Answer:
y= -2x + 11
Step-by-step explanation:
standard form for lines is y=mx+b
m is the slope and b is the y intercept
we already know that m is -2, so we just need to figure out the intercept.
the point given is (7,-3)
points are written as (x,y) so we can plug it into the equation with 7 for the x and -3 for y
-3 = -2 (7) + b
-3 = -14 + b
11 = b
so the equation is y=-2x+11
Answer:
The distance between the two points is approximately 11 units
Step-by-step explanation:
Here, we are to give the distance between the given two points to the nearest whole number;
To calculate the distance, we shall be using the distance formula;
D = √(x2-x1)^2 + (y2-y1)^2
(x1,y1) = (5,6)
(x2,y2) = (1,-4)
D = √(1-5)^2 + (-4-6)^2
D = √((-4)^2 + (-10)^2
D = √(16+100)
D = √(116)
D = 10.77 units which is approximately 11 units
Answer:
Data: (Cylinder)
h (height) = 8 cm
r (radius) = 5 cm
Adopting:
V (volume) = ?
Solving:(Cylinder volume)
Note: Now, let's find the volume of a hemisphere.
Data: (hemisphere volume)
V (volume) = ?
r (radius) = 5 cm
Adopting:
If: We know that the volume of a sphere is , but we have a hemisphere, so the formula will be half the volume of the hemisphere
Formula: (Volume of the hemisphere)
Solving:
Now, to find the total volume of the figure, add the values: (cylinder volume + hemisphere volume)
Volume of the figure = cylinder volume + hemisphere volume
Volume of the figure = 628 cm³ + 261.6 cm³
Step-by-step explanation: