Answer:
3 units to the right
Step-by-step explanation:
Given f(x) then f(x + a) represents a horizontal translation of f(x)
• If a > 0 then a shift of a units to the left
• If a < 0 then a shift of a units to the right
Thus
g(x) = (x - 3)² is f(x) shifted to the right by 3 units
Answer:
x=−8/3
Step-by-step explanation:
Let's solve your equation step-by-step.
This is just cylinder surface area, right? Equation for that would be 2πrh+2πr^2. If we input the data given from the image, it’d be (2 x π x 3.5 x 4)+(2 x π x 3.5 x 3.5). (4 is the height, and I found the radius by dividing the diameter, 7, in half, which is 3.5.) if u plug that into a calculator, u get 164.93.
Answer:
16 yard line
Step-by-step explanation:
The football team is starting on the 10 yard line. In the first play, they move up to the 24 yard line. Then in the second play, they go back to the 12 yard line since they lost 12 yards. Then in the third play, they gain 4 yards so you add 4 to 12. They end up at the 16 yard line after the third play. This means that they're going to start their fourth play at the 16 yard line.
Answer:
x= 34°
y=5
Because segments AB and BC are congruent, their corresponding angles (<BAD and <BCD) would also be congruent to each other, meaning that both would be 56°.
Knowing that triangles add up to 180°, the whole triangle (ABC) would then have 2 angles that are 56° and the top angle (<ABC) would be 68°
Splitting those in half ( because <ABD and <CBD are congruent), each would be 34° (thus x=34°)
Looking now at the two separate triangles (ABD and CBD), we can determine that both <BDA and <BDC are 90° (right angles) because 180-34-56=90°.
Therefore, since both triangles have all congruent angles, both triangles are the same! So, since segment AD=5, segment CD would also be 5 (y=5).
