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
6

A rectangle has a perimeter of 28 units, an area of 48 square units, and sides that are either horizontal or vertical. If one ve

rtex is the point (−5, −7) and the origin is in the interior of the rectangle, find the vertex of the rectangle that is opposite (−5, −7).

Mathematics
1 answer:
crimeas [40]3 years ago
3 0

Answer:

Opposite coordinate of (−5, −7) = (1,1)

Step-by-step explanation:

Let the sides of rectangle be a and b

Perimeter = 2 ( a+b ) = 28

                       a + b = 14

Area = ab = 48

The sides with sum 14 and product 48 is 8 and 6.

a = 8 and b = 6

Since origin is inside the circle, the side with 8 unit is parallel to y axis and side with 6 unit is parallel to x axis

        Opposite coordinate of (−5, −7) = (−5+6, −7+8) =(1,1)

You might be interested in
Henry's patio is in the shape of a rectangle. He said the perimeter of the patio is 48 feet . He knows that one side is 9 feet w
ss7ja [257]

Answer:

2 sides of the patio are 9ft and another 2 sides are 15ft

Step-by-step explanation:

To solve this problem we have to know thata rectangle has 4 sides and 2 of them are equal to each other

This is the formula to calculate perimeter

p = perimeter 48 ft

a = side a = 9 ft

b = side b

p = 2a + 2b

we replace the known values

48ft = 2*9ft + 2b

48ft = 18ft + 2b

48ft - 18ft = 2b

30 / 2 = b

15 = b

2 sides of the patio are 9ft and another 2 sides are 15ft

8 0
3 years ago
189 divided by 9941.4
vovikov84 [41]
The answer is 0.0190114068441065
4 0
3 years ago
For every part produced by the factory there are 5 ounces of scrap aluminum that can be recycled. There are 16 ounces in 1 Pound
Alborosie

6,400 parts are needed to make 1 ton of scrap metal

5 0
2 years ago
Plz help!<br> Which table shows a linear function?
Nikitich [7]
The second table. A linear function is a function where adding the same amount to x should add the same amount to y.

In table 2, you can see that adding 1 to x adds 2 to y. All the other tables describe non-linear functions.
6 0
3 years ago
Read 2 more answers
BRAINLIEST<br>through: (-3,5) parallel to y=-2x-3
umka2103 [35]

Answer:

Parallel Lines have the SAME SLOPE

We first Find the Slope of the line  

y = 2 x + 3

The Slope Intercept Form of the equation of a given line is:

y = m x + c

where  m  is the Slope of that line, and  c  is the Y intercept. For this line, the Slope is  2  So the Slope of the line PARALLEL to  

y = 2 x + 3

will also be  2 . And we are given that it passes through the point  

( − 3 , 4 )  

With this, we can use the Point Slope form to find the equation of the line.  

The Point-Slope form of the Equation of a Straight Line is:

( y − k ) = m ⋅ ( x − h )  m  is the Slope of the Line  

( h , k )  are the co-ordinates of any point on that Line.  

Here, we have been given the coordinates  

( h , k )  of 1 point on that line as  ( − 3 , 4 )  

And the Slope  m  is  2

Substituting the values of  h , k and m  in the Point-Slope form, we get

( y − 4 ) = ( 2) ⋅ ( x − ( − 3 ) )

The above will be the Equation of the Line in Point-Slope form.

If we need it in the Slope Intercept Form, we need to follow these steps:

Modifying the equation, we get:

( y − 4 ) = 2 ⋅ ( x + 3 )  

y − 4 = 2 x + 6

y = 2 x + 6 + 4  

We get the equation of the line as :

y = 2 x + 10

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Other questions:
  • Please help! I can't figure this out!
    10·1 answer
  • Estimate the quotient 63.5 dividend by 5
    11·1 answer
  • (don't understand but I think its easy)Which of the following relations is a function?
    13·2 answers
  • Which is closest to the height of a cone that has a slant height of 16 inches and a radius of 6 inches?
    13·2 answers
  • If I want to read a 124-page book in 3 weeks how many pages would I have to read each day?
    7·1 answer
  • (2x + 8) (3x + 17) solve for x
    14·1 answer
  • Need hep with this question​
    9·1 answer
  • What is 52.738 rounded to the nearest whole number
    13·1 answer
  • What is the measure of 31°<br><br> I need help
    12·1 answer
  • PLEASE HELP! I WILL GIVE BRAINLIEST &lt;3
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!