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
Nikitich [7]
2 years ago
9

A rectangle with an area of 24 square units has length x+1 and width 4x-6. find the value of x.

Mathematics
1 answer:
astra-53 [7]2 years ago
6 0
Area = length x width.
24 = (x + 2)(x - 3) = x² - x - 6
x² - x - 30 = 0
(x + 5)(x - 6) = 0
We can eliminate the root x = - 5 because dimensions cannot be negative. So, the only valid answer is x = 6

The length = x + 2 = 6 + 2 = 8 in.
The width = x - 3 = 6 - 3 = 3 in.
You might be interested in
Myra will attend college in 18 months.
koban [17]
6,300 - 2,400 -1,900 = 2,000. 2,000 divided by 18 is $111.11. So the answer is B
8 0
2 years ago
Read 2 more answers
What is the rate of change between the interval x= pi and x= 3pi/2
Romashka [77]

Answer:

\frac{6}{\pi } or 1.9099

Step-by-step explanation:

Look for y values at each of those given values of "x" and apply the slope formula.  When x = pi. y = -1 so the coordinate is (\pi,-1).  When x = 3pi/2, y = 2 so the coordinate is (\frac{3\pi }{2},2)

Plug those values into the slope formula:

\frac{2-(-1)}{\frac{3\pi }{2}-\pi}

You need a common denominator of pi:

\frac{3}{\frac{3\pi-2\pi}{2} }=\frac{3}{\frac{\pi }{2} }

Do the math on that to get a slope of \frac{6}{\pi } =1.9099

8 0
3 years ago
What is the estimated quotient for 5,514÷82?
GuDViN [60]
The quotient to 5,514/82 is 67.24390244... If you round this to the nearest whole number, you get 67. If you round to the nearest tenth, you get 67.2. :)
7 0
3 years ago
Read 2 more answers
What is the probability of exactly 3 girls out of three children?
nata0808 [166]

Answer:3/6

Step-by-step explanation:

cause there's also a probability of getting a boy

5 0
3 years ago
What are the coordinates of the point LaTeX: \frac{3}{4}\:3 4of the way from A to B? coordinate plane with line segment AB. Poin
egoroff_w [7]

Answer: \left(\dfrac{-7}{2},\dfrac{5}{4}\right).

Step-by-step explanation:

It is given that Point A is at (-5, -4) and point B at (-3, 3).

We need to find the coordinates of the point which is 3/4 of the way from A to B.

Let the required point be P.

AP:AB=3:4

AP:PB=AP:(AB-AP)=3:(4-1)=3:1

It means, point P divides segment AB in 3:1.

Section formula:  If a point divides a line segment in m:n, then

\left(\dfrac{mx_2+nx_1}{m+n},\dfrac{my_2+ny_1}{m+n}\right)

Using section formula, we get

P=\left(\dfrac{3(-3)+1(-5)}{3+1},\dfrac{3(3)+1(-4)}{3+1}\right)

P=\left(\dfrac{-9-5}{4},\dfrac{9-4}{4}\right)

P=\left(\dfrac{-14}{4},\dfrac{5}{4}\right)

P=\left(\dfrac{-7}{2},\dfrac{5}{4}\right)

Therefore, the required point is \left(\dfrac{-7}{2},\dfrac{5}{4}\right).

6 0
3 years ago
Other questions:
  • Fred's frog jump seven times as far as sells frog the two frogs jump a total of 56 inches how far did Fred's frog jump
    12·1 answer
  • 33x33-33+33X33= whta is the anser
    9·2 answers
  • Dianne pays $28 to enter a stare fair , plus $2 for each ride . What equation represents her total cost
    11·1 answer
  • Why is (3,-5) not a solution to -x+4y=-15
    6·1 answer
  • Solve the following system of equations by substitution and select the correct answer below:
    13·2 answers
  • A meter is one thousandth of a kilometer. write an equation to show the relationship between 7 meters and 0.007 kilometer.
    15·2 answers
  • 2/5 + 1/10= In simplest form<br> A. 3/15<br> B. 5/10<br> C. 1/4<br> D. 1/2
    5·2 answers
  • Calculate the slope of the formed line using the following points: (-10.5) (0, -10).
    14·1 answer
  • If a leaky faucet drips one ounce of
    14·1 answer
  • What's the answer to this?
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!