MATHEMATICS MIDDLE SCHOOL

What is 3/8 * 2/9A. 5/17




B. 1/12




C. 5/12




D. 1/17

Answers

Answer 1
Answer: The answer is B. 1/12 because 6/72=1/12

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Which of these graphs represents the graph of line y = -x + 1?

Answers

Answer:

See attached picture.

Step-by-step explanation:

To graph the equation, use the slope intercept form of the line to identify the slope and y-intercept.

y = -x + 1                          y = mx+b

m=-1 and b=1

This means start at 1 on the y-axis and plot a point. From this point (0,1), move down 1 unit and to the right 1 unit. Plot this point (0,1). Connect the two points.

-3x - 3/4 = 9 helpppppppp

Answers

-3x - 3/4 = 9
-3x - 3/4 + 3/4 = 9 + 3/4
-3x = 9 3/4
I change 9 3/4 to improper fraction
-3x = 39/4
-3x / -3 = 39/4 / -3
X = 39/4 x -1/3 (change division to multiplication so that you can complete the problem)
X = -39/12
You can convert that if you want to -3 3/12
So x = -3 3/12
Simplify to x = -3 1/4

1) the entrance way to the presidio is a rectangle topped by a half circle arch that is 3.2m wide. If the ratio of the area of the rectangle to the area of the arch is approximately 3:1, what it the height of the rectangular entranceway?

Answers

The answer to the height of the thing is 4.2

What numbers can you make using the digits 5,3, 8?

Answers

alot
5,3,8,35,53,38,83,358,385,583,538,835,853
that is not counting repeats
5,3,8,83,85,88,38,35,33,53,58,55

PLEASE HELP ASAP I NEED THIS NOW Sara graphs a line passing through points that represent a proportional relationship. Which set of points could be on the line that Sara graphs?A). (2,4),(0,2),(3,9)
B). (6,8),(0,0),(18,24)
C). (3,6),(4,8),(9,4)
D). (1,1),(2,1),(3,3)​

Answers

Answer: Option B.

Step-by-step explanation:

By definition, the graph of a proportional relationships is a straight line that passes through the origin (Remember the the origin is at (0,0)).

Then, the equation have the following form:

y=kx

Where "k" is the constant of proportionality (or its slope)

Then, since the Sara graphs a line that represent a proportional relationship, you can conclude that the line must pass through the point (0,0).

Then:

The set of points in Option A could not be on that line, because when x=0,y=2

The set of points (6,8),(0,0),(18,24) (Given in Option B) could be on the line that Sara graphs, because it has the point (0,0)

For the set of points shown in Option C and Option D, you can check if the slope is constant:

C)\ slope=(y)/(x)\n\na)\ slope=(6)/(3)=2\n\nb)\ slope=(8)/(4)=2\n\nc)\ slope=(4)/(9)

Since the slope is not constant, this set of ponts could not be on the line.

 D)\ slope=(y)/(x)\n\na)\ slope=(1)/(1)=1\n\nb)\ slope=(1)/(2)

 Since the slope is not constant, this set of ponts could not be on the line.

Set of points that could be on the line that Sara graphs are:

Option B). (6,8) , (0,0) , (18,24)

Further explanation

Solving linear equation mean calculating the unknown variable from the equation.

Let the linear equation : y = mx + c

If we draw the above equation on Cartesian Coordinates , it will be a straight line with :

m → gradient of the line

( 0 , c ) → y - intercept

Gradient of the line could also be calculated from two arbitrary points on line ( x₁ , y₁ ) and ( x₂ , y₂ ) with the formula :

\large {\boxed{m = (y_2 - y_1)/(x_2 - x_1)}}

If point ( x₁ , y₁ ) is on the line with gradient m , the equation of the line will be :

\large {\boxed{y - y_1 = m ( x - x_1 )}}

Let us tackle the problem.

\texttt{ }

This problem is about Directly Proportional.

If (x₁ , y₁ ) and (x₂ , y₂) are on the line that represent a proportional relationship, then :

\large {\boxed { y_1 : x_1 = y_2 : x_2 } }

Option A

Let:

(2,4) ⇒ (x₁ , y₁)

(3,9) ⇒ (x₂ , y₂)

4 : 2 \ne 9 : 3

2 : 1 \ne 3 : 1

2 \ne 3 → not proportional

\texttt{ }

Option B

Let:

(6,8) ⇒ (x₁ , y₁)

(18,24) ⇒ (x₂ , y₂)

8 : 6 = 24 : 18

4 : 3 = 4 : 3 → proportional

\texttt{ }

Option C

Let:

(3,6) ⇒ (x₁ , y₁)

(9,4) ⇒ (x₂ , y₂)

6 : 3 \ne 4 : 9

3 : 1 \ne 4 : 9 → not proportional

\texttt{ }

Option D

Let:

(1,1) ⇒ (x₁ , y₁)

(2,1) ⇒ (x₂ , y₂)

1 : 1 \ne 1 : 2 → not proportional

\texttt{ }

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Answer details

Grade: High School

Subject: Mathematics

Chapter: Linear Equations

Keywords: Linear , Equations , 1 , Variable , Line , Gradient , Point

#LearnWithBrainly

Y=x/3
What is the constant of proportionality?

Answers

can I have the brainliest

y = 1/3 x
the constant of proportionality is 1/3 or 0.3333333333
1/3 is the constant of proportionality?
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