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N76 [4]
3 years ago
5

The width of a rectangle is the length minus 4 units. The area of the rectangle is 21 units. What is the width, in units, of the

rectangle?​
Mathematics
1 answer:
beks73 [17]3 years ago
7 0

Answer:

Step-by-step explanation:

W=L-4\\ \\ L=W+4\\ \\ A=LW\\ \\ A=(W+4)W\\ \\ A=W^2+4W\\ \\ A=21\\ \\ W^2+4W=21\\ \\ W^2+4W-21=0\\ \\ (W+7)(W-3)=0\\ \\ W>0\\ \\ W=3u

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IN WORDS EXPLAIN THE PROCESS TO SOLVE THIS SYSTEM OF LINEAR EQUATIONS BY ELIMINATION.
Vilka [71]

Answer: (-2,3)

Step-by-step explanation:

-3x + 4y = 18

6x + 2y= -6        we have to eliminate one of the variables so you will have ot

2(-3x + 4y) = 18(2)     multiply the first equation by 2.  

-6x + 8y = 36

6x +  2y = -6       now we could eliminate the x terms by adding them and

0  +   10y= 30   remember that is a new equation.  

       y=  3

Now we know that the y solution is 3 so we will put it into one of the equations and solve for x.

-6x + 8(3)=36

-6x + 24

-24   -24

-6x =  12

x= -2

6 0
3 years ago
Read 2 more answers
Todd has created the following diagram to prove the Pythagorean theorem. He drew right
aalyn [17]

Answer:

  cx +cy = a² + b²

Step-by-step explanation:

In the end, he wants to show that c² = a²+b², so he will want to form the sum a²+b². That sum can be formed by adding the expressions for a² and b² just found:

  cx +cy = a² + b² . . . . . . . Todd's next step

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Then the following steps are ...

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7 0
4 years ago
Find an equation for the plane that contains the point p(−1,3,5)p(−1,3,5) and has the normal vector n=2i+4j−3kn=2i+4j−3k.
coldgirl [10]
Given a plane:
normal vector <2,4,-3>
passes through point (-1,3,5)

The equation of the plane is
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expand and simplify
&Pi; :  2x+4y-3z+5=0
6 0
3 years ago
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Sonja [21]

Two factors of x²-12x+36 are

(x-6) and (x-6)

Solution;

x²-12x +36

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Taking x common from first two terms and 6 from next two terms

x(x-6) -6(x -6)

taking (x-6) common

(x-6)(x-6)


3 0
3 years ago
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Please help with this question :(
Rzqust [24]

Answer:

B) I can be little confident it might be close,or might be way off

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