A cone shaped vase has a radius of 12 cm and a height of 45 cm. What is the exact value of the volume of the cone?
1 answer:
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Answer:
(-4, 5)
Step-by-step explanation (work shown in attached picture):
1) Since x is already isolated in the first equation, substitute that value for x into the other equation to find y. So, substitute 16-4y for the x in 3x + 4y = 8, then solve for y. This gives us y = 5.
2) Now, substitute that given value for y back into any one of the equations to find x. I chose to do it in the first equation. Substitute 5 for the y in x = 16-4y, then solve for x this time. This gives us x = -4.
Since x = -4 and y = 5, the solution is (-4, 5).
The equation of the line in the point-slope form is y - 15 = (x - 10)
Step-by-step explanation:
The point-slope form of a linear equation is , where
- m is the slope of the line, where
,
and
are two points on the line
∵ Point A = (10 , 15)
∵ The x-coordinate of the second point is 125% of x-coordinate
of point A
∴ x-coordinate of second point = × 10
∴ x-coordinate of second point = 12.5
∵ The y-coordinate of the second point is 75% of y-coordinate
of point A
∴ y-coordinate of second point = × 15
∴ y-coordinate of second point = 11.25
∴ The coordinates of the second point are (12.5 , 11.25)
Let us find the slope of the line by using the rule of it above
∵ = (10 , 15)
∵ = (12.5 , 11.25)
∴
Now we can write the equation
∵ The point-slope form is
∵
∵ = (10 , 15)
- Substitute these values in the form of the equation
∴ y - 15 = (x - 10)
The equation of the line in the point-slope form is y - 15 = (x - 10)
Learn more:
You can learn more about the linear equation in brainly.com/question/4152194
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