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3 years ago

The coordinates below represent two linear equations. How many solutions does this system of equations have?

1 answer:

3 0

Use the points to find the equations of both your lines.
By using the formula for finding slope where: m = (y2-y1) / (x2-x1)
Your first equation is y = -2x+4
Your second equation is y = -2x+7
Normally you want to set these equal to each other and see where they are equal... however, as you can clearly see, these two equations are parallel. Parallel equations don't intersect, which would mean your answer is A, no solutions.

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Simplify the expression c^-6 * d^4/ c^-16 * d^14

Naily [24]

Answer:

$\dfrac{c^{10}}{d^{10}}$

Step-by-step explanation:

Although the way you wrote problem, this is not what it looks like, I think this is what you meant.

$\dfrac{c^{-6} \times d^{4}}{c^{-16} \times d^{14}} =$

$= \dfrac{c^{-6}}{c^{-16}} \times \dfrac{d^{4}}{d^{14}}$

$= c^{-6 - (-16)} \times d^{4 - 14}$

$= c^{-6 + 16} \times d^{-10}$

$= c^{10} \times d^{-10}$

$= \dfrac{c^{10}}{d^{10}}$

7 0

3 years ago

Chandler and Alexandra go shopping with an equal amount of money. Chandler buys 4 shirts and has

DedPeter [7]

Answer:

7.5

Step-by-step explanation:

4x+5=2x+20

7 0

4 years ago

A sports writer wished to see if a football filled with helium travels farther, on average, than a football filled with air. To

Vesnalui [34]

Answer:

(-3.07, 11.07)

Step-by-step explanation:

Given that a sports writer wished to see if a football filled with helium travels farther, on average, than a football filled with air. To test this, the writer used eighteen adult male volunteers. These volunteers were randomly divided into two groups of nine subjects each.

Group Group One Group Two

Mean 300.00 296.00

SD 8.00 6.00

SEM 2.67 2.00

N 9 9

The mean of Group One minus Group Two equals 4.00

standard error of difference = 3.333

df = 16

t = 1.2000

Margin of error = 3.3333* t critical = 3.3333*2.121

95% confidence interval of this difference: From -3.07 to 11.07

7 0

3 years ago

The surface area of a triangular pyramid is 2304 cm2. If all the faces of the pyramid are congruent, what is the area of one fac

siniylev [52]

Okay! So to start this problem, we need to look at the given information a little closer to make sure we have everything we need! This is a triangular pyramid, meaning that it has a total of 4 sides, which are all congruent triangles, meaning they all have the same surface area! We are also given the total surface area, which is 2304 cm^2.

If we need to find out how big one of the sides are, we should just have to divide the total surface area by 4, because there are 4 sides with the same surface area! 2304/4 = 576 cm^2, so your answer should be A) 576 cm2!

8 0

4 years ago

To solve 5/7 - 2/n = 1/21

Lesechka [4]

Answer:

the answer is N=3

Step-by-step explanation:

hope this helps

7 0

3 years ago