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
ipn [44]
3 years ago
10

A rectangle has length x and width x – 3. The area of the rectangle is 10 square meters. Complete the work to find the dimension

s of the rectangle. x(x – 3) = 10 x2 – 3x = 10 x2 – 3x – 10 = 10 – 10 (x + 2)(x – 5) = 0 What are the width and length of the rectangle?
Mathematics
1 answer:
Tamiku [17]3 years ago
5 0

Answer:

Step-by-step explanation:

Area of rectangle = Length × Width

The given rectangle has a length if x meters

The width of the triangle is (x-3) meters

The area of the rectangle is given as 10 square meters.

Area if rectangle = x(x-3) = 10

Multiplying each term in the parentheses,

x^2 -3x = 10

x^2 -3x -10 = 0

This is a quadratic equation

We will look for two numbers such that when they are multiplied, it will give us -10x^2 and when they are added, it will give -3x. It becomes

x^2 + 2x - 5x -10 = 0

x(x+2)-5(x+2) =0

( x + 2)(x-5) = 0

x = -2 or x = 5

The length of the rectangle cannot be negative so the length is 5 meters

Widith = x+3 = 5-3 = 2 meters

You might be interested in
A running track in the shape of an oval is shown. The ends of the track form semicircles. A running track is shown. The left and
serg [7]
Two shapes.. a circle and a rectangle. The width of the rectangle serves as the diameter of the circle.
Length = 140 m ; Width = 68 m
Circumference of a circle = 2 π r circumference of a cirlce =  2 * 3.14 * (68m/2) = 2 * 3.14 * 34 m = 213.52
length = 2 * 140 m = 280 m
perimeter of the oval = 213.52 m + 280 m = 493.52 m
8 0
2 years ago
Read 2 more answers
Which equation is equivalent to..
svet-max [94.6K]

Answer:

D

Step-by-step explanation:

1/3)^{x} = \frac{1}{3^{x} } = 3^{-x}

and

27^{x+2} = (3^{3})^{x+2} = 3^{3(x+2)} = 3^{3x+6}

Hence expression D is equivalent

6 0
2 years ago
Factor-3/4 out of 3/2x-9/4y
S_A_V [24]

For this case we must factor - \frac {3} {4}of the following expression:

\frac {3} {2} x- \frac {9} {4}y

By law of signs of multiplication it is fulfilled that:

- * - = +\\- * + = -

So we have to:

- \frac {3} {4} * (- 2) = + \frac {6} {4} = + \frac {3} {2}\\- \frac {3} {4} * 3 = - \frac {9} {4}

Thus, by factoring we have:

- \frac {3} {4} (- 2x + 3y)

Answer:

- \frac {3} {4} (- 2x + 3y)

5 0
3 years ago
What is the greatest common factor of 44 12 and 28?
morpeh [17]

The greatest common factor of these three numbers is 4.

In order to find this, we start with factors of the smallest number (12). The factors are listed below.

12, 6, 4, 3, 2, 1

Now we start with the biggest and work our way down until we find something that goes into all 3.

12 does not go in evenly to either 44 or 28, so we can't use that.

6 does not go in evenly to either 44 or 28, so we can't use that.

4 goes in evenly to both as seen below:

44/4 = 11

28/4 = 7

Therefore, 4 is the greatest common factor.

3 0
3 years ago
A shelter has enough food to feed an average of 80 hungry people a day for 14 days. If an average of 32 people are at the shelte
Katen [24]

Answer:

  • <u>35 days. </u>

Explanation

The capacity of the shelter is a constant. It is 80 people × 14 days.

That is an inverse relation: the product of the number of people and the number of days will be always the same.

As the number of people decreases the number of days that the food lasts increases, in a proportion such that the product of the days and the number of people is the same.

Thus, for 32 people the number of days the food lasts is x, such that:

  • 32 people × x = 80 people × 14 days

Solving for x:

  • x = 80 people × 14 days / 32 people
  • x = 35 days ← answer

The food will last 35 days.

6 0
2 years ago
Read 2 more answers
Other questions:
  • Find the part using the multiplication shortcut.<br> 17.5​% of 1440 cell phones
    5·2 answers
  • You roll a standard number cub. Find P(3 or 4)
    11·1 answer
  • The measure of angle O is 110°. what is the angle of r and p?
    8·2 answers
  • Which expression is a difference of two terms that is equivalent to 6z - 13
    8·2 answers
  • What is the equation
    15·1 answer
  • James ran 3 miles. How many yard
    13·2 answers
  • The straight line joining the points A(3,-5) and B(6,k) has a gradient of 4. Work out the value of k.
    13·1 answer
  • What type of numbers has exactly two factors?
    5·1 answer
  • Are the two expressions in the equation 2b + 5 + 1b = 3b + 5 equal or equivalent? How do you know
    7·1 answer
  • The local recreation center charges members a registration fee and a separate monthly membership fee. The equation of the functi
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!