The area of the base would be found using the area of a triangle formula which is 1/2 x base x height.
The base and height are the two sides perpendicular to each other, which are both 5 inches.
The area of the base = 1/2 x 5 x 5 = 12.5 square inches.
The volume of the triangular prism is the area of the base times the height, which is 4 inches.
Volume of the triangular prism is 12.5 x 4 = 50 cubic inches.
Volume of the triangular prism is 1/3 x area of base x height, which is 7:
Volume of the triangular prism = 1/3 x 12.5 x 7 = 29.17 cubic inches.
Total volume = 29.17 + 50 = 79.17 cubic inches.
Answer:
y = (x - 4)² - 25
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
To obtain this form use the method of completing the square.
Given
y = (x + 1)(x - 9) ← expand factors using FOIL, thus
y = x² - 8x - 9
To complete the square
add/subtract ( half the coefficient of the x- term )² to x² - 8x
y = x² + 2(- 4)x + 16 - 16 - 9
= (x - 4)² - 25 ← in vertex form
Answer:
53 minutes
Step-by-step explanation:
Let x be the time required for a full video upload. This would have the unit of (minutes/full upload). Since the upload rate is constant, we can write:
(0.17)*(x) = 9 minutes
This equation states that 17% of the full upload time is 9 minutes.
Solve for x:
x = (9 minutes)/(0.17)
x = 52.9 minutes or 53 minutes with 2 sig figs
You don't have a graph there so idk if im right but i think its (0,2) and (3,1) plz tell me if im wrong :)
Y = x - 1
because the gradient is 1 and the y-intercept is -1
