Answer:
y = -3x + 7
Step-by-step explanation:
Using the equation of line
y = mx + C
y - y_1 = m(x - x_1)
First find the slope
With eqn y = 1/3x - 3
Note, if two lines are perpendicular, their slope will be negative reciprocal
slope = m = -3/1
Using y - y_1 = m(x - x_1)
With point ( 3, -2)
x_1 = 3
y_1 = -2
y - (-2) = -3/1(x - 3)
y + 2 = -3/1(x -3)
Open bracket
y + 2 = -3(x - 3)/1
y + 2 = (-3x +9)/1
y = (-3x + 9 )/1 - 2
LCM is 1
y = -3x + 9 - 2
y = -3x + 7
The equation of the line is
y = -3x + 7
You will need the formula for finding the volume of a rectangular prism (cuboid).
V = l x w x h
1. V = x^2 x h
2. To solve for x, you will substitute in the information you know.
150 = x^2 x 24
Divide both sides by 24 to get
6.25= x^2
The square root of 6.25 is 2.5.
x = 2.5 cm
Simplify the equation: x(pie)+7893
Answer:
Step-by-step explanation:
The question will look like (3b)/(a^-2)
To simplify, note the (a^-2). It is a negative, so flip the placement of the monomial. Note that the term is located in the decimal, so when it is flipped, it goes to the numerator (vice versa if it is opposite)
(3b)/(a^-2) = (3b)(a²)
3a²b, or (A) is your answer choice
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Graph B should be correct