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3 years ago

Write the equation of a line that goes through the points (-2, -5) and (3, -10)

1 answer:

7 0

The equation for slope between two points is (y1-y2)/x1-x2
Plug the points into the equation

-5-(-10)/-2-3
5/5
m=1
To find the equation, use y-y1=m(x-x1)
y-(-5)=1(x-(-2))
y+5=x+2
y=x+2-5
y=x-3

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Do supplementary angles form right angles? yes or no

Anuta_ua [19.1K]

Answer:

Yes i

Step-by-step explanation:

A supplementary angle can be two angles that sum up to 180 if you want you can have 2 angles that are 90 degrees that add up to 180 so therefore that would make a right angle.

6 0

3 years ago

What is the answer for | 3x - 2 | = 8 and | x + 1 | = 1

Umnica [9.8K]

X = -2

3 x -2 = -6
-6 -2= -8
|-8| = 8

-2 + 1= -1
|-1|=1

8 0

3 years ago

1. Which point on the axis satisfies the inequality y

grigory [225]

Answer:

1) Point $(1,0)$ -----> see the attached figure N $1$

2) The value of x is $4$

3) I quadrant

4) $(1,1)$

5) $y>-5x+3$

Step-by-step explanation:

Part 1)

we know that

If the point satisfy the inequality

then

the point must be included in the shaded area

The point $(1,0)$ is included in the shaded area

Part 2)

we have

$x-2y\geq 4$

see the attached figure N $2$

we know that

The value for x on the boundary line and the x axis is equal to the x-intercept of the line $x-2y= 4$

For $y=0$

Find the value of x

$x-2(0)= 4$

$x=4$

The solution is $x=4$

Part 3)

we have

$x\geq 0$ -----> inequality A

The solution of the inequality A is in the first and fourth quadrant

$y\geq 0$ -----> inequality B

The solution of the inequality B is in the first and second quadrant

the solution of the inequality A and the inequality B is the first quadrant

Part 4) Which ordered pair is a solution of the inequality?

we have

$y\geq 4x-5$

we know that

If a ordered pair is a solution of the inequality

then

the ordered pair must be satisfy the inequality

we're going to verify all the cases

case A) point $(3,4)$

Substitute the value of x and y in the inequality

$x=3,y=4$

$4\geq 4(3)-5$

$4\geq 7$ ------> is not true

therefore

the point $(3,4)$ is not a solution of the inequality

case B) point $(2,1)$

Substitute the value of x and y in the inequality

$x=2,y=1$

$1\geq 4(2)-5$

$1\geq 3$ ------> is not true

therefore

the point $(2,1)$ is not a solution of the inequality

case C) point $(3,0)$

Substitute the value of x and y in the inequality

$x=3,y=0$

$0\geq 4(3)-5$

$0\geq 7$ ------> is not true

therefore

the point $(3,0)$ is not a solution of the inequality

case D) point $(1,1)$

Substitute the value of x and y in the inequality

$x=1,y=1$

$1\geq 4(1)-5$

$1\geq -1$ ------> is true

therefore

the point $(1,1)$ is a solution of the inequality

Part 5) Write an inequality to match the graph

we know that

The equation of the line has a negative slope

The y-intercept is the point $(3,0)$

The x-intercept is a positive number

The solution is the shaded area above the dashed line

the equation of the line is $y=-5x+3$

The inequality is $y>-5x+3$

3 0

4 years ago

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1/4 carton of ice cream divided wvenly by 3

bixtya [17]

Answer:

Hello There!!

Step-by-step explanation:

You multiply the reciprocal which is 4 by 3 and that is 12.

Another method: 1/4 ÷3 (use KFC) so it is keep 3,flip the fraction so it is 4/1 them change the sign ÷ into multiplication so it is 3×4/1=12. Therefore,the answer is 12.

hope this helps,have a great day!!

~Pinky~

6 0

3 years ago

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Sari applied the distributive property using the greatest common factor to determine the expression that is equivalent to 84 + 4

valentina_108 [34]

Sari did not use the greatest common factor in the equation.

6 0

4 years ago

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