Answer:
The slope is 1/2
Step-by-step explanation:
If you watch where each dot landes, it's half of each y number. The sodas cost $0.50 which is half of 1.
Answer:
66.4 in^2
Step-by-step explanation:
Surface area is defined as the area around the surface of a 3-dimensional solid. The shape we are given here is a triangular prism with a square base. This means it contains one square and 4 triangles on the surface. To find the surface area, we just need to find the areas of all 5 surface shapes and add them up. We have been given that the square has a side length of 4 inches, meaning the area is 4^2 or 16. The area of a triangle is (1/2)base*height. The base length is 4 inches and the height is 6.3, and (1/2)*4*6.3 is 12.6. Note that, since there are four triangles, we have to multiply this value by 4 (12.6*4 = 50.4). Now we have the area of the square and the area of all the triangles put together, so we can just add them up:
16 + 50.4 = 66.4
Answer:
Step-by-step explanation:
y - 7 = -3(x - 2)
y - 7 = -3x + 6
y = -3x + 13
Answer:
a = 21
Step-by-step explanation:
If x = h is a zero of a polynomial then f(h) = 0, thus
p(-
) = 27( -
)³ - a(-
) - (-
) + 3 = 0, that is
27 (-
) -
a +
+ 3 = 0
- 1 -
a +
= 0 ( multiply through by 9 to clear the fractions )
- 9 - a + 30 = 0
- a + 21 = 0 ( subtract 21 from both sides )
- a = - 21 ( multiply both sides by - 1 )
a = 21