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
seraphim [82]
3 years ago
12

A rectangle has a perimeter of 23 cm. Its area is 33 cm2. Determine the

Mathematics
1 answer:
SCORPION-xisa [38]3 years ago
5 0

Answer:

length = 6 cm; width = 5.5 cm

Step-by-step explanation:

Let the length = x. Let the width = y.

We use the formulas for area and perimeter using x and y, and the given values.

area = length * width

perimeter = 2(length + width)

xy = 33

2(x + y) = 23

Solve the first equation for x:

x = 33/y

Substitute 33/y for x in the second equation.

2(33/y + y) = 23

66/y + 2y = 23

Mulrtiply both sides by y.

66 + 2y^2 = 23y

2y^2 - 23y + 66 = 0

(2y - 11)(y - 6) = 0

2y - 11 = 0   or   y - 6 = 0

y = 11/2 = 5.5   or   y = 6

xy = 33

x * 11/2 = 33

x = 33 * 2/11

x = 6

Answer: length = 6 cm; width = 5.5 cm

You might be interested in
Zalma’s stock investment in March was $120. In October, it was $400.
Goryan [66]

Answer:

In December, Zalma will have $480.

Step-by-step explanation:

The time from March to October is 7 months. In those 7 months, she gains $280. So every month, her investment gains $40.

The time from March to December is 9 months. She will gain $360 during that time. We add her initial $120 with the $360, and Zalma will have $480.

It's not confirmed, but it's what I got. :D

8 0
3 years ago
Read 2 more answers
What is the average rate of change for the function f(x)=3x^2 -5 on the interval −3 ≤ x ≤ −1 ?
Anestetic [448]

Answer:

-12

Step-by-step explanation:

Let b = -1 and a = -3

The average rate of change = \frac{f(b) - f(a)}{b - a}

f(b) = f(-1) = 3(-1)^2 - 5 = 3 - 5 = -2

f(a) = f(-3) = 3(-3)^2 - 5 =27 - 5 = 22

f(b) - f(a) = -2 - 22 = -24

b - a = -1 + 3 = 2

\frac{f(b) - f(a)}{b - a} = -24/2 = -12

4 0
3 years ago
What is the equation of the line that is parallel to y-3x=2 and that passes through (6,1)?
Rudik [331]

Slope-intercept form:  y = mx + b

(m is the slope, b is the y-intercept or the y value when x = 0 --> (0, y) or the point where the line crosses through the y-axis)

For lines to be parallel, they need to have the same slope.

y - 3x = 2      Add 3x on both sides to change the equation to slope-intercept form

y - 3x + 3x = 2 + 3x

y = 3x + 2   The slope is 3, so the parallel line's slope is also 3.

Now that you know the slope, substitute/plug it into the equation

y = mx + b

y = 3x + b    To find "b", plug in the point (6, 1) into the equation, then isolate/get the variable "b" by itself

1 = 3(6) + b  

1 = 18 + b     Subtract 18 on both sides to get "b" by itself

1 - 18 = 18 - 18 + b

-17 = b

y = 3x - 17    Your answer is the 1st option

8 0
3 years ago
Read 2 more answers
Prove that 7-4√7 is irrational​
mixas84 [53]

Answer:

hey ;

7 - 4 \sqrt{7}

is an irrational number

Step-by-step explanation:

here's the proof in attachment.

<em>i</em><em> </em><em>hope</em><em> </em><em>it</em><em> </em><em>helped</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em>

3 0
3 years ago
Please help me It's math I will give you extra points.
pentagon [3]
It’s the one you are on
5 0
3 years ago
Other questions:
  • carlos has $10 more than jeremy. jeremy has $5 more than michelle altogether they have $80. what part michelle have?
    6·1 answer
  • How do you do this?? <br> explain it well please!
    7·1 answer
  • A map key shows it that every 5 inches on the map represents 200 miles of actual distance suppose the distance between the two c
    6·1 answer
  • In kite WXYZ, m∠XWY = 38° and m∠ZYW = 15°.
    11·2 answers
  • 20) FISH The elevation of a fish is -27 feet. a. The fish decreases its elevation by 32 feet, and then increases its elevation b
    12·1 answer
  • Sally has two coins. The first coin is a fair coin and the second coin is biased. The biased coin comes up heads with probabilit
    6·1 answer
  • Two exponential functions are shown in the table. A 3-column table has 5 rows. The first column is labeled x with entries 2, 1,
    7·1 answer
  • Question 20 (5 points)
    6·1 answer
  • What is the smallest number greater than 1 that leaves a remainder 1 when divided by each of 2, 3, and 4?
    8·1 answer
  • This shape is made of three identical semicircles.
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!