Answer:
The answer is 9x² - 6x - 1
Step-by-step explanation:
∵ (6x³ + x² - 10x - 1) - (6x³ - 8x² - 4x) =
0 + 9x² - 6x - 1 = 9x² - 6x - 1
A). The area of the shaded triangle is 64cm. This is because the formula for the area of a triangle is (b x h) / 2, and the base of this triangle is 16, and the height is 8. So, 16 x 8 is 128, and 128 / 2 = 64. The area is 64cm.
B). The area of each white triangle is 32cm because we can see that the two white triangles is equal to half of the shaded triangle, so we can take the base of the shaded triangle and divide it in two. Then we can use the formula for the area of a triangle and solve for the area: (b x h) / 2 = (8 x 8) / 2 = 32. The area of one of the white triangles is 32cm.
C). Since we have solved for the area of each of the triangles, we can add up all of these individual areas to get the area for the rectangle: White triangle + white triangle + shaded triangle = 32 + 32 + 64, which is equal to 128cm, the area of the rectangle.
Answer:
13
Step-by-step explanation:
Answer:
The volume of a sphere is 4/3 * πr³
With a radius of 3, you've got:
4/3 × π3³
= 4/3 × π × 27
= 4 × π × 9
= 45π
Answer:
The Graph on the Bottom Left
Step-by-step explanation:
When a system of equations are graphed, the solution is the point that the two lines intercept.
- The top left graph has a solution. The lines intercept at a point.
- The top right has infinite solutions, the lines overlap.
- The bottom right looks like that they intercept at the origin.
The bottom left graph has lines that do not intercept at all, so they have no solution. This would be our best answer.
