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4 years ago

If AB = 2x+7 and BC = 5x-4 and B is the midpoint of AC, what is the length of AC?

Mathematics

1 answer:

77julia77 [94]4 years ago

6 0

so what you want to do is

5-2=3x =3 7+(-4)=3

3/3=0

so the length of AC would be zero

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Slope-intercept form of the equation for the line?

vaieri [72.5K]

Answer:

$\large\boxed{y=-\dfrac{3}{10}x+\dfrac{1}{2}}$

Step-by-step explanation:

The slope-intercept form of an equation of a line:

$y=mx+b$

m - slope

b - y-intercept

The formula of a slope:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

We have the points from the graph (-5, 2) and (5, -1).

Substitute:

$m=\dfrac{-1-2}{5-(-5)}=\dfrac{-3}{10}=-\dfrac{3}{10}$

We have the equation in form:

$y=-\dfrac{3}{10}x+b$

Put the coordinates of the point (5, -1) to the equation:

$-1=-\dfrac{3}{10}(5)+b$

$-1=-\dfrac{3}{2}+b$

$-\dfrac{2}{2}=-\dfrac{3}{2}+b$ <em>add 3/2 to both sides</em>

$\dfrac{1}{2}=b\to b=\dfrac{1}{2}$

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3 years ago

Which is equivalent to (10)^(3/4)x?

ivann1987 [24]

Answer:

Option B is correct.

Step-by-step explanation:

$10^{(3/4)x}$

We need to write the above equation in square root form.

We know that 1/4 = $\sqrt[4]{x}$

So, $10^{(3/4)x}$ can be written as:

$(\sqrt[4]{10})^{3x}$

Option B is correct.

8 0

4 years ago

Read 2 more answers

Find two consecutive whole numbers that √45 falls between.

Hoochie [10]

It would fall between 6 and 7.

7 0

3 years ago

There is 7 5/9 wood and people took 3 2/15 pieces. How many more pieces are there

GalinKa [24]

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5 0

3 years ago

Minute Maid states that a bottle of juice contains 473 mL. Consumer groups are interested in determining if the bottles contain

olga2289 [7]

Answer:

Option C) The average contents of all bottles of juice in the population, which is 473 mL

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 473 mL

Sample mean, $\bar{x}$ = 472 mL

Sample size, n = 30

Sample standard deviation, σ = 0.2

First, we design the null and the alternate hypothesis

$H_{0}: \mu = 473\text{ mL}\\H_A: \mu < 473\text{ mLinches}$

Representation of $\mu$

$\mu$ is the population parameter that represents the population mean.

Thus, for the given situation $\mu$ represents:

Option C) The average contents of all bottles of juice in the population, which is 473 mL

6 0

3 years ago