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andreyandreev [35.5K]
3 years ago
12

Graph the system & write its solution 2x+y=-4 Y=-1/2x-1

Mathematics
1 answer:
xz_007 [3.2K]3 years ago
6 0

Answer:

The solution of system of equation is (-2,0)

Step-by-step explanation:

Given system of equation are

Equation 1 :      2x+y=(-4)

Equation 2 :      y+\frac{1}{2}x=(-1)

To plot the equation of line, we need at least two points

For Equation 1 : 2x+y=(-4)

Let x=0

2x+y=(-4)

2(0)+y=(-4)

y=(-4)

Let x=1

2x+y=(-4)

2(1)+y=(-4)

y=(-6)

Therefore,

The required points for equation is (0,-4) and (1,-6)

For Equation 2 : y+\frac{1}{2}x=(-1)

Let x=0

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

y+\frac{1}{2}(0)=(-1)

y=(-1)

Let x=2

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

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

y=(-2)

The required points for equation is (0,-1) and (2,-2)

Now, plot the graph using this points

From the graph,

The red line is equation 1 and blue line is equation 2

Since. The point of intersection is solution of system of equations

The solution of system of equation is (-2,0)

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ratio of a rectangle's length to its width is 4:7. If the longer side is 31.5in., find the width, the perimeter, and the area of
Nikitich [7]

Answer:

Step-by-step explanation:

Ratio of length : width = 4 : 7

Length = 4x

Width = 7x

Longer side = 31.5 in

⇒ 7x = 31.5

Divide both sides by 7

x = 31.5/7

x = 4.5

length = 4x

           = 4*4.5

         l = 18 in

width =  31.5

       w = 31.5 in

\boxed{ \text {Perimeter of  rectangle }= 2*l + 2*w}

                                      = 2*18 + 2*31.5

                                      = 36 +  63

                                      = 99 in

\boxed{ \text{Area of rectangle = l*w}}

                             = 18*31.5

                             =  567 in²

                             

3 0
2 years ago
Angle sum theory find Y
kompoz [17]
<h3>Answer:</h3>

25

<h3>Step-by-step explanation:</h3>

The angle sum theory says that the sum of all the interior angles in a triangle is 180 degrees.

Finding X

To solve for y, we must first find x. This way we know 2 of the interior angles. Luckily, angle x is a part of a linear pair.

  • Linear Pairs are 2 adjacent angles that create a straight line together. This means that the sum to 180 degrees.

Angle x and the angle with a measurement of 115 form a linear pair. Thus, we can create an equation to find x.

  • 115 + x = 180

By subtracting 115 from both sides we know that x = 65.

Solving for Y

Now that we know x, we can find y. We know that one of the interior angles is 65 and that the other is 90 degrees. The square marking the bottom angles in the middle show that they are right angles.

  • Right angles are usuaslly denoted with a square drawn in the angle and have a measurement of 90 degrees.

Lastly, we can create a formula to find y with the angle sum theory.

  • 90 + 65 + y = 180

Combine like terms

  • 155 + y = 180

Subtract 155 from both sides

  • y = 25

This means that the angle y is 25 degrees.

4 0
1 year ago
I forgot how I check to see if my answer is right :,) can anyone help me ;v; The answer is right I just forgot how to check it​
Novosadov [1.4K]

Answer:

see below

Step-by-step explanation:

To check your solution , plug the value of k into the original equation

6(7k-10) =24

k=2

6(7*2-10) =24

6(14-10) =24

6(4) =24

24=24

The solution is correct

3 0
3 years ago
Graph the equation.
Natalija [7]

Answer:

69

Step-by-step explanation:

nice ;)

7 0
3 years ago
Express as a fraction in the simplest form: 43.5%
frez [133]

Answer:

C

Step-by-step explanation:

43.5 x 10 = 435

435/1000 = 87/200 (simplified)

7 0
2 years ago
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