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3 years ago

Which of the following illustrates how to find the difference of 4h^5k and -7hk^5

Mathematics

1 answer:

MrRa [10]3 years ago

7 0

Answer:

Not possible

Step-by-step explanation:

Which of the following illustrates how to find the difference of 4h^5k and -7hk^5

Takig the difference

4h^5k - (-7hk^5)

= 4h^5k +7hk^5

Collect the like terms

= hk(4h^4+7k^5)

Hence the difference is not possible

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Match each pair of points to the equation of the line that is parallel to the line passing through the points.

Luba_88 [7]

Answer:

$B(5,2) \:\: C(7,-5) \:\: \rightarrow y=-3.5x-15$

$D(11,6)\:\: E(5,9)\:\: \rightarrow y=-0.5x-3$

$H(4,4)\:\: I(8,9) \:\: \rightarrow y=1.25x+4$

$L(5,-7)\:\: M(4,-12)\:\: \rightarrow y=5x+9$

Step-by-step explanation:

We need to match the slope of the function with the slope of the lines connecting the two points given. The slope of the lines are as follows:

$B(5,2) \:\: C(7,-5)=\frac{2--5}{5-7} =-3.5$

$D(11,6)\:\: E(5,9)=\frac{6-9}{11-5} =-0.5$

$H(4,4)\:\: I(8,9)=\frac{4-9}{4-8} =1.25$

$L(5,-7)\:\: M(4,-12)=\frac{-7--12}{5-4} =5$

$F(-7,12)\:\: G(3,-8)=\frac{12--8}{-7-3}=-2$

$J(7,2)\:\:K(-9,8) =\frac{2-8}{7--9} =-0.375$

Now,

the slope of the line BC matches with the slope of y=-3.5x-15.

the slope of the line DE matches with the slope of y=-0.5x-3.

the slope of the line HI matches with the slope of y=1.25x+4.

the slope of the line LM matches with the slope of y=5x+9.

and the slopes of the lines FG and JK do not match with any of the functions given.

Thus,

$B(5,2) \:\: C(7,-5) \:\: \rightarrow y=-3.5x-15$

$D(11,6)\:\: E(5,9)\:\: \rightarrow y=-0.5x-3$

$H(4,4)\:\: I(8,9) \:\: \rightarrow y=1.25x+4$

$L(5,-7)\:\: M(4,-12)\:\: \rightarrow y=5x+9$

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3 years ago

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What are the x and y intercepts of the line?? 5x-2y=-20

uysha [10]

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y=(0,9)
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A certificate of deposit has an annual simple interest rate of 5.25%. If $567 in interest is earned over a 6 year period, how mu

Scrat [10]

Find the the amount of interest per year. Since $567 were earned over 6 years, you divide the interest earned by the number of years it took to accumulate it:

$567/6 years = $94.5/year

Divide that by the interest rate which the interest rate needs to be in decimal form:

$94.5/.0525 = $1800

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4 years ago

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ozzi

Answer:

1) $\frac{6+\sqrt{6} }{2}$ 2) $-3 + \sqrt{12}$

Step-by-step explanation:

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Is (1, 6) a solution to this system of equations? 5x + 2y = 17 x + 3y = 19 yes no

Ulleksa [173]

Answer:
Yes

Explanation:
5x + 2y = 17

We are given the values (1, 6)

Substitute then into the equation

(I put a question mark to basically ask the question “is 5(1) + 2(6) equal to 17?”)

5(1) + 2(6) = 17?
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Yes!

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3 years ago

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