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4 years ago

Which statement describes the sequence −9, −3, 3, 9, 15?

Mathematics

2 answers:

Arada [10]4 years ago

6 0

C. An arithmetic sequence with common difference 6

Natasha_Volkova [10]4 years ago

3 0

Answer:

C. An arithmetic sequence with a common difference of 6.

Step-by-step explanation:

A is incorrect because the common difference is not -9 (not constant).

B is incorrect because the common difference is not 3 (not constant).

C is the correct answer because the common difference is 6 (constant).

D is incorrect because this is an arithmetic sequence.

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-9 + 6 = -3

-3 + 6 = 3

3 + 6 = 9

9 + 6 = 15

The common difference is +6 (positive 6).

Hope that helps!

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If m is the midpoint of segment JK, JM equals 7x minus 32, and MK equals 89 minus 4x, what is MK?

KonstantinChe [14]

Step-by-step explanation:

Imagine this segment, given that m is the midpoint of segment JK...

J________M________K

JM = 7x-32 MK = 89 - 4x (given)

If m is the midpoint, then JM and MK are the same lengths (equal to each other). We can use that to first find what <em>x</em> is.

$7x -32 = 89 - 4x\\$

Steps to find x (we have to get x by itself):

$7x - 32 + 4x = 89 - 4x +4x$

$11x -32 = 89$

$11x -32 +32 = 89 +32$

$11x = 121$

$\frac{11x}{11} = \frac{121}{11}$

$x=11$ (we haven't found the answer yet! we only found x)

Now that we found x, we can find segment MK. Now we know that:

$MK = 89 - 4x$

$x= 11$

Let's plug x into the equation:

$MK = 89 - 4(11)\\MK = 89- (44)\\MK = 45$

Answer: $MK= 45$

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3 years ago

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Aleksandr [31]

Answer:

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Step-by-step explanation:

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3 years ago

A line passes through the point (-4,6) and has a slope of -5. Write an equation in point-slope form for this line.

Art [367]

Answer:

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3 years ago

Picture is shown above<br>suppose that y varies directly with x, and y=12 when x=15

a_sh-v [17]

Step-by-step explanation:

Since y is directly proportional to x,

we have y = kx, where k is a real constant.

When x = 15, y = 12.

=> (12) = k(15), k = 0.8.

Therefore we have y = 0.8x.

When x = 2, y = 0.8(2) = 1.6.

The answer is y = 1.6 when x = 2.

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3 years ago

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6p + 4 / 7 + 5p - 6 / 2 - 3p / 4 when p = 4

vesna_86 [32]

Step-by-step explanation:

Given p = 4,

substitute p= 4 into the expression

6p+4/7+5p-6/2-3p/4

$6(4) + \frac{4}{7} + 5(4) - \frac{6}{2} - \frac{3(4)}{4} \\ = 24 + \frac{4}{7} + 20 - 3 - 3 \\ = 44 + \frac{4}{7} - 3 - 3 \\ = 38 + \frac{4}{7} \\ = 38 \frac{4}{7}$

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3 years ago