What's the volume of the prism?<br> How many cubic units

What is the equation of the given line in the point-slope form

Genrish500 [490]

First using the given two points we can find the slope (m) of the line

$Slope = m = \frac{Rise}{Run} \\ \\ 
m= \frac{4-1}{3-0} \\ \\ 
m=1$

Thus the slope of given line is 1.

Using slope and a point (0,1) we can write the equation in point slope form as

y - 1= 1(x-0)
y - 1 = x

The above equation is the point-slope form of the equation.

4 0

3 years ago

The local radio tower is located 20 miles east and 12 miles north of Pamela's cabin. The radio tower has a 25 mile broadcast rad

pychu [463]

Answer:

x^2 +y^2 -40x -24y -81 =0

Step-by-step explanation:

We can write the equation of a circle in the form

(x-h)^2 + (y-k)^2 = r^2

Where (h,k) is the center and r is the radius

Assuming that Pamela's cabin is the center

( x-20)^2 + (y- 12)^2 = 25^2

We want to get to general form

x^2 + y^2 + Dx + Ey + F = 0,

Distributing

x^2 -40x +400 + y^2 -24y +144 = 625

x^2 +y^2 -40x -24y +544 -625 =0

x^2 +y^2 -40x -24y -81 =0

3 0

3 years ago

Thulani goes to the library every 7 days. He goes to the market every 4 days

emmasim [6.3K]

Thulani goes to both the library and the market for 5 more times during the year.

Step-by-step explanation:

Thulani goes to the library every 7 days. He goes to the market every 4 days.

We have to calculate the Least Common Multiple (LCM) to analyze the next common day on which he will go to both places.

The factors of 7 are: 1 x 7

The factors of 4 are: 2 x 2

Therefore, the LCM would be = 1 x 7 x 2 x 2

LCM = 28

LCM indicates that Thulani will go to both places on every 28th day.

To calculate the number of times (n) he will go to both places on same day. We can use the formula mentioned below:'

$n = \frac{Number of days}{frequency}$

Here frequency represents the LCM = 28.

The number of days are:

August: 30 (we are excluding 1st August)

September: 30

October: 31

November: 30

December: 31

Total = 152

By putting the values in formula, we get

$n = \frac{152}{28}$

n = 5.42

As, the number of times can only be a whole number. Therefore, Thulani goes to both the library and the market for 5 more times during the year.

Learn more:

The following links have more information

brainly.com/question/12419898

brainly.com/question/12764620

Keywords: LCM, same day

#learnwithBrainly

7 0

3 years ago

How do u do this with answer plz

Whitepunk [10]

Answer:

i guess u know how to calculate a rectangle

Step-by-step explanation:

https://sciencing.com/area-triangular-prism-8165114.html

6 0

2 years ago

Read 2 more answers

Please someone help me on this <33

dangina [55]

Answer:

B

Step-by-step explanation:

The initial value for a function is the value of y when x=0. For function A, we can see from the table that when x = 0, we have y = 4. For function B, we plug in 0 in our equation and solve: y = 3(0) + 5, or y = 5. So, because function B has a larger value of y when x = 0, function B has the greater initial value because the initial value for Function A is 4 and the initial value for function B is 5.

7 0

3 years ago

What's the volume of the prism? How many cubic units