Answer:
y = 3x + 12
Step-by-step explanation:
y = 3x + 5 has slope 5.
We need the equation of a line with slope 5 that passes through point (0, 12).
y - y1 = m(x - x1)
y - 12 = 3(x - 0)
y - 12 = 3x
y = 3x + 12
Answer: the hat= $30. The equation you would use to solve is 2s+h=50
Step-by-step explanation:
2s+h=50
2(10)+h=50
20+h=50
-20. -20
h=30
Let us say that the variables for flight is designated by
1, while the return flight by 2, since the distance travelled are equal, therefore:
v1 t1 = v2 t2
or
460 t1 = 500 t2
Since t1 + t2 = 4.8, therefore: t1 = 4.8 – t2
460 (4.8 – t2) = 500 t2
2208 – 460 t2 = 500 t2
960 t2 = 2208
t2 = 2.3
t1= 4.8 – t2 = 4.8 – 2.3
t1 = 2.5
Answer:
The flight took 2.5 hours while the return flight took
2.3 hours.
Answer:
384 cm²
Step-by-step explanation:
The shape of the figure given in the question above is simply a combined shape of parallelogram and rectangle.
To obtain the area of the figure, we shall determine the area of the parallelogram and rectangle. This can be obtained as follow:
For parallelogram:
Height (H) = 7.5 cm
Base (B) = 24 cm
Area of parallelogram (A₁) =?
A₁ = B × H
A₁ = 24 × 7.5
A₁ = 180 cm²
For rectangle:
Length (L) = 24 cm
Width (W) = 8.5 cm
Area of rectangle (A₂) =?
A₂ = L × W
A₂ = 24 × 8.5
A₂ = 204 cm²
Finally, we shall determine the area of the shape.
Area of parallelogram (A₁) = 180 cm²
Area of rectangle (A₂) = 204 cm²
Area of figure (A)
A = A₁ + A₂
A = 180 + 204
A = 384 cm²
Therefore, the area of the figure is 384 cm²
C is your answer by the way
