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guajiro [1.7K]
3 years ago
13

Select the correct answer from each drop-down menu.

Mathematics
1 answer:
Anettt [7]3 years ago
7 0

y = -3/5(x-3)

y= (-3/5) x + 9/5

Step-by-step explanation:

Step 1 :

The equation of line in point and slope form is (y- y intercept) = m(x-x intercept)

Where m represents the slope and x1 and y1 are points on the line.

Given (-2,3) and (3,0) are points on the line

m = (y2-y1)/(x2-x1) = (0-3)/(3-(-2)) = -3/5

So the equation of the line in point slope form is

(y-0)= -3/5(x-3) = y = -3/5(x-3) [taking the point as (3,0)]

Step 2 :

The equation of a line in slope and intercept form is  y = m x +c

m denotes the slope and the constant c denotes the y intercept (the value of intercept in the y axis when x = 0)

when x = 0, y = 9/5 [using the equation in step 1]

Hence the equation in slope and intercept form is

y= (-3/5) x + 9/5

You might be interested in
Find the measure of the angle formed between the base of the cone and a line segment that represents the slant height
wel

Since there are no figures given, I will give an example. 


You are given a silo that is shaped as a closed cylinder with a conical end. The diameter of the silo is 4 ft, the length of the cylindrical part is 6 ft, and the entire length of the silo is 10.5 ft. Suppose that you are asked to find the total volume of grains that can be stored in the silo.

Given:

Cylinder part

D = 4 ft

H = 6 ft

Cone part

H = 10.5 – 6 = 4.5ft

D = 4ft


Required:

Volume of silo


Solution:
V of cylinder = πr²H

V of cylinder = π(4/2)²(6)

V of cylinder = 75.4 ft³


V of cone = πr²H/3

V of cone = π(4/2)²(4.5/3)

V of cone = 18.85 ft³

Total volume = 94.25 ft³

6 0
3 years ago
you are given an 8-gallon jug filled with water and also two empty jugs: one that holds 5 gallons and other that holds 3 gallons
Yanka [14]

Answer:

Step-by-step explanation:

We will use following steps to measure exactly 4 gallons of water with the help of 5 gallons and 3 gallons empty jugs.

1). Fill 3 gallons jug completely.

2). Pour this 3 gallons of water into 5 gallons jug. Now we have 3 gallons of water in 5 gallons jug and 3 gallons jug empty.

We can add 2 gallons of water in the empty space of 5 gallons jug more.

3). Fill the 3 gallons jug with the water again.

4). Pour this water into 5 gallons jug which can hold 2 gallons of water more.

Now we have 5 gallons of jug filled fully and 1 gallon water remaining in the 3 gallons jug.

5). Empty the 5 gallons jug completely.

6). Pour the remaining 1 gallon of remaining water in 3 gallons jug into 5 gallons jug.

7). Fill the 3 gallons jug completely and pour it into 5 gallon jug.

8). Finally we have 4 gallons of water in the 5 gallons jug.

8 0
3 years ago
Help please and im writing this since it needs 20 characters
Marat540 [252]

Answer:

65% !

Step-by-step explanation:

Plz mark as brainliest!

5 0
3 years ago
The total cost CC (in dollars) to participate in a ski club is given by the literal equation C=85x+60C=85x+60, where xx is the n
Morgarella [4.7K]
First of all why is there 2 similar equation connected to one another?

Second in order to solve this all you need to do is plug in the number and solve for x

For 485

85x+60=485
85x=420
X=5

Do the same thing and you get 3
6 0
3 years ago
Read 2 more answers
B is the midpoint of ac. Ab = x+9 and bc = 3x-7 find x and ac
natali 33 [55]

To solve this problem, we need to know 2 relationships:

<h2>1. AC = AB + BC</h2>

The distance of AC is the sum of AB and BC.

AC = AB + BC

We know this since the distance of going from A to C (AC) is the same as going from A to B (AB), then B to C (BC).

<h2>2. AB = BC</h2>

The distance of AB is the same as AC.

AB = BC

We know this since B is in the middle of AC, so the distance from B to A (BA) is the same as the distance from B to C (BC).

You can see the attached image (at the bottom) for a visualization of this.

<h2>Putting them together</h2>

Since we know the values of AB and BC...

AB = x+9\\BC = 3x-7

...we can put these values into our 2nd equation and solve for x:

AB = BC\\x + 9 = 3x -7

Add 7 to both sides:

x + 16 = 3x

Subtract x from both sides:

16 = 2x

Divide both sides by 2:

8 = x\\x = 8

Knowing x, we can find the distance of AC using our first equation.

AC = AB + BC

Let's put in the values of AB and BC:

AC = (x+9) + (3x-7)

Before we put in x = 8, we can simplify this:

AC = (x+9) + (3x-7)\\AC = x + 9 + 3x -7\\AC = x + 3x + 9 -7\\AC = 4x + 9 - 7\\AC = 4x+2

We group x and 3x and add those together. Then we subtract 7 from 9.

With this equation, we can put in x = 8:

AC = 4x +2\\AC = 4*8 + 2

Since 4 * 8 = 32:

AC = 4 * 8 + 2\\AC = 32 + 2\\AC = 34

Finally, we have found both x and AC.

<h2>Answer</h2>

x = 8

AC = 34

7 0
3 years ago
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