Write an equation in the form Ax+By=C, given that m=2/3 and y intercept is (0,-3) where a,b, And c are integers

Answers

Answer 1
Answer:

Answer:

2x - 3y = 9

Step-by-step explanation:

The slope-intercept form of an equation of a line:

y=mx+b

m - slope

b - y-intercept

We have

m=(2)/(3),\ (0,\ -3)\ro b=-3

Substitute:

y=(2)/(3)x-3

Convert to the standard form (Ax + By = C):

y=(2)/(3)x-3               multiply both sides by 3

3y=3\!\!\!\!\diagup\cdot(2)/(3\!\!\!\!\diagup)x-(3)(3)

3y=2x-9                subtract 2x from both sides

-2x+3y=-9               change the signs

2x-3y=9


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In quadrilateral ABCD, angle A=(4x+10), Angle B=108, angle C= 3x, and angle D=67. Solve for x.

Answers

as the sum of angels in quadrilateral = 360°
so , A+B+C+D = 360
hence, x = 25

The length of a room is 5 more than twice its width. If the total perimeter is 40 meters, what is the width of the room? Simplify the following expression:

Answers

Answer:

width = 5 m

Step-by-step explanation:

let the width of the room be w then the length = 2w + 5 ( that is 5 more than twice its width )

perimeter is the sum of the sides

for a rectangular room the perimeter is calculated as

perimeter = 2 ( length + width ) = 2(2w + 5 + w) = 2(3w + 5)

given the perimeter is 40 m , then equating

2(3w + 5) = 40 ( divide both sides by 2 )

3w + 5 = 20 ( subtract 5 from both sides )

3w = 15 ( divide both sides by 3 )

w = 5

that is the width of the room is 5 m

What is the probability that a student who bought juice chosen at random purchased grape flavor

Answers

Answer: 0.2

Step-by-step explanation: This answer is correct and the answer that the current person put is wrong, it isn’t even an answer choice.

Answer:

50% chance

Step-by-step explanation:

Translate the sentence into an inequality.Nine subtracted from the product of 5 and a number is at least -28

Answers

The given sentence into an inequality is 5x-9≥-28.

What are inequalities?

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

Given that, nine subtracted from the product of 5 and a number is at least -28.

Let the unknown number be x.

nine subtracted from the product of 5 and a number

5x-9

So, inequality is 5x-9≥-28

Now, 5x≥-28+9

5x≥-19

x≥-19/5

x≥-3.8

Therefore, the given sentence into an inequality is 5x-9≥-28.

To learn more about the inequalities visit:

brainly.com/question/20383699.

#SPJ5

Answer:

5x - 9 ≥ -28

Simplifying gives:

x ≥ -3.8

Step-by-step explanation:

Nine subtracted from the product of 5 and a number is at least -28

Let the number be x so;

5x - 9 ≥ -28

5x ≥ -28 + 9

5x ≥ -19

x ≥ -19/5

x ≥ -3.8

Mrs hudson can grade 1 1/3 math papers in 8 seconds how many math papers can she grade per second

Answers

Answer:

Step-by-step explanation:

the rate is 1 1/3 math papers per every 8 seconds so you could put it as a fraction: (1 1/3 )/8. you would then divide to get 1/6 math papers per second as your answer

a square with an area of 25 in.^2 is plotted on a grid so that the bottom-left corner is at the origin. The side of the square are horizontal and vertical. A reflection over what line maps the square onto itself?

Answers

Answer:

Reflection about the vertical line x = 2.5 inches will map the square unto itself

Step-by-step explanation:

The given parameters are;

The area of the square = 25 in²

The orientation of the sides of the square are horizontal and vertical

Therefore, we have;

The area, A, of the square given by the following relation;

A = Side²

A = 25 in²

Therefore;

The area of the square = 25 = side²

The length of the sides of the square = √A = √25 = 5

The length of the sides of the square = 5 inches

The reflection of a figure that maps the figure unto itself is a reflection along the line of symmetry

One of the line of symmetry that divides the square into two similar halves is the vertical straight that passes half way through the horizontal side, which is the point 2.5 inches to the right on the x-axis with the coordinates (2.5, 0)

Therefore, reflection about the line x = 2.5 inches will map the square unto itself.