Answer:
Step-by-step explanation:
12x - 3y = 10
-3y = -12x + 10
y = 4x - 10/3....the slope here is 4
parallel lines will have the same slope
y = mx + b
slope(m) = 4
(-5,3)...x = -5 and y = 3
now we sub and find b, the y int
3 = 4(-5) + b
3 = -20 + b
3 + 20 = b
23 = b
so ur equation is : y = 4x + 23 <==
Step 1: Find the area of the bases (triangles)
A = 1/2 * base * height
A = 1/2 * 16 * 6
A = 48
48 + 48 = 96
Area of the triangles = 96 cm^2
Step 2: Find the area of the sides (rectangles)
A = base * height
A1 = 16 * 12
A1 = 192
A2 = 10 * 12
A2 = 120
120 + 120 = 240
240 + 192 = 432 cm^2
Step 2: Add the areas together
96 + 432
528 cm^2
Hope this helps!! :)
Answer:
3 hours and 30 minutes
Step-by-step explanation:
Max height is the vertex
convert to vertex form (y=a(x-h)^2+k) by completeing the square
h(t)=-16(t²-4t)+80
h(t)=-16(t²-4t+4-4)+80
h(t)=-16((t-2)²-4)+80
h(t)=-16(t-2)²+64+80
h(t)=-16(t-2)²+144
vertex is (2,144)
at t=2, the height is 144
max height is 144ft
