2x+3y=53
3x-y=19
what are the values of x and y

Answer:

The equation of the straight line is  x - 2y +6 =0

Step-by-step explanation:

Explanation:-

Given a point ( 2, 4) and slope m =  [tex]\frac{1}{2}[/tex]

The equation of the straight line passing through the point and having slope 'm'

          y - y₁ = m ( x - x₁)

           y - 4 = [tex]\frac{1}{2}[/tex] ( x - 2)

          2( y -4) = ( x-2)

          2 y - 8 = x -2

          x - 2 y - 2 + 8 =0

          x - 2y + 6 =0

The equation of the straight line is  x - 2y +6 =0

The answer is:

y = 1/2x + 5

Work/explanation:

Since I have a point and the slope, I will write the equation in point slope form.

Point slope is

[tex]\sf{y-y_1=m(x-x_1)}[/tex]

where m = slope and (x₁, y₁) is a point on the line

Plug in the data

[tex]\sf{y-4=\dfrac{1}{2}(x-2)}[/tex]

Now let's simplify to slope intercept

                    [tex]\large\begin{gathered}\sf{y-4=\dfrac{1}{2}x+1}\\\sf{y=\dfrac{1}{2}x+1+4}\\\sf{y=\dfrac{1}{2}x+5}\end{gathered}[/tex]

Answer:

1.64

Step-by-step explanation:

8.20 / 5 = 1.64

Answer:

52

Step-by-step explanation:

Answer:

(-4,2)

Step-by-step explanation:

The line going horizontal is the X-axis. And they line going up and down is the y-axis. The way you write the location of a point is (X,Y). Hope this helps!!

Answer:

????????????????????

Answer:

A = 101 degrees         d = 97 degrees

Step-by-step explanation:

180 - 79 = 101    as angles in a straight line = 180

101 + 79 + 83 = 263

360 - 263 = 97 degrees

The correct answer would be B. (8×1/2)1/3.

Step-by-step explanation:

8 * [(1/2) * (1/3)]

= [8 * (1/2)] * (1/3)

= 4 * (1/3)

= 4/3.

The answer is B because it is easier to calculate 8 * (1/2), which is dividing 8 by 2 to get 4.

Answer:

2.0 , 2/1.

1.35 , 1  7/20.

1.52, 1 13/25

0.0003, 3/10000

0.0045, 9/2000

Step-by-step explanation:

1.35 =  1 35/100 = 1 7/20

1.52 = 1 52/100 = 1 13/25

0.0045 = 45/10000 = 1 9/2000.

Answer:

always true

Step-by-step explanation:

Given

2(x + 3) = 5x + 6 - 3x ← distribute left side

2x + 6 = 2x + 6

Since both sides are equal then any real value of x is a solution.

Thus the equation is always true

Answer:

1. x = 21°

2. x = 30°

3. x = 7°

5 x = 3

Step-by-step explanation:

Solving for x

1. 15+ 5x + 60° = 180°

75 + 5x = 180°

5x = 180 - 75

5x = 105

x = 105/5

x = 21°

2. These angle are vertical angles

Hence:

13x - 5 = 125°

13x = 125° + 5

13x = 130

x = 130/3

x = 30°

3. 8x - 1 = 55°

8x = 55 + 1

8x = 56

x = 56/8

x = 7°

5. These angles are angles in a straight line

17x - 1 + 130° = 180°

17x + 129° = 180°

17x = 180° - 129°

17x = 51

x = 51/17

x = 3°

Answer:

260 miles

Step-by-step explanation:

Given that:

Distance covered in 7 hours = 455 miles

Number of miles train will travel in 4 hours

Average travel speed per hour :

Distance traveled / time taken

455 miles / 7 hours

= 65 miles per hour

Number of miles traveled in 4 hours :

Average Speed per hour * time

(65 * 4) = 260 miles

Answer:

yes

Step-by-step explanation:

Answer:

the answer is b

Step-by-step explanation:

Answer:

Step-by-step explanation:

85-x=100

85 represents sarah's hw

x represent Emily's hw

100 represents total completion

Answer:

85 + x

C is the answer

Step-by-step explanation:

Answer:

1st one

Step-by-step explanation:

Answer:

B. 6 sides

Step-by-step explanation:

Interior angles of a n side Regular Polygon = (180n – 360) / n

120 = (180n – 360) / n

120n =180n - 360

180n - 120n = 360

60n = 360

n = 6

check: sum of interior angles of 6 side polygon: 180 * (6-2) = 720

720/6 = 120

I think the answer is A. 3.

B. no, to big a number

C. no, to small a number

D. no, again, too big a number.

Have a nice day and hope this helps!

Answer:

25.13in³

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

5+0.65t=10+0.45t

0.25t=5

t=20

Answer:

y=3x+4

Step-by-step explanation:

First, you want to get the 'y' by itself.

5y=15x+20

Now, you want to divide everything by 5.

y=3x+4

Answer:

The answer is D on edg 2020

Step-by-step explanation:

brainliest plz

Answer:

Its D

Step-by-step explanation:

∠2 ≅ ∠4

Answer: 14

Step-by-step explanation: The perimeter is all of the side added together. When finding the perimeter of a rectangle the opposing sides have the same value. So the equation would be 2(12) + 2(a) = 52. 12 x 2 is 24. 52- 24 is 28 and youre left with 28 = 2(a). You divide each side by 2 and get 14 = a

Answer:

-1/6

Step-by-step explanation:

To get the slope we need the equation in the form y=mx+c, and m is the slope.

2x+12y=192

12y = -2x + 192

y = -2/12 x + 16

-2/12 is the slope but this can be simplified to -1/6

Answer:

type the variable of that segment into the boxes correspondingly

Step-by-step explanation:

Answer:

A: 11 cents per ounce

B: 11.5 cents per ounce

C: 14 cents per ounce

Bag A would be the best buy

Answer:

m = 5

Step-by-step explanation:

2x5 is 10

-4 + 10 = 6

Answer:

Isolate the variable by dividing each side by factors that don't contain the variable.

m=5

Step-by-step explanation:

Answer:

Marsha earned interest = $850

Step-by-step explanation:

Amount deposited = $8500

Time = 2 years

Interest rate = 5% = 0.05

We need to find how much did Marsha earn in interest

The formula use is: [tex]I=P\times r \times t[/tex]

Where I is interest earned, P is amount deposited, r is interest rate and t is time.

Putting values and finding interest.

[tex]I=P\times r \times t\\I=8500\times 2\times 0.05\\I=850[/tex]

So, Marsha earned interest = $850

Answer:

-8

Step-by-step explanation:

10 -2b^2

Let b=-3

10 - 2( -3)^2

Do the exponent first

10 -2(9)

Multiply

10 -18

Subtract

-8

Answer:

- 8

Step-by-step explanation:

Given

10 - 2b² ← substitute b = - 3 into the expression

= 10 - 2(- 3)²

= 10 - 2(9)

= 10 - 18

= - 8