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3 years ago

8

Which of the following shows the answer to the problem 3/13 x 5/21 = _____ in its simplest form?

1 answer:

Nikolay [14]3 years ago

8 0

$\frac{3}{13} * \frac{5}{21}$
=

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The point V(4, –1) is rotated 90° clockwise around the origin. What are the coordinates of its image V’?

Verizon [17]

Answer:

(-1,-4)

Step-by-step explanation:

Because it is a rotation that turns both the x and y values the two swap places. The x value become negative because before it was in quadrant 4 where there was still a positive chance but rotating the point clockwise puts it into the third quadrant where there are only negatives.

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3 years ago

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Y is inversely proportional to x.<br> When y=50, x=4 <br> Work out y when x=8

notka56 [123]

Answer:

100

Step-by-step explanation:

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3 years ago

What is the 24th term if the arithmetic sequence where a1 = 8 and a9 = 56

AnnyKZ [126]

Answer:

$a_{24} = 146$

Step-by-step explanation:

a1 = 8

a9 = 56

Using formula for finding nth term of arithmeric sequence

$a_{n} =a_{1} + (n-1)d$

We have to find 24th term, therefore n = 24

$a_{1}$ is the first term but we are missing d

d is the difference between the two consecutive terms, lets calculate it first

a9 = 56

Using the above given formula for finding d

put n = 9, a9= 56

$a_{9} =a_{1}+ (9-1)d$

56 = 8 + 8d

8d = 48

d = 6

Getting back to main part of finding 24th term

n = 24, d = 6, a1 = 8

put values in nth term formula

$a_{n} =a_{1}+ (n-1)d$

$a_{24} = 8 + (24-1)6$

$a_{24} = 8 + 138$

$a_{24} = 146$

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3 years ago

If y-18=14 what is the value of 3(y+5)?

svlad2 [7]

$y-18=14\ \ \ /+18\\\\y-18+18=14+18\\\\y=32\\\\substitute\ to\ 3(y+5):\\\\3\cdot(32+5)=3\cdot37=111$

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3 years ago

A rectangle's length, x, is 2 meters greater than its width. If the perimeter of the rectangle is greater than 112 meters, what

kotykmax [81]

Assume widthis x-2
perimeter is 2*(width+length)
so 2*(x+x-1)>112
2*(2x-1)>112
4x-2>112
x>28.5
so any length greater than 28.5 will work

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3 years ago