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abruzzese [7]
3 years ago
10

Which graph represents the solution set to this system of equations? Y=-1/2x+3 and y= 1/2x-1

Mathematics
2 answers:
Juliette [100K]3 years ago
7 0
Hey there, I hope I can be of assistance today!
While there are no graphs, I can provide you with the graph to answer your question assuming you have choices of graphs!

Hope this helps!

Bingel [31]3 years ago
4 0

Answer:

The graph is attached.

Step-by-step explanation:

We have been given a system of two equations. We are asked to find the graph that represents the solution set to this system of equations.

y=-\frac{1}{2}x+3...(1)

y=\frac{1}{2}x-1...(2)

First of all, we will find the solution of both equations by equating them as:  

\frac{1}{2}x-1=-\frac{1}{2}x+3

\frac{1}{2}x+\frac{1}{2}x-1=-\frac{1}{2}x+\frac{1}{2}x+3

\frac{1+1}{2}x-1=3

\frac{2}{2}x-1=3

x-1=3

x-1+1=3+1

x=4

Upon substituting x=4 in equation (1), we will get:

y=-\frac{1}{2}(4)+3

y=-2+3

y=1

Since the solution of our given system is (4,1), therefore, the both graphs will intersect at  (4,1).

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Mary walks from comer D to comer E to comer F on a city block that measures 264 feet wide and 900 feet long. Kate walks
Y_Kistochka [10]

Answer:

Difference between the distances traveled by Mary and Kate = 226 feet

Step-by-step explanation:

By applying Pythagoras theorem in right ΔDEF,

(DE)² + (EF)² = (DF)²

By substituting DE = 264 feet and EF = 900 feet

(264)² + (900)² = (DF)²

DF = √(69696+810000)

     = √879696

     = 937.92

Distance traveled by Kate diagonally = 938 feet

Distance traveled by Mary = DE + EF

                                            = 264 + 900

                                            = 1164 feet

Difference between the distances traveled by Mary and Kate = DF - (DE + EF)

= 1164 - 937.92

= 226.07

≈ 226 feet

3 0
2 years ago
Write the decimal 0.8¯¯¯ as a fraction in simplest form.
denis23 [38]

Answer: 4/5

Step-by-step explanation:

0.8 is 8 tenths which is 8/10 in fraction form

8/10 with both sides divided by two is 4/5

hope this helps u

4 0
3 years ago
6) The length of a rectangle is 2 inches more than twice its width. Write an
34kurt

Answer:

2w + 2

Step-by-step explanation:

Width = w

Twice its width  = 2*w =2w

2 inches more than twice its width = 2w + 2

Length = 2w + 2

5 0
3 years ago
Subtract this please ​
cupoosta [38]

Answer:

B. 3x^2 - 13x + 7

Step-by-step explanation:

6x^2 - 5x + 3 - (3x^2 + 8x - 4)

6x^2 - 5x + 3 - 3x^2 - 8x + 4

3x^2 - 13x + 7

4 0
3 years ago
Read 2 more answers
What is the surface area of a cylinder that is 5 centimeters high and has a diameter of 1.5 centimeters?
olchik [2.2K]

The surface area of cylinder is 8.625\pi cm^{2}, if the cylinder has 5 centimeters high and 1.5 cm of diameter.

Step-by-step explanation:

The given is,

          Cylinder has a 5 centimeters height

          Diameter of the cylinder is 1.5 centimeters

Step:1

          Formula for the surface area of cylinder is,

                     A=2\pi r h + 2\pi  r^{2}......................................(1)

          Where,

                   h - Height of cylinder

                   r - Radius of cylinder

        From the values of h and r,

                   r=\frac{d}{2}

                      = \frac{1.5}{2}

                   r  = 0.75 cm

       From the formula,

                      = ( 2 × \pi × 0.75 × 5 ) + ( 2 × \pi × 0.75^{2} )

                      = ( 7.5 \pi ) + ( 1.125 \pi )

                  A = 8.625\pi cm^{2}

Result:

        The surface area of cylinder is 8.625\pi cm^{2}, if the cylinder has 5 centimeters high and 1.5 cm of diameter.

3 0
3 years ago
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