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
Free_Kalibri [48]
3 years ago
8

A rectangle has an area of 36 square units. As the length and the width change, what do you know about their product? Is this le

ngth proportional to the width? Justify your reasoning.
Mathematics
1 answer:
m_a_m_a [10]3 years ago
5 0
Area = 36 = length*width

Then, while the area is constant the product length*width is constant.

Length and area are inversely related.

That means that to keep the same product (area), length vary in inverse proportion to width.

If you increase length, widht has to decrease to satisfy this relation:

width = 36/length

Of course, you can also say: length = 36 / width.
You might be interested in
What is the value of the digit 7 in 870,541
faust18 [17]
The value of 7 in 870,541 is 10,000
3 0
3 years ago
Graph the image of square TUVW after the following sequence of transformations:
GuDViN [60]
Move the shape down by one quadrant and flip it so where “U” was at, “W” is in its place and Vice versa
4 0
3 years ago
Given the equation 4x2 − 8x + 20 = 0, what are the values of h and k when the equation is written in vertex form a(x − h)2 + k =
GenaCL600 [577]

Answer:

The correct option is:

h = 1, k = 16

Step-by-step explanation:

y=4x^2-8x+20 =0

It is a quadratic formula in standard form:

ax^2+bx+c

where a = 4 , b = -8 and c=20

The vertex form is:

a(x − h)2 + k = 0

h is the axis of symmetry and (h,k) is the vertex.

Calculate h according to the following formula:

h = -b/2a

h= -(-8)/2(4)

h = 8/8

h = 1

Substitute k for y and insert the value of h for x in the standard form:

ax^2+bx+c

k = 4(1)^2+(-8)(1)+20

k = 4-8+20

k=-4+20

k = 16

Thus the correct option is h=1, k=16....

8 0
3 years ago
Ax+By=C <br> Can you guys solve this please and explain how you did it.
OleMash [197]
What variable are you solving for?
3 0
3 years ago
2) 9 lbs. of mixed nuts containing 55% peanuts were
Sonbull [250]

Answer:

<em>The new mixture is 49% peanuts.</em>

Step-by-step explanation:

The first batch of 9 lb of mixed nuts contains 55% peanuts. This means the quantity of peanut is:

9*55/100=4.95 lb

The second batch of 6 lb of mixed nuts contains 40% peanuts. This means the quantity of peanut is:

6*40/100=2.4 lb

The total quantity of peanut in the mix is

4.95 lb + 2.4 lb =7.35 lb

There are 9 lb + 6 lb = 15 lb of mix. Thus, the percent of peanut in the mix is:

7.35 / 15 * 100 = 49%

The new mixture is 49% peanuts.

6 0
3 years ago
Other questions:
  • Round the number 784,072 to the nearest hundred thousand
    15·2 answers
  • Divide 169 mi in the ratio 5 : 8.
    8·1 answer
  • Jake ate 4/8 of a pizza. Millie ate 2/8 of a pizza. How much pizza was eaten by Jake and Millie? Write in the simplest form
    8·1 answer
  • Mya is paid $960 a week to walk 20 dogs. If she is paid the same amount to walk each dog , what is the cost to walk one dog each
    12·1 answer
  • Simply (2x^-3 y^5) (-4x^8 y^2)
    14·1 answer
  • At a charity fundraiser, adult tickets were sold for $10 each and children’s tickets were sold for $2 each. How much money was r
    11·2 answers
  • Solve for y <br> q(a+y)=67y+93
    9·1 answer
  • Are anesthetics safe? The National Halothane Study was a major investigation of the safety of anesthetics used in surgery. Recor
    7·1 answer
  • Find the area of square Park with the side of 15 1/5
    5·1 answer
  • If I am 165 centimeter tall. And Roberto is 1.7 meters tall who is taller?
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!