Mathematics, 22.07.2019 23:20 yah2muchh

Agraphed line shown shows y=5x-10
which equation, when graphed with the given equation, will form a system that has no solution?
a. y= -5x+10
b. y = 5(x+2)
c. y = 5(x-2)
d. y = -5x-10

Answers: 3

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Answers

Answer from: jamiezanfardino1464

Option B. y = 5(x+2)

Step-by-step explanation:

we have

y=5x-10

The slope of the given line is m=5

Remember that

If two lines are parallel, then their slopes are the same

If a system of linear equations has no solutions, then the lines of the system must be parallel lines with different y-intercept

Verify each case

case A) y=-5x+10

The slope of this line is m=-5

The slopes are different

therefore

This equation, when graphed with the given equation, will form a system that has one solution

case B) y=5(x+2)

y=5x+10

The slope of this equation is the same of the given equation and their y-intercepts are different

therefore

The system has no solutions

case C) y=5(x-2)

y=5x-10

This equation is the same of the given equation

therefore

The system has infinitely solutions

case D) y=-5x-10

The slope of this line is m=-5

The slopes are different

therefore

This equation, when graphed with the given equation, will form a system that has one solution

Answer from: Quest

yes. we do proportions in probabilities.

Answer from: Quest

the system of inequity is

$y\leq -x+4$

$3y> x$

step-by-step explanation:

from the given graph it is noticed that we have two related lines. one is solid and another is dashed.

if a line passing through two points, then the equation of line is

$y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)$

the solid line passing through the points (0,4) and (4,0).

$y-4=\frac{0-4}{4-0}(x-0)$

$y=-x+4$

the related equation of solid line is $y=-x+4$ .

similarly, find the related equation of dashed line. the dashed liune passing through the points (0,0) and (3,1).

$y-0=\frac{0-1}{3-0}(x-0)$

$3y=x$

the related equation of dashed line is $3y=x$

from the given graph it is noticed that the point (0,1) lies on the shaded region, therefore the point (0,1) must be satisfied by the related equations.

check the related equations by the point (0,1).

$1=-0+4$

$1=4$

this statement is true if the sign of inequality is < instead of equality. since it is an solid line therefore the sign of inequality will be $\leq$ . the required inequality is

$y\leq -x+4$

similarly, check the second related equation.

$3(1)=0$

it is a dashed line, so this statement is true if the sign of inequality is > . the required inequality is

$3y> x$

15 points write a system of inequalities to represent the shaded portion of the graph

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