Pleasee help

Write the equation in slope-intercept form, for the line that would coincide with (be in line with) line segment AB.

Llana [10]

Answer:

$y=2$

Step-by-step explanation:

We are finding the equation of the line that coincide with line segment AB.

So, we can find the equation by using points A and B.

$A\rightarrow(-3,2)\\B\rightarrow)(1,2)$

Slope of line (m) = $\frac{y_2-y_1}{x_2-x_1} = \frac{2-2}{1-(-3)} = 0$

Since slope = 0, therefore the line is parallel to x-axis.

The equation of line is given by $y=mx+b$

where $m$ is slope and $b$ is y-intercept.

So equation of line AB:

where $m=0$ and $b=2$

$y=(0)x+2$

$y=0+2$

$y=2$

8 0

3 years ago

The formula for the volume of a cone is V =1/3 pi*r^2h. If the radius (r) is doubled and

pishuonlain [190]

V = 1/3* h * r^3 pi
V ' = 1/3* h/3* (2r)^3 pi = h/9 * 8r^3 * pi

V ' / V = (h/9 * 8r^3 * pi) ÷ ( 1/3* h * r^3 pi ) = (8 * 3)/ 9 = 8 /3

5 0

3 years ago

What's the answer to this math question

fenix001 [56]

Im not exactly sure but i think:

r^2+6r+2
________
5r^2-5r-25

remember IM NOT SO SURE

7 0

3 years ago

A ball is kicked upward with an initial velocity of 32 feet per second. The ball's height, h (in feet), from the ground is model

stellarik [79]

Answer:

1. t = 0.995 s

2. h = 15.92 ft

Step-by-step explanation:

First we have to look at the following formula

Vf = Vo + gt

then we work it to clear what we want

Vo + gt = Vf

gt = Vf - Vo

t = (Vf-Vo)/g

Now we have to complete the formula with the real data

Vo = 32 ft/s as the statement says

Vf = 0 because when it reaches its maximum point it will stop before starting to lower

g = -32,16 ft/s² it is a known constant, that we use it with the negative sign because it is in the opposite direction to ours

t = (0 ft/s - 32 ft/s) / -32,16 ft/s²

we solve and ...

t = 0.995 s

Now we will implement this result in the following formula to get the height at that time

h = (Vo - Vf) *t /2

h = (32 ft/s - 0 ft/s) * 0.995 s / 2

h = 32 ft/s * 0.995 s/2

h = 31.84 ft / 2

h = 15.92 ft

4 0

3 years ago

Ms. Thomas took her family and friend to the movies. There were a total of 16 people. Children tickets cost $6 and adult tickets

Korolek [52]

Answer:

11 adults

Step-by-step explanation:

First, set up a system of equations:

Let x = number of children and y = number of adults

There is a total of 16 people, so x+y = 16. This is your first equation.

Each child ticket costs $6, so 6x = cost of children's tickets based on the number of children present (x)

Each adult ticket costs $9, so 9y = cost of adult's tickets based on the number of adults present (y)

The total cost of tickets is $129, so 6x+9y = 129. This is your second equation.

Your system of equations is now this:

x + y = 16

6x + 9y = 129

You can solve this system using the method of elimination, where we will eliminate the variable x (number of children), since we are focused on y (number of adults).

Multiply the top equation by -6. This will give the following equation:

-6x - 6y = -96

You can now solve the system of equations by placing the new equation under the second equation like this:

6x + 9y = 129

-6x - 6y = -96

Now, add the two equations together.

6x + (-6x) = 0

9y + (-6y) = 3y

129 + (-96) = 33

After doing this, you get the following equation:

3y = 33

As you can see, the variable x has been eliminated, and you are left with y.

Solve the equation for y:

3y = 33

y = 33/3 = 11

y = 11 adults

5 0

3 years ago