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Bess [88]
2 years ago
14

The width of a rectangle is 12 cm less than the length. the perimeter is 120 cm. Find the length and the width of the rectangle

Mathematics
1 answer:
drek231 [11]2 years ago
8 0

Answer: 48cm

Step-by-step explanation:

Using the formula

P=2(l+w)

Solving for l

l=P

2﹣w=120

2﹣12=48cm

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Slope = 2; (-1,4)<br><br> Gghhhgggggghgehwjwjwjwjwjwjw
krok68 [10]

The slope intercept form is given as  y = 2x + 6

The general expression for slope intercept form is given as:

                   y = mx + c

where, m = slope

             c = intercept

The formula for slope intercept form when we have been given the coordinates of a point and slope is given as :

           (y-y_{1}) = m(x-x_{1})      (1)

where (x_{1} , y_{1}) = the coordinates of a point

               m = slope of the line

putting the required values in equation (1) we get

            (y - 4) = 2(x- (-1))

            (y - 4) = 2(x+1)   [As (-)*(-) = +]

             y - 4 = 2x + 2

              y = 2x + 2 + 4

              y = 2x + 6

Thus the slope intercept form is y = 2x + 6

Learn more about slope intercept form here : brainly.com/question/19440459

#SPJ9                

8 0
1 year ago
Ill give you braindeath if you get this right
victus00 [196]

Answer:

The larger angle is 144 degrees and the smaller angle is 36 degrees

Step-by-step explanation:

Because this is a  supplementary angle you have to find out what x is to solve  this equation 2.4x+9.6x=180

Because 2.4x and 9.6x are like terms we add them 2.4x+9.6x=12x

So now to find x we divide 180 by 12 to get 15  \frac{12x}{12} =\frac{180}{12}

We replace the x with 15 2.4(15)+9.6(15)=36+144

We add 36 and 144 which equals 180

5 0
2 years ago
Read 2 more answers
If you divide one of the roots of the equation 4x2+bx−27=0 by the other root, the quotient will be −3. Find b.
klio [65]
<h3>Answer:</h3>

  ±12   (two answers)

<h3>Explanation:</h3>

Suppose one root is <em>a</em>. Then the other root will be -3<em>a</em>. The product of the two roots is the ratio of the constant coefficient to the leading coefficient:

  (<em>a</em>)(-3<em>a</em>) = -27/4

  <em>a</em>² = -27/(4·(-3)) = 9/4

  <em>a</em> = ±√(9/4) = ±3/2

Then the other root is

  -3<em>a</em> = -3(±3/2) = ±9/2 . . . . . . the roots will have opposite signs

We know the opposite of the sum of these roots will be the ratio of the linear term coefficient to the leading coefficient: b/4, so ...

  -(a + (-3a)) = b/4

  2a = b/4

  b = 8a = 8·(±3/2)

  b = ±12

_____

<em>Check</em>

For b = 12, the equation factors as ...

  4x² +12x -27 = (2x -3)(2x +9) = 0

  It has roots -9/2 and +3/2, the ratio of which is -3.

For b = -12, the equation factors as ...

  4x² -12x -27 = (2x +3)(2x -9) = 0

  It has roots 9/2 and -3/2, the ratio of which is -3.

4 0
3 years ago
A salesperson earns a commission of $589 for selling $3100 in merchandise. Find the commission rate. Write your answer as a perc
Olenka [21]

Answer:

19 %

Step-by-step explanation:

589 is what percetage of 3100?

589 / 3100  * 100 % = 19%

4 0
2 years ago
Read 2 more answers
36 is 80% of what number
skelet666 [1.2K]
If 36 is 80% ( a piece) of a number. that means the number must be higher than 36

Changing the English to math:

36 = 80% x n  (n being the number)
36= .8n  (changed the percent to a decimal by moving it back two places
<u>36</u> = <u>.8</u>n
.8      .8    I divided both sides by .8 - when you divide a number by a decimal (less than one) the number will become larger.
The answer is 45


4 0
3 years ago
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