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2 years ago

Match the information on the left with the appropriate equation on the right.

Mathematics

1 answer:

Slav-nsk [51]2 years ago

5 0

The equation of the line passing the points (-2,3),(-3,4) is y = -x + 1 or x+y = 1

<h3>Equation of a line</h3>

A line is the shortest distance between two points. The equation of a line in slope-intercept form is expressed as;

y = mx + b

m is the slope

b is the y-intercept

Given that m=1, b=-3, the required equation will be y = x - 3 or x - y = 3

For the parameter m=1, (-1,2)

y - 2 =1(x+1)

y - 2 = x+1

y =x + 3

Hence the equation of the line for the parameters m=1, (-1,2) is y = x + 3

For the coordinates (-2,3),(-3,4)

Slope = 4-3/-3+2
Slope = -1

For the intercept;

4 =-1(-3) + b

b = 4 - 3

b = 1

Hence the equation of the line passing the points (-2,3),(-3,4) is y = -x + 1 or x+y = 1

Learn more on equation of a line here: brainly.com/question/18831322

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The state of Kansas has a sales tax of 5.3%, and the maximum rate a consumer can pay for local sales tax is 8.65%. What is the r

zvonat [6]

On the face of it, [5.3%, 8.65%].

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4 0

3 years ago

Read 2 more answers

Long division 40.8 divided by 4 <br> Plz I need to show my long division

VARVARA [1.3K]

Answer:

10.2

Step-by-step explanation:

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2 years ago

A volleyball player sets the ball in the air, and the height of the ball after t seconds is given in feet by h= -16^2+12t+6. A t

pychu [463]

Answer:

Step-by-step explanation:

The given function is

$h=-16t^2+12t+6$

The graph of this function is a parabola that opens downwards

The line $h(t)=8$ intersects this parabola, when

$t=0.5,t=0.25$

The teammate can spike the ball after 0.25 seconds or 0.5 seconds.

The two solutions are reasonable. When the volleyball is accelerating into the air, it passes a height of 8 after 0.25 seconds.

When the ball is dropping after it attains maximum height, it attains another height of 8 after 0.5 seconds again.

8 0

3 years ago

Use the following ordered pairs

Lynna [10]

The ordered pair for Y is (-4,-2)

Step-by-step explanation:

Given

X(-2,3)

Z(-6,-7)

As Y is the mid-point of XZ, it will divide Xz in two equal segments. Y is the mid-point of the segment.

Let (x_Y, y_Y) be the coordinates of the mid-point

Then

$(x_Y, y_Y) = (\frac{x_1+_2}{2} , \frac{y_1+y_2}{2})$

Putting the values

$=(frac{-2-6}{2} , \frac{3-7}{2})\\=(\frac{-8}{2} , \frac{-4}{2})\\=(-4, -2)$

Hence,

The ordered pair for Y is (-4,-2)

Keywords: Coordinate geometry, Mid-point

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3 0

3 years ago

What does the remainder theorem conclude given that f(x)x+3 has a remainder of 11?

Slav-nsk [51]

By the remainder theorem of polynomial division, the complete equation is f(-3) = 11

<h3>How to complete the blanks?</h3>

The equation is given as:

f(x)/x + 3

Set the divisor to 0

x + 3 = 0

Solve for x

x = -3

Given that the quotient has a remainder of 11.

It means that:

f(-3) = 11

Hence, the complete equation is f(-3) = 11

Read more about remainder theorem at:

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5 0

2 years ago