Answer:
Step-by-step explanation:
There are six faces on the prism:
Two faces are 7 cm by 10 cm, area = 7×10 = 70 cm² each
Two faces are 7 cm by 3 cm, area = 7×3 = 21 cm² each
Two faces are 10 cm by 3 cm, area = 10×3 = 30 cm² each
surface area = 2(70) + 2(21) + 2(30) = 140 + 42 + 60 = 242 cm²
Step-by-step explanation:
Remember that in a linear function of the form
,
is the slope and
is the why intercept.
Part A. Since
, its slope is 2 and its y-intercept is 6
Now, to find the slope of
we are using the slope formula:

where
is the slope
are the coordinates of the first point
are the coordinates of the second point
From the table the first point is (-1, -12) and the second point is (0, -6)
Replacing values:




The slope of f(x) is bigger than the slope of g(x), which means the line represented by f(x) is stepper than the line represented by g(x).
Part B. To find the y-intercept of f(x) we are taking advantage of the fact that the y-intercept of a linear function occurs when x = 0, so we just need to look in the table for the value of f(x) when x = 0. From the table
when
; therefore the y-intercept of
is -6.
We already know that the y-intercept of g(x) is 2. Since 2 is bigger than -6, function g(x) has a greater y-intercept.
Step-by-step explanation:
The distance formula between two points:

Substitute the coordinates of the points.

If a ≤ b < c are the sides of the right triangle, then
a² + b² = c²

used
for a ≥ 0.
therefore ΔABC is a right triangle.
1.) 7.2 2.) 15 3.)12
4.) 23 5.) 100, 100, 1000
Volume of a cylinder formula is
