks what is the length of the longest side, so the answer would be 43.

5 0
4 years ago
Correct the error a student made when solving the equation 4=-2(x-3). What is the correct solution?​
Murrr4er [49]
In the first step when the student did -2x-3 they didn’t make the sign positive. It should be 4=-2+6, not 4=-2-6
8 0
3 years ago
Read 2 more answers
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