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
Andrei [34K]
3 years ago
7

The width of a rectangle is 7 inches shorter than its length. The area is 78 square inches. What are the dimensions of the recta

ngle?
Mathematics
1 answer:
harina [27]3 years ago
6 0

Answer:

Step-by-step explanation:W = L - 7

WL = 78

(L-7)L = 78

L^2 - 7L - 78 = 0

Factorize: (L-13)(L+6) = 0

L = 13 or -6

A length cannot be negative, so the length must be 13 miles.

The width is 13-7 = 6 miles.

You might be interested in
For what values of theta (0 less than or equal to theta less than or equal to 2pi) do maximum r values occur on the graph the po
9966 [12]

Answer:

Step-by-step explanation:

To find the values of the angle which makes maximum r you use the derivative of r

\frac{dr}{d\theta}=\frac{1}{3}sin(3\theta)

If you equals this derivative to zero you obtain the value of the angle:

\frac{dr}{d\theta}=0\\\\cos3\theta=0\\\\3\theta=\frac{\pi}{2}\\\\\theta=\frac{\pi}{6}

However, the values of 5π/6 and 9π/6 are also available, because makes the sinusoidal function equal  to 1.

hence, the answer is:

\theta_1=\frac{\pi}{6} \\\\\theta_2=\frac{5\pi}{6}\\\\\theta_3=\frac{9\pi}{6}=\frac{3\pi}{2}

answer b

7 0
3 years ago
A straight line with the equation y=ax-3 goes through the point (2,11). Work out the value of a
Rzqust [24]

The value a is 7.

<h3>What is Straight Line?</h3>

A line is simply an object in geometry that is characterized under zero width object that extends on both sides. A straight line is just a line with no curves.

Here, the given equation of line

      y = ax -3

line passing through point (2, 11), then

    11 = a X 2 - 3

    11 + 3 = 2a

     2a = 14

      a = 7

Thus, the value a is 7.

Learn more about Straight line from:

brainly.com/question/20492082

#SPJ1

4 0
2 years ago
The slope of the line y=2/3x+5/9 is M=
beks73 [17]

Answer: 7

Step-by-step explanation:

8 0
2 years ago
Which situation is an example of an observational study?
Ymorist [56]

Answer:

it finding the number of jelly beans

Step-by-step explanation:

6 0
3 years ago
Trevor tutors French for $12 an hour and scoops ice cream for $8 an hour. He is going to work 20 hours this week. At least how m
Arlecino [84]

Answer:

the answer is 16 hours

Step-by-step explanation:

i just multiplied 12(the amount he gets from tutoring) and multiplied it by different numbers  to see which one gets him past $190

8 0
3 years ago
Other questions:
  • Find the mean for each data set.
    5·2 answers
  • What is .58 repeating as a fraction
    8·1 answer
  • Name two coordinates that are on the line: <img src="https://tex.z-dn.net/?f=y%20%3D%2012" id="TexFormula1" title="y = 12" alt="
    14·1 answer
  • 1. A bag contains 3 red marbles and 4 blue marbles. Two marbles are drawn at random without replacement.
    12·2 answers
  • How can you use mental math to determmine if a ratio is simplifiefied
    12·1 answer
  • Find the compound interest on GHS 50,200 invested at 13% p.a. compounded annually for 3 years ( to the nearest
    8·2 answers
  • I NEED HELP NOW MY ASIGNMENT IS DUE BEFORE 8;00 PLZZZ HELP AND PUT A ANSWER THAT HASN'T BEEN USED(05.02)Mr. Morris is going to s
    10·2 answers
  • PLEASE HELP FOR ALGEBRA TEST write an equation that contains the coordinates (0,-1) and (3,7)
    15·1 answer
  • Find the 97th term of the arithmetic sequence -16, 2, 20,
    13·1 answer
  • My son wants to make and equilateral triangle with sticks and string. Explain how he could do this?
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!