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natka813 [3]
3 years ago
12

Drag a statement or reason to each box to complete this proof. If −3(x+8)=−21, then x=−1.

Mathematics
2 answers:
Mamont248 [21]3 years ago
8 0

Answer:

See below.

Step-by-step explanation:

We can solve for x:

−3(x+8) = −21

Distribute the -3 over the parentheses:

-3x - 24 = -21

Add 24 to both sides:

-3x -24 + 24 = -21 + 24

-3x = 3

Divide both sides by -3:

x = -1.

So that proves the original equation.

Zigmanuir [339]3 years ago
4 0

Answer:

Yes, this is true.

Step-by-step explanation:

If you substitue x for -1 you get -3(-1+8)=-21, Then you add -1 and 8 so you should get 7. After, you multiply 7 times -3 you get -21. Proving this statement is correct.

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A triangle has sides with lengths of 64 kilometers, 80 kilometers, and 51 kilometers. Is it a right triangle?
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3 years ago
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What is the solución of the equation x2-4x+1=0?
koban [17]

Answer:

x = 2 + √3 and

x = 2 - √3

Step-by-step explanation:

Please use " ^ " to denote exponentiation:  x^2 - 4x + 1 = 0.

Here you have multiple choices of methods of solution:

quadratic formula, completing the square, graphing, and so on.

If we complete the square, then:                   x^2 - 4x + 1 = 0 becomes

                                                                       x^2 - 4x + 4 - 4 + 1 = 0, or

(x - 2)^2 = 3

Taking the square root of both sides, we get x - 2 = ±√3, so that the roots are:

x = 2 + √3 and

x = 2 - √3

6 0
3 years ago
When asked to factor the trinomial x^2-16x+64, a student gives the answer (x – 8)(x + 8). Which of the following statements is t
Murrr4er [49]

Answer:

The answer is incorrect; the plus sign should be a minus sign (apex)

Step-by-step explanation:

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3 years ago
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Which of the following equations are linear or nonlinear?
gavmur [86]

Answer:

1. Linear

2. Nonlinear

3. Linear

4. Linear

5. Nonlinear

Step-by-step explanation:

Thies equation are in the form y=mx+b. Where m is the slope and b is the y-intercept. To solve them you neeed to see the power x is taken to. If the power on x is bigger than 1 than one, then it will curve at some point. This makes 2 and 5 nonlinear

4 0
2 years ago
Solve for x:<br> 1 1/5x−2 1/3&lt;1/7x+1 1/2
Mashcka [7]

Answer: x

Step-by-step explanation:

1\frac{1}{5}x-2\frac{1}{3}

Add 2\frac{1}{3} on both sides and subtract \frac{1}{7}x on both sides to leave x's on the left side and independent values on the right.

(2\frac{1}{3}-\frac{1}{7}x) +1\frac{1}{5}x-2\frac{1}{3}

1\frac{1}{5}x-\frac{1}{7}x

Solve the fractions.

1(\frac{1}{5}-\frac{1}{7})x

1(\frac{(1)(7)-(5)(1)}{(5)(7)} )x

1(\frac{7-5}{35} )x

1(\frac{2}{35} )x

1\frac{2}{35}x

Convert the mixed fraction 1\frac{2}{35} to an improper fraction. You can do this by multiplying 1 times 35 and adding 2.

\frac{37}{35}x

Now use the reciprocal (inverse fraction) and multiply on both sides to isolate x.

(\frac{35}{37}) (\frac{37}{35})x

x

x

x

5 0
3 years ago
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