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
Ann [662]
3 years ago
7

Find the perimeter of the rectangle whose vertices are the points with coordinates (-1,-9), (4-9),(-1, -3), and (4, -3).

Mathematics
1 answer:
Airida [17]3 years ago
5 0

Answer:

The perimeter is 22

Step-by-step explanation:

Using a graph would be the easiest way to solve this type of problem (just count the units from each point and add them all up). Perimeter= 2l+2w

If graph paper is not available then you may need to use your head a little bit and imagine a graph. You want to first find the length (or width because either can be it) by finding the two points with similar x or y values.

One of the lengths can be found by using (-1,-9) and (4,-9) because they have similar y values. Next you want to find the distance between the two values so that you can find the length. When two points are in different quadrants (use the image for reference) you would add the x values by their absolute values in meaning the distance the number is from 0 or that you change the negative numbers into positive numbers. Add 1 and 4 and you get 5. The length is 5 which you then multiply by 2 and get the length of both sides.

Because you have the two lengths the width where both of the x values are similar and find the distance between the points. You can use the two points (-1,-9) and (-1,-3). Use the absolute value of the two y values and subtract them because they are in the same quadrant (refer to the image if needed). Use the largest absolute value and subtract the lowest absolute value so that you get 9-3 which would give you 6. The width is 6 and you then multiply it by 2 so that you get 12. 12 is the width of both sides of the rectangle. Add all 4 sides together to get a perimeter of 22.

You might be interested in
The figures are similar. Find x.
kipiarov [429]
6/9=x/21
x=21*6/9
=126/9
x=14
6 0
3 years ago
Given the graphs of f(x) =x -7 and g(x) =-5x-1, what is the solution to the equation f() = g(x)?
lions [1.4K]

Answer:

1

Step-by-step explanation:

x-7=-5x-1

x-(-5x)-7=-1

x+5x-7=-1

6x-7=-1

6x=-1+7

6x=6

x=6/6

x=1

8 0
2 years ago
6) the circular base of a hemisphere of radius 2 rests on the base of a square pyramid of height 6. the hemisphere is tangent to
Rasek [7]

The length of the square base is thus 2 x 3\sqrt{2}/2 = 3\sqrt{2} = A

<h3>What is hemisphere?</h3>

Consequently, a hemisphere is a 3D geometric object that is made up of half of a sphere, with one side being flat and the other being a bowl-like shape. It is created by precisely cutting a spherical along its diameter, leaving behind two identical hemispheres.

EXPLANATION; Let ABCDE be the pyramid with ABCD as the square base. Let O and M be the center of square ABCD and the midpoint of side AB respectively. Lastly, let the hemisphere be tangent to the triangular face ABE at P.

Notice that triangle EOM has a right angle at O. Since the hemisphere is tangent to the triangular face ABE at P, angle EPO is also 90 degree. Hence, triangle EOM is similar to triangle EPO.

OM/2 = 6/EP

OM = 6/EP x 2

OM = 6\sqrt{6^2 - 2^2} x 2 = 3\sqrt{2}/2}

The length of the square base is thus 2 x 3\sqrt{2}/2 = 3\sqrt{2} = A

To know more about Hemisphere, visit;

brainly.com/question/13625065?referrer=searchResults

#SPJ4

6 0
1 year ago
What is the difference between a sequence and a series? What is the difference between a geometric and an arithmetic sequence?
Neporo4naja [7]

Answer/Step-by-step explanation:

A series is events coming one after another but a sequence is in a certain order.

arithmetic is the difference between two constant terms while geometric is the ratio between two constant terms.

arithmetic: -

geometric: ÷

5 0
3 years ago
At which root does the graph of f(x) = (x – 5)3(x + 2)2 touch the x-axis?
Sauron [17]

Answer:

x = -2

Step-by-step explanation:

The root will touch the axis and bounce off when the exponent is even. In that case, that means (x + 2)² is the binomial that will bounce. Therefore, the root which bounces and touches the x-axis is x = -2.

5 0
3 years ago
Other questions:
  • A maintenance man has 12 keys on his key ring. if he tries the keys at random on a storage room door, discarding those that do n
    12·1 answer
  • 67% as a fraction in simplest form
    11·2 answers
  • Seven times a sum of a number and 1 is 63
    7·2 answers
  • Given the information below, write the equation in Standard Form.
    7·1 answer
  • Find the odds for and the odds against the event rolling a fair die and getting a 2, a 6, a 5 or a 1,
    13·1 answer
  • Please help me do my homework and receive 25 points.
    11·1 answer
  • Consider that the length of rectangle A is 21 cm and its width is 7 cm. Which rectangle is similar to rectangle A? A) A rectangl
    8·2 answers
  • Two workers paint lines for angled parking spaces. One worker paints a line so that m∠1=65. The other worker paints a line so th
    9·1 answer
  • 6/8 divide by 8/12<br> A. 9/2<br><br><br> B. 8/9<br><br><br> C. 9/8<br><br><br> D. 9/32
    5·1 answer
  • four-fifths of the people that kyle and melissa invited to their wedding responded indicating that they are coming however, of t
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!