Answer:
Step-by-step explanation:
Given the points (3, 9) and (9, 1), we must first solve for the slope of the line before proceeding with writing the point-slope form.
In order to solve for the slope (<em>m </em>), use the following formula:
m = (y₂ - y₁)/(x₂ - x₁)
Let (x₁, y₁) = (3, 9)
(x₂, y₂) = (9, 1)
Substitute these values into the given formula:
m = (y₂ - y₁)/(x₂ - x₁)
m = (1 - 9)/(9 - 3)
Therefore, the slope of the line, m = -4/3.
Next, using the slope, m = -4/3, and one of the given points, (x₁, y₁) = (3, 9), substitute these values into the following point-slope form:
y - y₁ = m(x - x₁)
⇒ This is the <u>point-slope form</u>.
There are two real roots (5 and -5) and 4 imaginary roots
His dog eats about 58.66lbs of dog food each year
Answer:
f ( - 2 ) = - 12
Step-by-step explanation:
f ( - 2 ) = - 3 ( -2 )^2
then you do the exponent first so
- 3 ( 4 )
now you multpily the - 3 and 4
you get - 12
<em>10 meters.</em>
Step-by-step explanation:
To find the missing side of a right triangle, we can use the <u>Pythagorean theorem</u>.
The Pythagorean theorem is...
Please be sure to note that a and b will <em>always </em>be the length of the sides and c will <em>always </em>be the hypotenuse, or in this case the ramp.
Since we know the values of both of the sides we can plug this into the theorem.
Now we can solve.
Add.
Many people will make the mistake of thinking 100 is the final answer, but since c is squared we need to find the square root of 100.
c = 10
<em><u>The ramp is 10 meters.</u></em>
