Consider the equation y = 1.5x + 2. Find four pairs of x and y values that make
the equation true. Plot the points (x, y) on the coordinate plane.
Based on the graph, can this be a proportional relationship? Why or why not?

Consider The Equation Y = 1.5x + 2. Find Four Pairs Of X And Y Values That Makethe Equation True. Plot

Answers

Answer 1

Answer:

1. (2,5),(1,3.5),(4,8),(6,11)

2. This is not a proportional relationship (explanation below)

Step-by-step explanation:

For the plotting, if you take some random x values and multiply by 1.5 and add 2 to them.  

This can't be a proportional relationship. A proportional relationship means the x and y values' ratios have to stay the same. However, because 2 is added to 1.5x, the equation is not proportional.

Answer 2

The four x and y values that make the equation true are (0,2), (-1.333,0), (1,3.5), and (1,3.5).

What in mathematics is a proportionate relationship?When the ratios of two variables are equal, they form proportional relationships. Another way to think about them is that in a proportionate relationship, one variable is always equal to the constant value of the other.This constant is known as the "constant of proportionality." To find: The four sets of x and y values required to solve the equation. Put the (x, y) coordinates on a coordinate plane.

Therefore,

We select several x and y values,

1) Take x=0,

y = 1.5(0) + 2 =2.

The point is (0,2).

2) Take y=0,

0 = 1.5x + 2

x = -2/1.5 = -1.333

The point is (-1.333,0).

3) Take x=1,

y = 1.5(1) + 2 = 3.5

The point is (1,3.5).

4) Take y=1,

1 = 1.5x +2

1.5x = -1

x = -1/1.5 = -0.666.

The point is (-0.666,1).

The four sets of x and y numbers that make the equation true are (0,2), (-1.333,0), (1,3.5), and (0,2).

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Consider The Equation Y = 1.5x + 2. Find Four Pairs Of X And Y Values That Makethe Equation True. Plot

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

Answer:

y = - [tex]\frac{1}{3}[/tex] x + 5

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m= [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 6, 7) and (x₂, y₂ ) = (- 3, 6)

m = [tex]\frac{6-7}{-3+6}[/tex] = [tex]\frac{-1}{3}[/tex] = - [tex]\frac{1}{3}[/tex] , thus

y = - [tex]\frac{1}{3}[/tex] x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (- 3, 6 ), then

6 = 1 + c ⇒ c = 6 - 1 = 5

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Step-by-step explanation:

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Step-by-step explanation:

Please help me
An equation that has no solution is known as:
(1) impossible
(2) inconsistent
(3) incomplete
(4) an identity

Answers

inconsistent equation

If a || b, m<2 = 63°, and m<9 = 105°, give the measure of each angle.
m<1 =
M<3=
m<4=
m<5=
m<6=
m<7=
m<8=
m<10=
m<11=
m<12=
m<13=
m<14 =

Answers

Answer:

a.    m<1 = 105° - 63°                  m<1 = 42°

b. m<3 + m<2 + m<1 = 180°      m<3 = 75°

c. m<4 = m<1                             m<4 = 42°

d. m<5 = m<2                            m<5 = 63°

e. m<6 = m<3                             m<6 = 75°

f. m<7 = m<9                             m<7 = 105°

g. m<8 = m<6                             m<8 = 75°

h. m<10 = m<8                            m<8 = 75°

i. m<11 = m<4                               m<11 = 42°

j. m<12 = 180° - m<11                   m<12 = 138°

k. m<13 = m<11                            m<13 = 42°

l. m<14 = m<12                            m<14 = 138°

Step-by-step explanation:  Sorry if not all are correct

Applying the relationship existing between angle pairs, the measure of each angle in the image are:

m<1 = 42°

m<3 = 75°

m<4 = 42°

m<5 = 63°

m<6 = 75°

m<7 = 105°

m<8 =  75°

m<10 = 75°

m<11 = 42°

m<12 = 138°

m<13 = 42°

m<14 = 138°

Given that a || b, where:

m<2 = 63°m<9 = 105°, the missing angle measures will be determined as follows:

Find m<1:

m<1 + m<2 = m<9 (exterior interior angle theorem)

Substitute

m<1 + 63° = 105°

m<1 = 105° - 63°

m<1 = 42°

Find m<3:

m<1 + m<2 + m<3 = 180° (angles on a straight line)

Substitute

42° + 63°+ m<3 = 180°

105° + m<3 = 180°

m<3 = 180° - 105°

m<3 = 75°

Find m<4:

m<4 = m<1 (vertical angles theorem)

Substitute

m<4 = 42°

Find m<5:

m<5 = m<2 (vertical angles theorem)

Substitute

m<5 = 63°

Find m<6:

m<6 = m<3 (vertical angles theorem)

Substitute

m<6 = 75°

Find m<7:

m<7 + m<6 = 180° (corresponding angles theorem)

Substitute

m<7 + 75° = 180°

m<7 = 180° - 75°

m<7 = 105°

Find m<8:

m<8 = m<6 (alternate interior angles theorem)

Substitute

m<8 =  75°

Find m<10:

m<10 = m<6 (corresponding angles theorem)

Substitute

m<10 = 75°

Find m<11:

m<11 = m<4 (alternate interior angles theorem)

Substitute

m<11 = 42°

Find m<12:

m<12 = m<6 + m<5 (alternate interior angles theorem)

Substitute

m<12 = 75° + 63°

m<12 = 138°

Find m<13:

m<13 = m<11 (vertical angles theorem)

Substitute

m<13 = 42°

Find m<13:

m<14 = m<12 (vertical angles theorem)

Substitute

m<14 = 138°

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

114

Step-by-step explanation:

Ratio of red marbles to black marbles is 19:1. (Data from 3rd sentence)

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The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The expression is given below.

⇒ 36x² - 81y²

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