1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
uranmaximum [27]
3 years ago
5

The area of a rectangle is 72 cm square. The length of the rectangle is 6 cm longer than the width. What is the width of the rec

tangle? A 2 cm B 6 cmC 8 cmD 10 cm
Mathematics
1 answer:
miskamm [114]3 years ago
6 0

The correct option will be :  B) 6 cm.

<u><em>Explanation</em></u>

Suppose, the width of the rectangle is x cm.

As, the length is 6 cm longer than the width, so the length will be: (x+6) cm.

<u>Formula for the Area of rectangle</u> is: (Length)*(Width)

Given that, the area of a rectangle is 72 cm²

So....

x(x+6)=72\\ \\ x^2+6x-72=0\\ \\ (x+12)(x-6)=0

Using zero-product property, we will get...

x+12=0\\ x= -12 <em>(Negative value is ignored as width can't be negative)</em>

and

x-6=0\\ x=6

So, the width of the rectangle is 6 cm.

You might be interested in
Determine the sign of the leading coefficient
9966 [12]

Answer:

negative

Step-by-step explanation:

The graph falls to both the left and right, so the leading coefficient has to be negative, and it must be raised to an even power.

7 0
2 years ago
There are ways to find the area under a normal curve.<br><br> True or false?
Mrrafil [7]

Your answer would be false.

7 0
3 years ago
Read 2 more answers
The coordinate plane below represents a city. Points A through F are schools in the city.
Usimov [2.4K]
Part A. The technique on how to find the equation that only applies to point D and E, is to create a line or curve that only includes two of these points. In this case, I created a random parabola that isolates points C and F from the rest of the points. First, we have to find the equation of the parabola through its general forms:

(x - h)² = +/-4a(y-k)      or    (y - k)² = +/-4a(x - h)

For parabolas drawn like that in the picture, the general form is (x - h)² = +4a(y-k), where the vertex is (h,k) and a is the distance from the vertex to the focus. From the picture, the vertex is at (0,3). Then, we use point D(-2,4) to determine a:

(-2 - 0)² = +4a(4 - 3)
4a = 4

So, the equation of the parabola is:

x² = 4(y - 3)
x² = 4y - 12

Part B. Point D was already verified above. Now for point E(2,4)
x² = 4y - 12
2² ? 4(4) - 12
4 ? 4
4 = 4

Part C. For y < 7x − 4, ignore the equality symbol first and graph the line. Assign random values of x, then you get corresponding values of y. Plot them as shown in the second picture. The line is shown in red. Next, test the equation by choosing a random point. Let's choose the purple point at (4,3).

3 ? 7(4) − 4
3 ? 24
3 < 24

Thus, it applies to the purple point, and all the other areas to that area. The shaded region are all solutions of the inequality. So, Erica is only interested in points E, C and F. 

5 0
3 years ago
Anyone good at composite functions??
sammy [17]

\bf \begin{cases} ~\hfill f(x) = &-3x+4\\ ~\hfill g(x) = &x^2\\ (g \circ f)(0)=&g(~~f(0)~~) \end{cases} \\\\[-0.35em] ~\dotfill\\\\ f(0) = -3(0)+4\implies \boxed{f(0) = 4} \\\\\\ g(~~f(0)~~)\implies g\left( \boxed{4} \right) = (4)^2\implies \stackrel{(g \circ f)(0)}{g(4)} = 16

6 0
3 years ago
Which one of these is not a step used when constructing an inscribed equilateral triangle using technology?
dusya [7]
The third one duhhh, Ik this stuff
6 0
2 years ago
Other questions:
  • Sales tax in City A is 20%. Han paid $14 for his meal before tax. What is the total price of his meal after tax?
    10·1 answer
  • Please help me. Ion understand.
    5·1 answer
  • In the cafeteria's refrigerator, there are 10 bottles of orange juice and 20 bottles of apple juice. What is the ratio of bottle
    13·2 answers
  • A basketball player made 5 baskets during a game. Each basket was worth either 2 or 3 points. How many different numbers could r
    7·1 answer
  • 4 1/3 • 2 3/4 estimate the product
    9·2 answers
  • Make r the subject of the formula <br><br><img src="https://tex.z-dn.net/?f=v%20%3D%20mg%20%5Csqrt%7B%281%20-%20r%20%7B%7D%5E%7B
    12·1 answer
  • In the diagram shown, which angle pairs form complementary angles?​
    14·1 answer
  • What the measure of L is
    7·2 answers
  • Need answers to the ones that i haven’t written anything for
    8·1 answer
  • How do you solve f-3/4=5/6?
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!