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Rus_ich [418]
3 years ago
7

the perimeter of a rectangle parking lot is 322 m. if the length of the parking lot is 86 m, what is the width

Mathematics
1 answer:
bekas [8.4K]3 years ago
4 0
Perimeter of rec. = 2 ( l + w )

Given: perimeter of rectangle = 322m, length = 86m

Required: width = ?

Solution: 322 = 2 ( 86 + w )
Divide 322 by 2 ie, 322/2 = 86 + w
Will be equal to 161 = 86 + w
Therefore Width= 161 - 86 = 75

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Calculate the slope of the points (-2, -1) and (3, 4). Show all of your work.
puteri [66]
m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}} = \frac{4 - (-1)}{3 - (-2)} = \frac{4 + 1}{3 + 2} = \frac{5}{5} = 1

y - y₁ = m(x - x₁)
 y - 4 = 1(x - 3)
 y - 4 = 1(x) - 1(3)
 y - 4 = x - 3
   + 4      + 4
      y = x + 1
4 0
3 years ago
Read 2 more answers
Find anequation of the line containing (3,-4) and having slope -2. If this line
Stells [14]

Answer:

A linear equation can be written as:

y = a*x + b

Where a is the slope and b is the y-intercept.

If we want to have a slope equal to -2, then our line will be something like:

y = -2*x + b

Now, we also want this line to pass through the point (3, -4)

This means that when x = 3, we must have y = -4

Then:

-4 = -2*(3) + b

-4 = -6 + b

-4 + 6 = b

2 = b

Then our line is:

y = -2*x + 2

Now, the second part says that:

If this line  contains the points (2,8) and (5.b), find a and b.​

This is incorrectly written because this line clearly does not contain the point (2, 8), so i guess the actual problem is something like:

If this line  contains the points (a,8) and (5.b), find a and b.​

If the line contains the point (a, 8), this means that when y = 8, we must have x = a.

Then:

8 = -2*a + 2

8 - 2 = -2*a

6 = -2*a

6/-2 = -3 = a

a = -3

Similar reasoing for the other point, if the line contains the point (5, b), this means that when x = 5, we have y = b.

Then:

b = -2*5 + 2 = -10 + 2

b = -8

7 0
3 years ago
During a catered lunch an average of 4 cups of tea are poured per minute. This lunch will last 2 hours. How many gallons of tea
zzz [600]
4 cups are poured every minute...there are 60 minutes in 1 hr...so for 2 hrs, there is 120 minutes...at 4 per minute = 120 * 4 = 480 cups in 2 hrs

16 cups = 1 gal
480 cups = 480/16 = 30 gallons <===
4 0
3 years ago
Х
inn [45]

Answer:

y = 3(2)^x

Step-by-step explanation:

Given

The attached table

Required

Determine the exponential function

An exponential function is represented as:

y = ab^x

From the table;

(x,y)=(0,3)

So:

y = ab^x

3 = a * b^0

3 = a * 1

3 = a

a = 3

Also:

(x,y) = (1,6)

So:

y = ab^x

6 = a * b^1

6 = a * b

Substitute a = 3

6 = 3 * b

Solve for b

b = 2

So:

y = ab^x

y = 3(2)^x

3 0
3 years ago
Plsss help with this asap!!
siniylev [52]
Y= -5x + 3 is not the answer it’s y= -5/3x
6 0
3 years ago
Read 2 more answers
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