What’s the value of y?

Find the slope of the line going through the points (0, -5) and (-2,1)

kvasek [131]

Answer:

$\displaystyle m=-3$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Coordinates (x, y)
Slope Formula: $\displaystyle m=\frac{y_2-y_1}{x_2-x_1}$

Step-by-step explanation:

Step 1: Define

Point (0, -5)

Point (-2, 1)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Substitute in points [Slope Formula]: $\displaystyle m=\frac{-5-1}{0--2}$
[Fraction - Denominator] Simplify: $\displaystyle m=\frac{-5-1}{0+2}$
[Fraction - Numerator] Subtract: $\displaystyle m=\frac{-6}{0+2}$
[Fraction - Denominator] Add: $\displaystyle m=\frac{-6}{2}$
[Fraction] Divide: $\displaystyle m=-3$

8 0

3 years ago

If Billy Bob only fills the tank 3/4 of the way, what will be

Julli [10]

The volume will be one third of th volume of the full tank.

Since you haven't given the volume of the full tank, we can't answer.

8 0

4 years ago

Can someone please help me!!!!!!!!!!!!!!!!!!!!!

N76 [4]

Answer:

5x-6+7x+12=180

Step-by-step explanation:

5x+7x = 12x

12x - 6 +12 = 180

add 12 and -6 to get 6.

12x + 6 = 180

subtract 6 from both sides to get 174.

12x = 174.

now divide both sides by 12 to get x = 14.5 or 29/2 which cancels out to 6

5 0

3 years ago

Kelly drove north for 9 miles and then east for 12 miles at an average rate of 42 miles per hour to arrive at the town of Prime.

mr_godi [17]

Answer:

Step-by-step explanation:

This is one of the more interesting motion problems I've seen. I like it! If Kelly is driving north (straight up) for 9 miles, then turns east (right) and drives for 12 miles, what we have there are 2 sides of a right triangle. The hypotenuse is created by Brenda's trip, which originated from the same starting point as Kelly and went straight to the destination, no turns. We need the distance formula to solve this problem, so that means we need to find the distance that Brenda drove. Using Pythagorean's Theorem:

$9^2+12^2=c^2$ and

$81+144=c^2$ and

$225=c^2$ so

c = 15.

Brenda drove 15 miles. Now we can fill in a table with the info:

d = r x t

Kelly 12+9 42 t

Brenda 15 45 t

Because they both left at the same time, t represents that same time, whatever that time is. That's our unknown.

If d = rt, then for Kelly:

21 = 42t

For Brenda

15 = 45t

Solve Kelly's equation for t to get

t = 1/2 hr or 30 minutes

Solve Brenda's equations for t to get

t = 1/3 hr or 20 minutes

That means that Brenda arrived at the destination 10 minutes sooner than Kelly.

4 0

3 years ago

A person whose eye level is 15 feet above the ground is looking at a building. The angle of elevation to the top of the building

uysha [10]

Answer:

61.97 feets

Step-by-step explanation:

Using trigonometry :

Horizontal distance between the person and building,

Let distance = d

Tan 15 = 15 / d

0.2679491 * d = 15

d = 15 / 0.2679491

d = 55.980781

To obtain the height, h :

tan 40 = (h-15)/d

d = 55.98

h-15 = 55.98 (tan 40°)

h - 15 = 55.98 * 0.8390996

h - 15 = 46.972797

h = 46.972797 + 15

h = 61.972797

h = 61.97 feets

4 0

3 years ago