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iogann1982 [59]
3 years ago
14

a plot of land is rectangular and has an area of x^2-5x-24m^2 . the length is x+3m. Find the width of the plot.

Mathematics
1 answer:
luda_lava [24]3 years ago
4 0
Divide x^2-5x-24 by x+3
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Find the value of y so that WX is perpendicular to YZ
Alexxandr [17]

step 1

Find out the slope WX

W(2,-3) and X(-4,9)

m=(9+3)/(-4-2)

m=12/-6

m=-2

step 2

Find out the slope YZ

Y(5,y) and Z(-1,1)

m=(1-y)/(-1-5)

m=(1-y)/-6

m=(y-1)/6

step 3

Remember that

If two lines are perpendicular

then

their slopes are negative reciprocal

that means

(y-1)/6=1/2 -----> because the negative reciprocal of -2 is 1/2

solve for y

2y-2=6

2y=6+2

2y=8

<h2>y=4</h2>
8 0
1 year ago
Avi's pet hamster Chubby loves to run in his hamster wheel. During one "race", Avi counts 100 rotations of the wheel. She wants
Fantom [35]
Answer: 800pi inches

=======================================

Explanation:

The formula to find the circumference of a circle is
C = pi*d
where
C = distance around the circle (aka circumference)
pi = 3.14 approximately
d = diameter

We know that the diameter of the wheel is d = 8, so 
C = pi*d
C = pi*8
C = 8pi
is the circumference of the wheel

One full rotation will have the wheel cover a distance of 8pi inches. Imagine that wet paint is on the outer surface of the wheel. If the wheel is rolled out in a straight line, then the wet paint would cover a linear distance of 8pi inches along the flat ground. This is one full rotation, so 100 rotations covers 100*8pi = 800pi inches

Note: if we use pi = 3.14 as the approximation, then the hamster ran approximately 800*pi = 800*3.14 = 2512 inches if the wheel could move
5 0
3 years ago
Read 2 more answers
PLEASE HELP! What is the slope of the line that passes through the points below? (Enter your answer as a decimal if necessary.)
lozanna [386]

1

is the right answer.

because rise is 1 and run is 1 = 1/1 = 1

8 0
3 years ago
The attendance office creates a bar graph to display the number of students tardy throughout the month. What is the range of the
aliina [53]

Answer:

60

Step-by-step explanation:

To find the range you subtract the highest and lowest value

The highest value on this graph is 105 from the month of May and the lowest value is 45 from the month of March.

When you do 105-45 you get 60 which is the range

5 0
3 years ago
Luke has a calculator that will only display number less than or equal to 999,999,999. Which of the following products will his
liq [111]

Answer:

≥ 999,999,999

Step-by-step explanation:

that is the less than or equal to sign

hope this helps

8 0
3 years ago
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