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2 years ago

X-2(x+10)=12 need work shown

Mathematics

1 answer:

Eva8 [605]2 years ago

5 0

Answer:

x=-32

Step-by-step explanation:

expand -2(x+10): -2x-20

x-2x -20=12

add similar elements: x-2x=-x

x-20=12

add 20 to both sides

-x-20+20=12+20

simplify

-x=32

divide both sides by -1

x=-32

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8. Solve the system using elimination. 3x - 4y = 9 - 3x + 2y = 9

olga nikolaevna [1]

Answer:

3x−4y=9 −3x+2y=9

Add these equations to eliminate x: −2y=18

Then solve−2y=18

for y: −2y=18 −2y −2 = 18 −2 (Divide both sides by -2)

y=−9

Now that we've found y let's plug it back in to solve for x.

Write down an original equation: 3x−4y=9

Substitute−9for y in 3x−4y=9: 3x−(4)(−9)=9

3x+36=9(Simplify both sides of the equation)

3x+36+−36=9+−36(Add -36 to both sides)

3x=−27 3x 3 = −27 3 (Divide both sides by 3) x=−9

Answer: x=−9 and y=−9

Hope This Helps!!!

4 0

2 years ago

If DF=7x-3 and EG=5x+9, find the value of X

PilotLPTM [1.2K]

Answer:

$x=6$

Step-by-step explanation:

Using the given measurements of the angles and the lengths of the sides, we can determine that this figure must be a rectangle.

Diagonals of a rectangle are always equivalent/congruent.

We can use this information to set up an equation:

$DF=EG\\7x-3=5x+9$

Add 3 to both sides:

$7x-3+3=5x+9+3\\7x=5x+12$

Subtract 5x from both sides:

$7x-5x=5x-5x+12\\2x=12$

Divide both sides by 2

$\frac{2x}{2}=\frac{12}{2}\\x=6$

3 0

2 years ago

Please help with this question

stiks02 [169]

Answer:

I don't know

Step-by-step explanation:

7 0

2 years ago

Where does Pythagorean identities and also how it relates to the right triangles

Ostrovityanka [42]

Answer:

A pythagorean identity means that for any angle $\theta$ , $sin^2\theta+cos^2\theta=1$ .

This also means $1+tan^2\theta=sec^2\theta \mbox{ and } 1+cot^2\theta=csc^2\theta.$ The symbol, theta ( $\theta$ ) represents one of the acute angles in the right triangle. The hypotenuse (familiarly c in the regular pythagorean theorem) is 1. The triangle base is $cos\theta$ , and the height (side perpendicular to the base, making a right angle) is $sin\theta$ . The angle theta is opposite the $sin\theta$ side.

Step-by-step explanation:

The pythagorean theorem applies to right triangles, which always have a 90 degree angle. Pythagorean identities are used to simplify trigonometric expressions/evaluate trig functions and to find the trig ratios in a right triangle.

5 0

2 years ago

Read 2 more answers

In an effort to estimate the mean of amount spent per customer for dinner at a major Lawrence restaurant, data were collected fo

larisa86 [58]

Answer:

The 99% confidence interval for the population mean is 22.96 to 26.64

Step-by-step explanation:

Consider the provided information,

A sample of 49 customers. Assume a population standard deviation of $5. If the sample mean is $24.80,

The confidence interval if 99%.

Thus, 1-α=0.99

α=0.01

Now we need to determine $z_{\frac{\alpha}{2}}=z_{0.005}$

Now by using z score table we find that $z_{\frac{\alpha}{2}}=2.58$

The boundaries of the confidence interval are:

$\mu-z_{\frac{\alpha}{2}}\times \frac{\sigma}{\sqrt{n} }\\24.80-2.58\times \frac{5}{\sqrt{49}}=22.96\\\mu+z_{\frac{\alpha}{2}}\times \frac{\sigma}{\sqrt{n} }\\24.80+2.58\times \frac{5}{\sqrt{49}}=26.64$

Hence, the 99% confidence interval for the population mean is 22.96 to 26.64

3 0

3 years ago