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3 years ago

Complete these ordered pairs for this equation. (0, ), (-2, ), (4, ) y=2x

Mathematics

1 answer:

quester [9]3 years ago

3 0

Answer:

Part 1) The ordered pair is (0,0)

Part 2) The ordered pair is (-2,-4)

Part 3) The ordered pair is (4,8)

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $y/x=k$ or $y=kx$

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

In this problem we have a direct variation

$y=2x$

Complete the ordered pairs

Part 1) we have (0,?)

For x=0

Substitute in the equation and solve for y

$y=2(0)=0$

therefore

The ordered pair is (0,0)

Part 2) we have (-2,?)

For x=-2

Substitute in the equation and solve for y

$y=2(-2)=-4$

therefore

The ordered pair is (-2,-4)

Part 3) we have (4,?)

For x=4

Substitute in the equation and solve for y

$y=2(4)=8$

therefore

The ordered pair is (4,8)

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3 years ago

The sum of mike and Jordan’s age is 51. The difference in their ages is 17. If mike is older, what are the two men’s ages?

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Answer:

Step-by-step explanation:

You can make equations.

M+J=51

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3 years ago

Write the equation for the line that passes theough (-4 , 9) and is parallel to the given line

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Step-by-step explanation:

Equation is y = -3/4x + 12.

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3 years ago

Captain Sparrow and his pirate crew dug up several gold coins. They are dividing the coins amongst themselves so that each perso

Dahasolnce [82]

Answer: 150 coins

Step-by-step explanation: let the number of captain Sparrow and the crew = c

The number of gold = g

This mean each person will get g/c

If there were four fewer pirates, then each person would get 10 more coins means

g/(c - 4) = g/ c+ 10

cg = (c-4)(g+10c) ....... (1)

However, if there were 50 fewer coins, then each person would get 5 fewer coins.

(g - 50)/c = g/c - 5

g - 50 = g - 5c

5c = 50

c = 10

Substitute c in equation 1

cg = (c-4)(g+10c) ....... (1)

10g = (10 - 4)(g + 10×10)

10g = 6× (g + 100)

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3 years ago

Line j has an equation of y - 8 = -2/3(x+5). Line K is perpendicular to line j and passes + through (-6, -2). What is the equati

riadik2000 [5.3K]

Answer:

y = $\frac{3}{2}$ x + 7

Step-by-step explanation:

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b ) a point on the line

y - 8 = - $\frac{2}{3}$ (x + 5) ← is in point- slope form

with m = - $\frac{2}{3}$

given a line with slope m then the slope of a line perpendicular to it is

$m_{perpendicular}$ = - $\frac{1}{m}$ = - $\frac{1}{-\frac{2}{3} }$ = $\frac{3}{2}$

the equation of a line in slope- intercept form is

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

y = $\frac{3}{2}$ x + c ← is the partial equation

to find c substitute (- 6, - 2 ) into the partial equation

- 2 = - 9 + c ⇒ c = - 2 + 9 = 7

y = $\frac{3}{2}$ x + 7 ← equation of line K

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2 years ago