1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Sophie [7]
3 years ago
5

Match the equivalent expressions.

Mathematics
1 answer:
Arte-miy333 [17]3 years ago
7 0

Answer:

see below

Step-by-step explanation:

5(x + y) + 6(x − y)

Distribute

5x+ 5y + 6x -6y

Combine like terms

11x -y

(5x − 3y) − x + 3x − 5y

Combine like terms

5x -x +3x   -3y -5y

7x -8y

4(x + y) − 3(x + y)

Distribute

4x +4y -3x -3y

Combine like terms

x -y

x − 4x + 6y + (14x − 5y)

Combine like terms

x -4x +14x    +6y -5y

11x    +y

3x + 3y + 2(2x − y)

Distribute

3x+3y +4x -2y

Combine like terms

7x +y

You might be interested in
Helpp meeee i don't understand constant of proportionality (don't put pictures i can't see).
Vikentia [17]

Answer:

A) 1/5

Step-by-step explanation:

Points on the graph: (10, 2) and (20, 4)

Slope:

m=(y2-y1)/(x2-x1)

m=(4-2)/(20-10)

m= 2/10

m = 1/5

8 0
2 years ago
What is the equation of the line that passes through the point (4, 3) and is perpendicular to the line x + y = 4?
zimovet [89]
ANSWER

y - x = - 1

EXPLANATION

The required equation passes through:

(4,3) and is perpendicular to x+y=4.

Rewrite the given equation in slope-intercept form:

y = - x + 4

The slope of this line is -1.

The slope of the required line is perpendicular to this line, so we find the negative reciprocal of this slope.

m= - \frac{1}{ - 1} = 1

The equation of the line can be found using:

y - y_1 = m(x - x_1)

We substitute the slope and point to obtain:

y - 3 = 1(x - 4)

We simplify to get:

y - 3 = x - 4

y - x = - 4 + 3

The required equation is

y - x = - 1
5 0
3 years ago
Y varies directly as x . If y is 2 when x is 8, then the constant of variation is 1/4 . True or False
dedylja [7]

When y = 2, x = 8.

This can be written as: 2/8.

Simplified: 1/4

True


3 0
3 years ago
Read 2 more answers
7/8 is equal to what fraction
34kurt

Answer:

7/8 = 14/16

Step-by-step explanation:

7/8 * 2/2 = 14/16

8 0
3 years ago
Read 2 more answers
6. 4x + 2y = 16<br> | 5x - 2y = 38
Zolol [24]

Answer:

1. Slope = -4.000/2.000 = -2.000

 x-intercept = 8/2 = 4

 y-intercept = 8/1 = 8.00000

2.  Slope = 5.000/2.000 = 2.500

 x-intercept = 38/5 = 7.60000

 y-intercept = 38/-2 = 19/-1 = -19.00000

Step-by-step explanation:

1.

Step  1  :

Pulling out like terms :

1.1     Pull out like factors :

  4x + 2y - 16  =   2 • (2x + y - 8)

Equation at the end of step  1  :

Step  2  :

Equations which are never true :

2.1      Solve :    2   =  0

This equation has no solution.

A a non-zero constant never equals zero.

Equation of a Straight Line

2.2     Solve   2x+y-8  = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line  2x+y-8  = 0 and calculate its properties

Graph of a Straight Line :

 

Calculate the Y-Intercept :

Notice that when x = 0 the value of y is 8/1 so this line "cuts" the y axis at y= 8.00000

 y-intercept = 8/1  =  8.00000

Calculate the X-Intercept :

When y = 0 the value of x is 4/1 Our line therefore "cuts" the x axis at x= 4.00000

 x-intercept = 8/2  =  4

Calculate the Slope :

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 8.000 and for x=2.000, the value of y is 4.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 4.000 - 8.000 = -4.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

   Slope     = -4.000/2.000 = -2.000

Geometric figure: Straight Line

 Slope = -4.000/2.000 = -2.000

 x-intercept = 8/2 = 4

 y-intercept = 8/1 = 8.00000

Processing ends successfully

2.

Step  1  :

Equation of a Straight Line

1.1     Solve   5x-2y-38  = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line  5x-2y-38  = 0 and calculate its properties

Graph of a Straight Line :

 

Calculate the Y-Intercept :

Notice that when x = 0 the value of y is 19/-1 so this line "cuts" the y axis at y=-19.00000

 y-intercept = 38/-2 = 19/-1  = -19.00000

Calculate the X-Intercept :

When y = 0 the value of x is 38/5 Our line therefore "cuts" the x axis at x= 7.60000

 x-intercept = 38/5  =  7.60000

Calculate the Slope :

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is -19.000 and for x=2.000, the value of y is -14.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of -14.000 - (-19.000) = 5.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

   Slope     =  5.000/2.000 =  2.500

Geometric figure: Straight Line

 Slope = 5.000/2.000 = 2.500

 x-intercept = 38/5 = 7.60000

 y-intercept = 38/-2 = 19/-1 = -19.00000

Processing ends successfully

plz mark me as brainliest :)

4 0
3 years ago
Other questions:
  • While in Europe, if you drive 117 km per day, how much money would you spend on gas in one week if gas costs 1.10 euros per lite
    9·1 answer
  • Chelsea and Pedro manipulated the rational expression \dfrac{14k^3 + 7k^2}{7k^3 + 14k^2} 7k 3 +14k 2 14k 3 +7k 2 ​ start fractio
    7·1 answer
  • Field book of an agricultural land is given in the figure. It is divided into 4 plots . Plot I is a right triangle , plot II is
    10·1 answer
  • Please help me answer this question. I will give 15 points.
    8·1 answer
  • Simplify the expression. -|-15|=__​
    9·2 answers
  • Can someone help me out pls
    14·1 answer
  • 18) y-(4- x - y + 2); use x = 3, and y = 2
    6·2 answers
  • What is the distance between (0, 0) and (0, - 9) on the vertical line
    13·2 answers
  • The following estimated regression equation was developed for a model involving two independent variables.
    6·1 answer
  • . If f(x) = 7x2 – 3x + 7, find f(2) + f(–1) + f(0).​
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!