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kvasek [131]
3 years ago
5

The first term of a geometric sequence is –2 and the common ratio is -1/-4. What are the next three terms of the sequence?

Mathematics
2 answers:
Wittaler [7]3 years ago
7 0

Answer:

B. 1/2, -1/8, 1/32

Step-by-step explanation:

Took the test on Ed. Hang in there, you're almost through!

masha68 [24]3 years ago
5 0
-2 * 1/4 = -1/2
-1/2 * 1/4 = -1/8
-1/8*8 1/4 = -1/32

Correct choice is the first one.
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Find the equation of the line through ( - 10, - 8) that is perpendicular to the line through (10,6), (5,5).
Furkat [3]

Answer:

y=-5x-58

Step-by-step explanation:

The equation of a line in slope-intercept form is y=mx+b where m is the slope and b is the y-intercept.

Perpendicular lines have opposite reciprocal slopes.

Anyways we need to find the slope of the line going through (10,6) and (5,5).

To find the slope, we are going to line up the points vertically and subtract vertically, then put 2nd difference over 1st difference. Like so:

 (  10   ,   6)

- (   5   ,   5)

------------------

    5         1

So the slope of the line through (10,6) and (5,5) is 1/5.

The slope of a line that is perpendicular will be the opposite reciprocal of 1/5.

The opposite reciprocal of 1/5 is -5.

The line we are looking for is y=-5x+b where we need to find the y-intercept b.

y=-5x+b goes through (-10,-8)

So we can use (x,y)=(-10,-8) to find b in y=-5x+b.

y=-5x+b with (x,y)=(-10,-8)

-8=-5(-10)+b

-8=50+b

Subtract 50 on both sides:

-8-50=b

-58=b

So the equation is y=-5x-58

4 0
3 years ago
Calculate the volume of the triangular pyramid below.
eduard

Answer:

90

Step-by-step explanation:

1/2x10x3.6=18

18x5=90

8 0
2 years ago
At the start of the week a bookshop had science and art books in the ratio 2:5. By the end of the week, 20% of each type of book
Anastaziya [24]
Let there be 2x science and 5x art books 
<span>science books sold = 2x × 0.2 = 0.4x </span>
<span>science books unsold = 2x – 0.4x = 1.6x </span>

<span>art books sold = 5x × 0.2 = x </span>
<span>art books unsold = 5x – x = 4x </span>

<span>total books unsold = 1.6x + 4x = 5.6x </span>
<span>5.6x = 2240 </span>
<span>x = 400 </span>

<span>2x science = 800 </span>
<span>and 5x art books = 2000 </span>
5 0
3 years ago
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