Answer:
The point (0, 0) in the graph of f(x) corresponds to the point (4, -7) in the graph of g(x)
Step-by-step explanation:
Notice that when we start with the function 
, and then transform it into the function: 
what we have done is to translate the graph of the function horizontally 4 units to the right (via subtracting 4 from the variable x), and 7 units vertically down (via subtracting 7 to the full functional expression).
Therefore, the point (0, 0) in the first function, will now appeared translated 4 units to the right (from x = 0 to x = 4) and 7 units down (from y = 0 to y = -7).
then the point (0, 0) after the translation becomes: (4, -7)
9514 1404 393
Answer:
∛(2500π)√37 m² ≈ 120.911 m²
Step-by-step explanation:
If the height is 3 times the diameter, it is 6 times the radius. Then the volume is ...
V = 1/3πr²h
V = 1/3πr²(6r) = 2πr³
For a volume of 100 m³, the radius is ...
100 m³ = 2πr³
r = ∛(50/π) m
The lateral area of the cone is computed from the slant height. For this cone, the slant height is found using the Pythagorean theorem:
s² = r² +(6r)² = 37r²
s = r√37
Then the lateral area is ...
LA = πrs
LA = π(∛(50/π) m)(∛(50/π) m)√37
LA = ∛(2500π)√37 m² ≈ 120.911 m²
Answer:
1 cup = 48 teaspoons
C = 48t
Step-by-step explanation:
Given:
1 tablespoon = 3 teaspoons
1 cup = 16 tablespoon
Write an equation that represents the number of teaspoons, t, contained in a cup, C.
Since
1 tablespoon = 3 teaspoons
And
1 cup = 16 tablespoon
Then
1 cup = 3 teaspoons × 16
1 cup = 48 teaspoons
Let
cup = C
Teaspoons = t
Therefore,
C = 48t
This is an isosceles right triangle (AB = BC & ∠ B=90° - Given)
Then the angles at the base are equal and ∠ CAB = ∠ ACB = 45°
Theorem: Segment DE, joining the midpoints of 2 sides is:
1st) parallel to the 3rd side and
2nd) equal to half the measurement of the 3rd side
So if the 3rd side (hypotenuse) = 9 units, DE = 9/2 = 4.5 units
Answer: Last option.
Step-by-step explanation:
Observe the diagram.
The perimeter of the parallelogram will be the sum of the lenghts of its sides. Then:
You know the lenght of the side WZ. This is:
Notice that:
Now, you must find the lenghts of the sides WX and YZ (
)
Observe that WZ goes from 2 to -2, therefore its lenght is:
Therefore, substituting values, you get that the perimeter of the paralellogram is:
