What is the equation of the line that passes through (4,8) and is parallel to the graph y=1/2x-3 ?
Answers
Answer:
The Answer is: The y intercept form for a line that is parallel to the given equation and passes through the given point is: y = 1/2x + 6.
Step-by-step explanation:
Given a point: (4, 8)
Given and equation:
y = 1/2x - 3
Write an equation parallel that passes through the point (4, 8).
Start with the point-slope form of the equation, use the slope m = 1/2 from the given equation:
y - 8 = 1/2(x - 4)
Solve for y to get the slope intercept form:
y - 8 = 1/2x - 2
y = 1/2x - 2 + 8
y = 1/2x + 6
Proof:
Solve for f(x) when x = 4
f(4) = 1/2x + 6
= 1/2(4) + 6
= 2 + 6 = 8, giving the point (4, 8)
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That's the simplest form of 15/35. You can use 3/7 to get other equivalent fractions by multiplying the numerator and denominator by the same number. Other examples are 9/21, 6/14, and 12/28.
Hope this helps!
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A circle is a curve sketched out by a point moving in a plane. The area of the circle with a diameter of 240 mm is 45238.934 mm².
What is a circle?
A circle is a curve sketched out by a point moving in a plane so that its distance from a given point is constant; alternatively, it is the shape formed by all points in a plane that are at a setdistance from a given point, the centre.
The area of the circle with a diameter of 240 mm is,
Area of circle = (π/4) × D²
= (π/4) × (240)²
= 45238.934 mm²
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Final answer:
To convert feet to inches, multiply by 12. So, 3 feet is 36 inches. Therefore, the ratio of 28 inches to 3 feet is 28:36, which simplifies to 7:9
Explanation:
The ratio of 28 inches to 3 feet is usually used when comparing these two units of measurement. Since 1 foot is equivalent to 12 inches, then 3 feet is 36 inches.
Therefore, the ratio of 28 inches to 3 feet, expressed in inches, would be 28:36 which can be simplified to 7:9 by dividing both numbers by 4.
The ratio shows a direct relationship between the two units, meaning that for every 7 units on the '28 inches' side, there are 9 units on the '3 feet' side.
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point (0,2) (4,-1)
slope = (y2-y1)/(x2-x1)
m= ((-1-2))/(4-0)
m=-3/4
Choice B
(0,2) and (4,-1)
Slope
m = (2 + 1)/(0 - 4)
m = -3/4
Answer
B. -3/4
Answers
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actual dimensions 22 feet by 30 feet
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30 feet / 6 feet = 5 inches
the dimension of the room in the scale drawing is: 3 2/3 inches by 5 inches.