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[tex]8x + y = -2[/tex]

[tex]4x - y = -14[/tex]

To solve this via the addition method, we just need the two equations together; that means that we will create a new equation where the terms on the left side of both equations are added together and are set equal to the sum of the terms on the right side of both equations:

[tex](8x + y) + (4x - y) = (-2) + (-14)[/tex]

[tex]8x + y + 4x - y = -2 - 14[/tex]

[tex](8x + 4x) + (y - y) = -16[/tex]

[tex]12x + 0 = -16[/tex]

[tex]x = \frac{-16}{12}[/tex]

[tex]x = \frac{-4}{3}[/tex]

Now that we have solved for one term, we can plug this value into either equation to get the value for the other:

[tex]4x - y = -14[/tex]

[tex]4(\frac{-4}{3}) - y = -14[/tex]

[tex]\frac{-16}{3} - y = -14[/tex]

[tex]\frac{-16}{3} + 14 = y[/tex]

[tex]\frac{26}{3} = y[/tex]

This means the solution to the system of equations is [tex](-\frac{4}{3}, \frac{26}{3})[/tex]

Answer:

Step-by-step explanation:

8x + y = -2

4x - y = 14

12x = 12

x = 1

8 + y = -2

y = -10

(1, -10)

Answer:

42 square units

Step-by-step explanation:

Hello There!

The area of a trapezoid can be found using this formula

[tex]a = \frac{a + b}{2} h[/tex]

where a and b are bases and h is height

if you look at the graph we can see that the lines are counting by 2 units

knowing this we want to find the dimensions

the shown trapezoid has the following dimensions

a =2*2 or 4

b=5*2 or 10

h=3*2 or 6

having found this information we then plug it into the formula

[tex]a = \frac{4+ 10}{2} 6 \\ 4 + 10 = 14 \\ \frac{14}{2} = 7 \\ 7 \times 6 = 42[/tex]

so we can conclude that the area of the trapezoid is 42 square units

Answer:

x=.5, y=-5.5

Step-by-step explanation:

7x+y=5, 7x+y=-2

Simplifing 7x+y=5 first

7x+y=5

y=-7x+5

Next, 7x+y=-2

7x+y=-2

y=-7x-2

Plugging in -7x+5 into y

-7x+5=-7x-2

-14x=-7

x=.5

Plugging .5 into y=-7x-2

y=-7(.5)-2

y=-3.5-2

y=-5.5

I used substitution if your couldn't tell

Hope it helps!

Brainliest maybe? :o

Answer:

Top box is +, left box is +, right box is -, bottom box is +

Step-by-step explanation:

Hopefully that makes sense lol

Answer:

You donf have the picture shown, how is anybody supposed to work on it

Answer:

the second one and third one

Step-by-step explanation:

Answer:

y = 28

Step-by-step explanation:

28 = y

28 = 28

the angles are equal to each other because they are vertical angles

Answer:72

Step-by-step explanation:

72+37=109

180-109=72

I IS MATH

Answer:

72°+37°+x°=180°(being exterior angles)

109°+x°=180°

x°=180°-109°

x°=71°

Answer:

(-5/2, 3/2)

Step-by-step explanation:

[(-5.5+.5)/2, (9.1-6.1)/2)} = (-5/2, 3/2)

Answer: In one simulated SRS of 100 students, the average GPA was x= 3.45

Step-by-step explanation:

Each dot in the dot plot in representation of one sample of 100 students, also I just turned it in

Answer:

A

Step-by-step explanation:

EDGE

Answer:

the second answer is the answer

Answer:

13.7

Step-by-step explanation:

Answer:

x=36

Step-by-step explanation:

22+x=58

22-22= cross that out

58-22= 36

x=36

Answer:

= 41.32N  

To find N amount

You find the kg weight then times it by 10 then divide that amount by 1/2

So that 180pounds = 81.6466 x 10kg

x10 = 816.466

81.6466 / 2 = 40.8233

sin(30) = 40.8233/T

T =  40.8233/sin (30) =  N / sin(30) = Tension = calculator = -41.3178070464 = 41.32 N

Answer:

D. 14448

Step-by-step explanation:

S = Base area + lateral surface area

  =2*(1/2*(56*42)) + (56+42+70)*72

  = 2352 + 12096

  = 14448

Answer:

a

Step-by-step explanation:

you can do 16 divided by 2 to get the answer

Answer:

1. c = 5.75b + 25

2. y = -1/3 + 5

3. y = -1/2 + 5

4. y = I can't tell what the numbers are from the photo, but (B) will be where the line is on the y axis of the graph.

Y = MX + (B)

Edit: Okay assuming the graph is going in the directions by one, meaning 1, 2, 3, or -1, -2, -3, and not any other sequence.

The answer for question will be y = 1/2x -1

Answer:

y = x -7

Step-by-step explanation:

y2 - y1 / x2 - x1

-5 - (-2) / 2 - 5

-3/-3

1

y = x + b

-2 = 5 + b

-7 = b

y = -7

y = x -7

Answer:

Karl should use 3/16 cup of chili

Step-by-step explanation:

From the question, we are told that the recipe calls for 3/8 to be used

However, Karl wants to use half of this

what we have to simply do here is to divide what was stated in the recipe to be used by 2

We can either divide by 2 or simply multiply by 1/2

Mathematically, we have this as;

3/8 * 1/2 = 3/16 of a cup

Answer:

1.9cm

Step-by-step explanation:

79mm into cm is 7.9cm

As 10mm is 1 cm

Then you do 7.9 - 6 = 1.9cm

Preface: We know that the radius of the cylinder is 2 inches and the height is 7 inches. Using the surface area formula (for a cylindrical figure), which has been provided below, we can, through calculations, figure out that the surface area of the cylinder is...

Formula: A = 2π × r × h + 2πr2= 2πr (h + r)

Variables: The "A" is the answer; "R" represents the radius and the "H" is the variable for the height of the cylinder. For the purpose of this question, we'll substitute 3.14 for pi (π).

Surface Area ≈ 113.1, or if you want the exact solution: 113.09734.

Answer:

8.16666666667

Step-by-step explanation:

Answer:

28.8 inches

Step-by-step explanation:

We solve the above question using Proportion

The ratio of one side of ΔABC to the corresponding side of similar ΔDEF is 3:5.

ΔABC/ΔDEF = 3/5

Hence,

The perimeter of ΔDEF is 48 inches.

Let the perimeter of ΔABC = x inches

3/5 = x/48

Cross Multiply

5x = 48 × 3

x = 48 × 3/5

x = 28.8 inches

The perimeter of ΔABC is 28.8 inches

Answer:

x = 3/5√10

y = 2√10

Step-by-step explanation:

using the Pythagorean theorem:

y² = 7² - 3² = 49 - 9

y² = 40

y = 2√10

3/4.5 = y/5x

4.5y = 15x

substitute for y:

4.5(2√10) = 15x

15x = 9√10

divide both sides of the equation by 15:

x = (9√10)/15 = 3/5√10

Answer:

i need this same answer:(

Step-by-step explanation:

Answer:

b.) -4

Step-by-step explanation:

You can subtract 9 from -5 to get -14. then when you add 10 to that, you will get -4.

Answer:

Step-by-step explanation:

Very simple.

p - 5 = 19

So to take out the -5 on that side, you must also do the same thing to the other side. So adding 5 in one side of the equal sign would mean you have to do the same thing on the other side of the equal sign.

SO:

p-5 +5 = 19+5

p = 24