8m - 5n + 2m + 6n =Simplifying 8m + -5n + 2m + 6n = 0 Reorder the terms: 8m + 2m + -5n + 6n = 0 Combine like terms: 8m + 2m = 10m 10m + -5n + 6n = 0 Combine like terms: -5n + 6n = 1n 10m + 1n = 0 Solving 10m + 1n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-1n' to each side of the equation. 10m + 1n + -1n = 0 + -1n Combine like terms: 1n + -1n = 0 10m + 0 = 0 + -1n 10m = 0 + -1n Remove the zero: 10m = -1n Divide each side by '10'. m = -0.1n Simplifying m = -0.1n.

6 0

3 years ago

Which of the following measurements is greater?<br><br> 150 quarts<br> 200 pints

vredina [299]

A quart contains 2 pints, so 150 pints is equal to 300 quarts. Therefore 150 quarts is bigger

4 0

4 years ago

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PLS HELP I WILL MARK YOU BRAINLIEST!!!! The table represents some points on the graph of an exponential function.

Usimov [2.4K]

<h3>Answer: Choice B</h3><h3>f(x) = 18(6/5)^x</h3>

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Explanation:

When x = 0, we have y = 18. The y intercept value is 18. This is the initial value, and it's the value of 'a' in the equation below

y = a*b^x

The value of b is tied to the growth or decay rate, depending on if b > 1 or if 0 < b < 1 respectively.

In this case, we have growth due to y increasing as x increases. They increase together.

When x increases by 1 like this, the value of b can be determined by dividing any y term over its previous value. So for instance, we can say b = 21.6/18 = 1.2 or we could say b = 25.92/21.6 = 1.2

Then note how 1.2 = 6/5, which means b = 6/5

Therefore, y = a*b^x becomes y = 18(6/5)^x

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We can confirm this equation by plugging in x values from the table and we should get the y values, or f(x) values, listed

Example: plug in x = 0 to find that

y = 18(6/5)^x

y = 18(6/5)^0

y = 18(1)

y = 18 which matches

Then try x = 1

y = 18(6/5)^x

y = 18(6/5)^1

y = 18(1.2)

y = 21.6 that also matches

I'll let you confirm the other x values.

4 0

3 years ago

Figure ABCD is graphed on a coordinate plane.

Phoenix [80]

1. BC is 1+3=4 (units)

2. AD is 3+5= 8 (units)

3. Draw the altitude CH from point C, as shown in the figure.

4. Then triangle CHD is a right triangle, with hypothenuse CD, and sides HD and CH.

5. $CD^2=HD^2+CH^2$

$CD^2=2^2+4^2=4+16=20$

$CD= \sqrt{20}= \sqrt{4*5}= \sqrt{4} * \sqrt{5}=2 \sqrt{5}= 4.47$

6. AB=CD=4.47 because the trapezoid is isosceles.

7. P= BC+AD+AB+CD=4+8+4.47+4.47=20.9 (units)

3 0

4 years ago

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