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makvit [3.9K]
3 years ago
13

The length of a rectangle is twice the with. If the perimeter of the rectangle is 60 units, find the area of the garden

Mathematics
1 answer:
Darya [45]3 years ago
4 0

w - width

2w - length

60 - perimeter

w + w + 2w + 2w = 6w - perimeter

The equation:

6w = 60    <em>divide both sides by 6</em>

w = 10 → 2w = 2 · 10 = 20

The area: A = width × length

A = (10)(20) = 200

<h3>Answer: The area of the garden is equal 200 square units.</h3>
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Find the equation of the straight line passing through the point (3,5) which is perpendicular to the line y=3x+2
Levart [38]

Answer:

the desired equation is y = (-1/3)x + 6

Step-by-step explanation:

Let the given line be A:  y=3x+2

The slope of line A is m = 3.

The slope of any line B which is perpendicular to line A is the negative reciprocal of the slope of A:  m = -(1/3).

The particular perpendicular line that passes through (3, 5) is then

5 = (-1/3)(3) + b, which simplifies to 5 = -1 + b, or b = 6.

Thus, the desired equation is y = (-1/3)x + 6

7 0
3 years ago
Which expression has a value of 1/36?
Schach [20]
(1/36) = 0.0277777777778

(1/108)^3 = 7.9383224102<span> x 10^-7 </span>
(1/9)^4 = 0.000152415790276
(1/6)^2 = 0.0277777777778
(1/2)^5 =  <span>0.03125

The only one that matches with the value of 1/36 is (1/6)^2. Therefore, your answer is C. (1/6)^2
</span>




6 0
3 years ago
Read 2 more answers
7 + 2y = 8x 3x - 2y = 0 Solve the system of equations by substitution. (70/3, 140/9) (7/5, 21/10) no solution coincident
Wittaler [7]
So we have the system of equations:
7+2y=8x equation (1)
3x-2y=0 equation (2)

To use substitution, we are going to solve for one variable in one of our equations, and then we are going to replace that value in the other equation:
Solving for x in equation (2):
3x-2y=0
3x=2y
x= \frac{2}{3}y equation (3)

Replacing equation (3) in equation (1):
7+2y=8x
7+2y=8( \frac{2}{3} y)
7+2y= \frac{16}{3} y
7= \frac{10}{3} y
y= \frac{7}{ \frac{10}{3} }
y= \frac{21}{10} equation (4)

Replacing equation (4) in equation (3):
x= \frac{2}{3}y
x=( \frac{2}{3} )( \frac{21}{10} )
x= \frac{7}{5}

We can conclude that the solution of our system of equations is <span>(7/5, 21/10)</span>
5 0
3 years ago
How is the graph of the parent function y= hurrrr!!!x2 transformed to produce the graph of y= 3(x+1)2? It is translated 1 unit r
crimeas [40]

Answer:

3.

Step-by-step explanation:

The graph is being moved to the left and then stretched by a factor of three. If it were to be compressed than the 3 would be 1/3.

5 0
3 years ago
Read 2 more answers
PLS BE QUICK AND pls have explanation. Wrong or spam will be reported
rusak2 [61]

The price of each caramel macchiato is $5.60

What is the correct function in this case?

The appropriate function is the one that considers the initial amount of $35 , the amount spent for 5 caramel macchiatos, and the balance left which is $7 after the purchase

This means the $35 minus the amount spent equals $7

let us assume that the price per item is x for 5 items, then he spent 5x

35-5x=7

35-7=5x

28=5x

x=28/5

x=$5.60

Find out more about cost on:brainly.com/question/14909163

#SPJ1

3 0
1 year ago
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