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
Tamiku [17]
2 years ago
14

The side lengths of a rectangle are described as (2x−3) inches and (5x+7) inches.

Mathematics
1 answer:
anastassius [24]2 years ago
7 0

Answer:

  (a)  10x^2−x−21

Step-by-step explanation:

The area of a rectangle is given by the formula ...

  A = LW . . . . . where L is the length, and W is the width

__

The area of the given rectangle will be ...

  A = (2x -3)(5x +7)

This product is simplified using the distributive property to eliminate parentheses. Then like terms are combined.

  A = 2x(5x +7) -3(5x +7)

  = (2x)(5x) +(2x)(7) -3(5x) -3(7)

  = 10x^2 +14x -15x -21

  A = 10x^2 -x -21

The expression 10x^2 -x -21 represents the area of the rectangle in square inches.

You might be interested in
Find the equation of the line that passes thru (-1,-5) and is parallel to 3x+y=-5. Show work.
sertanlavr [38]

Answer:

y=-3x-8

Step-by-step explanation:

slope-intercept form:

y=mx+b

Start with the given equation, and to find the slope, convert it to slope-intercept form by solving for y.

3x+y=-5

In this case, all you need to do is subtract 3x from both sides.

y=-3x-5

Here, the slope is -3. The slope of a parallel line will also be -3.

Now, we have 3 known variables. We have the slope and the x and y of a known point. Use those 3 knowns to solve for the 1 unknown, the y-intercept.

y=mx+b\\-5=(-3)(-1)+b\\-5=3+b\\-8=b\\b=-8

Finally, with the slope and the y-intercept, you can write the equation of the line:

y=-3x-8

3 0
3 years ago
3 tablespoons of pineapple juice. A can of
lisov135 [29]

Answer:

75 teaspoons!

Step-by-step explanation:

Due to the conversion, each fluid ounce= 6 teaspoons. Do 72 + 3, which equals 75. You get 72 by doing 12 fluid ounces by 6 teaspoons. <3 hope thi s helps, lovely !

3 0
3 years ago
The area of a rectangle is 60 square inches.
xz_007 [3.2K]
X=7 because 7-3 = 4, 7+8= 15,15x4=60.
7 0
3 years ago
I need help number 14 and 15.
Veronika [31]
Go 2 openstudy hope that helped

 
5 0
3 years ago
Plz help I will do anything
Basile [38]

There's no need to get into an ethical morass over math homework.


111.


M is 20% less than N means

M is 100-20=80% of N

M=0.80 N

M/N = 0.8 = 4/5


Ratio: 4/5


112.


When we know <em>a, </em>the average, and <em>n, </em>how many numbers there are, we know the sum <em>s</em>, because <em>a=s/n </em>so <em>s=na.</em>


So the sum of our six numbers is 6(3.5)=21 so the sum of the seven numbers is 21+4.2=25.2 so the average is 25.2/7 = 3.6


Answer: 3.6


113.


|2p + 4 | < 3


At p=-2 the absolute value is zero. As p gets more negative the absolute value argument (inside part) gets negative and the absolute value gets bigger, more positive. Eventually the inside will be exactly -3, when


2p +4 = -3


2p = -7


p = -7/2 = -3 1/2


So p=-4 will make the inequality false, and p=-3 is the smallest integer that makes the inequality true.


Answer: -3



114.


The distance from the origin is given by the Pythagorean Theorem and this one is a 3/4/5 right triangle:


d = \sqrt{(-.3)^2 + (-.4)^2}=.5


Answer: .5 or 1/2


4 0
3 years ago
Other questions:
  • Which of the following functions is graphed below
    13·1 answer
  • Marty is saving money to buy a new computer. He received $200 for his birthday and saves $150 of each week’s paycheck.
    13·1 answer
  • A trough has ends shaped like isosceles triangles, with width 5 m and height 7 m, and the trough is 12 m long. Water is being pu
    7·2 answers
  • Katie is getting her laundry done it cost $2.25 per square foot of flowers added to the yard if she wants 12.4 ft.² of flowers h
    14·1 answer
  • 12+3 (4f-4) can you show your work and simple simplify
    12·2 answers
  • Given: If X, then Y. If Y, then Z. Y is true. So: X is unknown, Z is unknown X is unknown, Z is true X is false, Z is true X is
    14·1 answer
  • A school bus has 22 rows of seats, and 4 students can be
    12·1 answer
  • This is the graph of f(x). what is the value of f(2)
    12·1 answer
  • one day, bill at the candy shoo sold 210 bottles of cherry soda and grape soda for a total of 230.30. If the cherry soda costs 1
    11·1 answer
  • How do you calculate the minimised dimensions: length width and height of a rectangular prism with the given volume of 10m^3?
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!