Answer:
f(x) = -|5x|+3
Step-by-step explanation:
When doing transformations that go up or down, the number always goes all the way on the right, separate from the x. When its being translated up its positive, when its being translated down, its negative.
Answer:
I got 126.12 in my notes
Step-by-step explanation:
Answer:
Step-by-step explanation:
Comment
Begin by removing the brackets.
6+3(n-4)-8+2n
6 + 3n - 12 - 8 + 2n Collect like terms
3n + 2n + 6 - 12 - 8 Combine
5n - 14
Answer
5n - 14
Answer:
The shaded area is 314.2 cm²
Step-by-step explanation:
Here we note that the shape consists of two small circles and one larger circle
The diameter of the larger semicircle is subtended by the two smaller semicircles, the small semicircle closer to the left of the internal circumference of the larger semicircle is shaded one while the one on the right is without color,
Therefore,
Diameter of larger semicircle = 2 × 10 = 20 cm
Based on the diagram, the shaded area is observed to be;
Shaded area = Area of semicircle formed by larger diameter or 20 cm + Area area formed by the small semicircle close to the right of the internal circumference of the larger semicircle - Area area formed by the other smaller semicircle
Since the diameter and therefore the areas of the two small semicircles are equal, we have;
Shaded area = Area formed by the complete larger semicircle = Area of semicircle formed by larger diameter or 20 cm
∴ Shaded area = π·D²/4 = π×20²/4 = 100×3.142 cm² = 314.2 cm².
Answer:
The volume of the prism is equal to the volume of the cylinder
Step-by-step explanation:
For each solid figure, the volume formula is ...
V = Bh
where B is the cross-sectional area and h is the height. The problem statement tells us B and h have the same values for both figures. Hence their volumes are the same.
