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3 years ago

What is the answer to 4x²+7=31

Mathematics

1 answer:

Shtirlitz [24]3 years ago

3 0

Answer: x2= 6

FYI: The x2 is x squared

Step-by-step explanation:

Simplifying

4x2 + 7 = 31

Reorder the terms:

7 + 4x2 = 31

Solving

7 + 4x2 = 31

Solving for variable 'x'.

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

Add '-7' to each side of the equation.

7 + -7 + 4x2 = 31 + -7

Combine like terms: 7 + -7 = 0

0 + 4x2 = 31 + -7

4x2 = 31 + -7

Combine like terms: 31 + -7 = 24

4x2 = 24

Divide each side by '4'.

x2 = 6

Simplifying

x2 = 6

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Step-by-step explanation:

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3 years ago

Help pls!!!how to solve it

Mariana [72]

Answer:

q = 5/6

Step-by-step explanation:

First, we distribute.

16q - 10 = 4q

Then, we combine like terms.

-10 = 4q - 16q

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Finally, we divide -12 on both sides.

5/6 = q, or q = 5/6

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4 years ago

100 POINTS!!! REPOST!!! NEED HELP!!! NO SPAMMING!!! <br><br>(Refer to the attached image)

telo118 [61]

<h3>Answer: 133 cm</h3>

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Explanation:

I'm going to relabel the figure as triangle ABC.

As the instructions mention, we'll use the law of cosines to find the missing side.

side a = 147
side b = 166
angle C = 50 degrees

Use these facts to find side c

c^2 = a^2 + b^2 - 2*a*b*cos(C)

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6 0

2 years ago

Does anyone know how to solve this math equation?

garik1379 [7]

Answer:

x = 8; y = -6

Step-by-step explanation:

We have a system of equations.

$\dfrac{3(x - 2)}{2} - \dfrac{y - 2}{4} = 11$

$\dfrac{2(x + 2)}{5} - \dfrac{y}{3} = 6$

First, let's multiply both sides of each equation by the LCM of both denominators of that equation to eliminate all denominators.

First equation:

$8 \times \dfrac{3(x - 2)}{2} - 8 \times \dfrac{y - 2}{4} = 8 \times 11$

$12(x - 2) - 2(y - 2) = 88$

$12x - 24 - 2y + 4 = 88$

$12x - 2y = 108$

$6x - y = 54$

The equation above is the simplified first equation.

Second equation:

$\dfrac{2(x + 2)}{5} - \dfrac{y}{3} = 6$

$15 \times \dfrac{2(x + 2)}{5} - 15 \times \dfrac{y}{3} = 15 \times 6$

$6(x + 2) - 5y = 90$

$6x + 12 - 5y = 90$

$6x - 5y = 78$

The equation above is the simplified second equation.

The simplified system of equations is:

$6x - y = 54$

$6x - 5y = 78$

The x term of both equations is 6x. If we multiply both sides of the second equation by -1 to get a first term of -6x, then when it is added to 6x, the x terms are eliminated.

Now we rewrite the first simplified equation as it is. Below it, we write the second equation multiplied by -1 on both sides. Then we add the equations.

$6x - y = 54$

$-6x + 5y = -78$