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Korvikt [17]
2 years ago
12

Graph the system of equations. Then determine whether the system has no solution, one solution, or infinitely many solutions. If

the system has one solution, name it.
y=-5x+1
y=-2x-2

Mathematics
1 answer:
pav-90 [236]2 years ago
4 0

Answer:

Second option: One solution. Independent.

Step-by-step explanation:

The equation of the line in Slope-Intercept form is:

y=mx+b

Where "m" is the slope and "b" is the y-intercept.

Since the equations of the system have this form, we know that they are lines.

We can identify that the y-intercept of the first equation y=-5x+1 is:

b=1

Now we need to find the x-intercept. Substitute y=0 and solve for "x":

0=-5x+1\\\\5x=1\\\\x=\frac{1}{5}=0.2

Then, we can graph the first line which passess through the points (0,1) and (0.2,0). Observe the graph attached.

The y-intercept of the second equation y=-2x-2 is:

b=-2

Now we need to find the x-intercept. Substitute y=0 and solve for "x":

0=-2x-2\\\\2x=-2\\\\x=\frac{-2}{2}=-1

Then, we can graph the second line, which passess through the points (0,-2) and (-1,0).

You can observe in the graph that the lines intersect at the point (1,-4). Therefore, that point is the solution of the system of equations.

Since the lines intersect, then there is one solution that is true for both equations. It is independent

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The perimeter of a triangle with two equal sides is 50 cm. If its base were lengthened by 3 cm and each leg were shortened by 4
Nataly [62]

Answer:

Base of the original triangle is 12 cm.

Step-by-step explanation:

Let base of triangle be x  

two equal legs  of triangles by y

therefore perimeter of triangle

                       x+y+y = 50 or x+2y =50

according to the question

 if base is x+3 and leg is y-4

then both are equal

   that is x+3 = y-4

            y-x = 7 or y =x+7

   x+2y =50

   x+2(x+7) = 50

    x+2x +14 =50

     3x +14 =50

     3x = 50 -14

      3x = 36

      x = 12

therefore base of the original  triangle is 12 cm                    

6 0
3 years ago
please help me i need this done today report cards are coming out this Friday i tried solving them but i can't please help mee
k0ka [10]

Answer:

156.9 pls brain list me pla

5 0
2 years ago
Please help me on this will give you brainliest
NNADVOKAT [17]

Answer:

Step-by-step explanation:

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7 0
2 years ago
How did the temperature change if: at first it decreased by 60% and then increased by 80%. PLEASE NEED HELP!
Sergio039 [100]

The temperature decreased by 28%

Step-by-step explanation:

How did the temperature change if :

  • At first it decreased by 60%
  • Then increased by 80%

Assume that the temperature before decreasing is 100%

∵ The temperature before decreasing = 100%

∵ It decreased by 60%

→  Before decreasing  :  decreasing  :    after decreasing

→  100%                         :  60%              :    100% - 60% = 40%

∴ The temperature after decreasing = 40%

Assume that the temperature after decreasing is 100%

∵ The temperature after decreasing = 100%

∵ It increased by 80%

By using the ratio method

→  After decreasing  :  increasing  :    after increasing

→  100%                      :  80%             :   100% + 80% = 180%

→  40%                        :                       :   x%

By using cross multiplication

∴ 100% × x% = 40% × 180%

- Divide both sides by 100%

∴ x% = \frac{(40)(180)}{100}

∴ x% = 72%

∵ At first the temperature = 100%

∵ At last the temperature = 72%

∵ The first the temperature > the last the temperature

∴ The decreasing in temperature = 100% - 72% = 28%

The temperature decreased by 28%

Learn more:

You can learn more about ratio in brainly.com/question/2707032

#LearnwithBrainly

5 0
3 years ago
A brownie recipe calls 1 2/3 cups of nuts. Ethan wants to use only half of this amount.
7nadin3 [17]

c. 5/6 cups

Step-by-step explanation:

1 2/3 = 5/3

5/3= 1.666

1.66÷2= 0.833

When we divide. the number should equal 0.833

8/3= 2.66 nope

10/3= 3.33 nope

5/6= 0.833 yes

6/5= 1.2 nope

3 0
2 years ago
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