A
The volume (V) of a pyramid is found using the formula
V =
× area of base × height(h)
area of base = 9² = 81 ← area of a square, hence
324 =
× 81 × h = 27h ( divide both sides by 27 )
h =
= 12 → A
Answer:
y=-\frac{5}{3} x+\frac{10}{3} or what is the same: 
Step-by-step explanation:
First we find the slope of the line that goes through the points (-4,10) and (-1,5) using the slope formula: 
Now we use this slope in the general form of the slope- y_intercept of a line:

We can determine the parameter "b" by requesting the condition that the line has to go through the given points, and we can use one of them to solve for "b" (for example requesting that the point (-1,5) is on the line:

Therefore, the equation of the line in slope y_intercept form is:

Notice that this equation can also be written in an equivalent form by multiplying both sides of the equal sign by "3", which allows us to write it without denominators:

Answer:
Hi! The answer is 
Step-by-step explanation:




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Answer:
-3(4 - 6x)
-12 +18x
=18x - 12
Step-by-step explanation:
You multiple the negative 3 with positive 4 to get negative 12.
An you also multiple the negative 3 with negative 6x (a negative multiple a negative changes into positive) giving you 18x as your answer
Answer:
The car must have a speed of 25 kilometres per hour to stop after moving 7 metres.
Step-by-step explanation:
Let be
, where
is the stopping distance measured in metres and
is the speed measured in kilometres per hour. The second-order polynomial is drawn with the help of a graphing tool and whose outcome is presented below as attachment.
The procedure to find the speed related to the given stopping distance is described below:
1) Construct the graph of
.
2) Add the function
.
3) The point of intersection between both curves contains the speed related to given stopping distance.
In consequence, the car must have a speed of 25 kilometres per hour to stop after moving 7 metres.