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
Tju [1.3M]
3 years ago
12

A rectangle has a length 5 meters more than five times the

Mathematics
1 answer:
k0ka [10]3 years ago
4 0

Given:

A rectangle has a length 5 meters more than five times the  width.

The area of the rectangle is less than 100 meters  squared.

To find:

The expression or inequality that represents all possible  widths of the rectangle.

Solution:

Let x be the width of the rectangle.

Length of the rectangle is 5 meters more than five times the  width.

length=5x+5

Area of rectangle is

Area=length \times width

Area=(5x+5) \times x

Area=5x^2+5x

The area of the rectangle is less than 100 meters  squared.

5x^2+5x

5x^2+5x-100

Divide both sides by 5.

x^2+x-20

x^2+5x-4x-20

x(x+5)-4(x+5)

(x+5)(x-4)

It is true if one factor is negative and other is positive. So,

x-4     ...(i)

x+5>0\Rightarrow x>-5       ...(ii)

Using (i) and (ii), we get

-5

Therefore, the required expression or inequality for possible

widths of the rectangle is -5.

You might be interested in
I’m not sure how to do this
Cerrena [4.2K]
It's b because you have to round up
5 0
3 years ago
Read 2 more answers
Explain how to use the distributive property to find the product (3) ( 4 1 5 )
Masja [62]

Answer:

1245

Step-by-step explanation:

Distribute the number 3 to each of the numbers in the second set of parentheses. Be careful to remember to add zeros to the number depending on which place holder the number is in.

Demonstration:

3 × 400

3 x 10

3 x 5

After solving each equation, add the total

1200 + 30 + 15 = 1245

3 0
3 years ago
Read 2 more answers
What is the equation in slope intercept form for (2,5) (3,12)
kondaur [170]

Slope formula: y2-y1/x2-x1

= 12-5/3-2

= 7/1

= 7

_____

Best Regards,

Wolfyy :)

7 0
3 years ago
1 Point<br> The circle below is centered at (-3, 2) and has a radius of 3. What is its<br> equation?
arlik [135]

Answer:

(x + 3)^2 + (y - 2)^2 = 9

Step-by-step explanation:

<u>Equation for a circle:  (x – h)^2 + (y – k)^2 = r^2</u>

<u />

<u>Step 1:  Determine what h, k, and r are</u>

<em>h is the x value of the point:  -3</em>

<em>k is the y value of the point:  2</em>

<em>r is the radius of the circle:  3</em>

<u>Step 2:  Plug in and solve</u>

(x – h)^2 + (y – k)^2 = r^2

(x – (-3))^2 + (y – (2))^2 = (3)^2

<em>(x + 3)^2 + (y - 2)^2 = 9</em>

<em />

Answer:  (x + 3)^2 + (y - 2)^2 = 9

8 0
3 years ago
Please answer if you know the answer!<br><br> [Help]
Alinara [238K]

Remember that an exponent means repeated multiplication.

The exponent of 4 means you have four \big(b^2\big)'s mutiplied together:

      \big(b^2\big)\cdot\big(b^2\big)\cdot\big(b^2\big)\cdot\big(b^2\big)

And then each exponent of 2 inside means you have two b's multiplied inside each set of parentheses.:  

    \big(b\cdot b\big)\cdot\big(b\cdot b\big)\cdot\big(b\cdot b\big)\cdot\big(b\cdot b\big)

There are 8 b's there when you expand this out.

6 0
2 years ago
Other questions:
  • A 4 cm x 6 cm rectangles it inside a circle with radius of 11 cm what is the radius of the shaded region
    5·1 answer
  • What is 9 divided by 765 <br><br> please show the work i really need help
    8·2 answers
  • Sony takes four breathes every 10 seconds during yoga at this rate about how many breaths Sony take on two minutes of yoga
    5·2 answers
  • Find the unit cost of a store sells a dozen eggs for 1.99.
    10·1 answer
  • PLEASSEEE HELP OMG I WILL DO ANYTHING!!! IM BEGGING
    8·1 answer
  • Y=5+2x fill in the table using this function rule
    7·1 answer
  • The dot plots show rainfall totals for several spring storms in highland areas and lowland areas. What is the median rainfall fo
    8·2 answers
  • Ship A sights ship B on a bearing of 308°. What is the bearing of A from B?
    10·1 answer
  • If a recipe uses 5 cups of flour for every 2 cups of sugar, how much sugar is used for every 1 cup of flour?
    11·1 answer
  • 2 Math questions! Offering the brainliest to who answers
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!