All categories

3 years ago

Please help me with this question!! Show steps

Mathematics

1 answer:

katovenus [111]3 years ago

3 0

Answer: Slope is -1

Using the slope formula, we get

m = (y2 - y1)/(x2 - x1)

m = (0 - 4)/(2 - (-2))

m = (0 - 4)/(2 + 2)

m = -4/4

m = -1

What's going on here is that we subtract the y values 0 and 4 to get -4. This means that we dropped 4 units vertically to go from A to B. This is the rise. So rise = -4

The run is 4 because we moved 4 units to the right to go from A to B. This is found algebraically when we subtracted the x coordinates, so 2 - (-2) = 2 + 2 = 4.

Slope = rise/run = -4/4 = -1

You have the correct answer, assuming you wrote -1. I think your teacher just marked it wrong because you forgot to show steps.

You might be interested in

Micah rows his boat on a river 4.48 miles downstream, with the current, in 0.32 hours. He rows back upstream the same distance,

ira [324]

The speed of the current that Micah rows his boat on would be 3 miles per hour assuming that he is rowing 4.48 miles downstream with the current, in 0.32 hours.

7 0

3 years ago

Read 2 more answers

For what value of x is sin x = cos 19°, where 0°< x < 90°? 38°

mrs_skeptik [129]

Sin x = cos (90-x)
90-x = 19
x = 71
The answer is 71 degrees.

5 0

3 years ago

Five years ago, Tim’s mom was three times Tim’s age today. Now their combined ages are 45. How old is Tim’s mom today?

klio [65]

His mother would be 30.

Hope this helps :)

4 0

3 years ago

Read 2 more answers

The students in Mr. Wilson's Physics class are making golf ball catapults. The

Mnenie [13.5K]

Answer:

Part a) About 48.6 feet

Part b) About 8.3 feet

Part c) The domain is $0 \leq x \leq 48.6\ ft$ and the range is $0 \leq y \leq 8.3\ ft$

Step-by-step explanation:

we have

$y=-0.014x^{2} +0.68x$

This is a vertical parabola open downward (the leading coefficient is negative)

The vertex represent a maximum

where

x is the ball's distance from the catapult in feet

y is the flight of the balls in feet

Part a) How far did the ball fly?

Find the x-intercepts or the roots of the quadratic equation

Remember that

The x-intercept is the value of x when the value of y is equal to zero

The formula to solve a quadratic equation of the form

$ax^{2} +bx+c=0$

is equal to

$x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$-0.014x^{2} +0.68x=0$

$a=-0.014\\b=0.68\\c=0$

substitute in the formula

$x=\frac{-0.68(+/-)\sqrt{0.68^{2}-4(-0.014)(0)}} {2(-0.014)}$

$x=\frac{-0.68(+/-)0.68} {(-0.028)}$

$x=\frac{-0.68(+)0.68} {(-0.028)}=0$

$x=\frac{-0.68(-)0.68} {(-0.028)}=48.6\ ft$

therefore

The ball flew about 48.6 feet

Part b) How high above the ground did the ball fly?

Find the maximum (vertex)

$y=-0.014x^{2} +0.68x$

Find out the derivative and equate to zero

$0=-0.028x +0.68$

Solve for x

$0.028x=0.68$

$x=24.3$

<em>Alternative method</em>

To determine the x-coordinate of the vertex, find out the midpoint between the x-intercepts

$x=(0+48.6)/2=24.3\ ft$

To determine the y-coordinate of the vertex substitute the value of x in the quadratic equation and solve for y

$y=-0.014(24.3)^{2} +0.68(24.3)$

$y=8.3\ ft$

the vertex is the point (24.3,8.3)

therefore

The ball flew above the ground about 8.3 feet

Part c) What is a reasonable domain and range for this function?

we know that

A reasonable domain is the distance between the two x-intercepts

$0 \leq x \leq 48.6\ ft$

All real numbers greater than or equal to 0 feet and less than or equal to 48.6 feet

A reasonable range is all real numbers greater than or equal to zero and less than or equal to the y-coordinate of the vertex

we have the interval -----> [0,8.3]

$0 \leq y \leq 8.3\ ft$

All real numbers greater than or equal to 0 feet and less than or equal to 8.3 feet

8 0

3 years ago

The circumference of a circle is 5 Pi cm. What is the area of the circle?

Ber [7]

Answer:

6.25 pi cm^2

Step-by-step explanation:

The formula for circumference is

C = 2*pi*r

We know the circumference is 5 pi

5 pi = 2 * pi *r

Divide each side by pi

5 pi/pi = 2 * pi *r/pi

5 = 2r

Divide by 2

5/2 = 2r/2

2.5 = r

We need to find the area of the circle

The area is given by

A = pi * r^2

= pi * (2/5)^2

= pi *6.25

= 6.25 pi cm^2

4 0

3 years ago

Read 2 more answers