Answer:
-5
Step-by-step explanation:
gradient = change in y ÷ change in x
gradient = -5 ÷ 1 = -5
Answer:
- 1
Step-by-step explanation:
h = 20 – 5t2 = 15 -> t = 1
h = 20 – 5t2 = 10 -> t =
interval - 1
Answer:
Cost to pave the road = $4257
Step-by-step explanation:
Area of the pavement = Area of the outer circle - Area of the internal circle
Area of the outer circle = πr²
= π(55)²
= 3025π square feet
Area of the inner circle = π(33)²
= 1089π square feet
Area of the pavement = 3025π - 1089π
= 1936π
= 6082.12 square feet
Cost of pavement = $0.70 per square feet
Therefore, cost of 6082.12 square feet = 6082.12 × 0.70
= 4257.49
≈ $4257
Cost to pave the road = $4257
Step 1) Divide the figure into separate shapes
Long rectangle: 27 x 5
Triangle: 3 x 4
Middle rectangle: 15 x 7
Small rectangle: 6 x 3
Step 2) Find the area of each shape
Long rectangle: A = 27 x 5 = 135
Triangle: A = 1/2 x 3 x 4 = 6
Middle rectangle: A = 15 x 7 = 105
Small rectangle: 6 x 3 = 18
Step 3) Add all of the areas together
A = 135 + 6 + 105 + 18 = 264 square feet
Hope this helps! :)
Answer:
The answer to your question is (-1, 4) The lines cross in one point so they have only one solution.
Step-by-step explanation:
Data
Equation 1 x - 4y = -17
Equation 2 y = 4x + 8
Solve for y
Equation 1 y = -x/-4 - 17/-4
y = x/4 + 17/4
Equation 2 y = 4x + 8
See the graph below
These lines cross in point (-1, 4), so that is the only one solution.
If the lines were the same line they would have infinite solutions
