Answer:
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Finding the Volume of a Rectangular Pyramid
Your overall formula for finding the volume of these multi-faceted shapes is V = (l x w x h) / 3. Basically, your first step is finding the area of the base by multiplying length by width. Once you determine the area of the base, multiply that by the height.
Answer:
D. 96
Step-by-step explanation:
Using the Multiplication Principle, we multiply the number of choices for each item together:
Answer:
y = -2x -5
Step-by-step explanation:
The line crosses the y-axis at -5. So, b = -5.
It goes down 2 units for each 1 unit to the right, so has a slope of ...
m = rise/run = -2/1 = -2
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The slope-intercept form of the equation of a line is ...
y = mx +b where m is the slope and b is the y-intercept
For the slope and y-intercept shown, the equation is ...
y = -2x -5
For the first one, 2/5 is the constant rate of proportionality because you are using it in a y=kx equation.
Answer:
see explanation
Step-by-step explanation:
For the triangles to be congruent.
The hypotenuse and a leg of the triangle on the left and the hypotenuse and a leg of the triangle on the right must be congruent, thus
4y = x + 4 → (1)
x = y + 8 → (2)
Substitute x = y + 8 into (1)
4y = y + 8 + 4 = y + 12 ( subtract y from both sides )
3y = 12 ( divide both sides by 3 ) )
y = 4
Substitute y = 4 into (2)
x = 4 + 8 = 12
Thus
x = 12 and y = 4