Answer:
y=-2/3*x+1/3
Step-by-step explanation:
-6x+4y=-12
put into y=mx+b line equation
4y=6x-12
y=(6/4)x-(12/4)
y=(3/2)x-4
slope is 3/2
to find perpendiular line slope take the negative inverse.
-(2/3) = slope of perpendicular line
use line equation and solve for y-intercept (b)
3=(-2/3)*(-4)+b
3=8/3+b
b= 9/3-8/3 = 1/3 : 3 = 9/3 to allow for subrtaction of fractions.
Given:
The point is (6,2).
To find:
The image of given point after rotation of 270 degrees.
Solution:
Let the given point be P(6,2).
Rotation of 270 degrees means the figure is rotated 270 degrees counterclockwise about the origin. So, the rule of rotation is
Using this rule, we get
Therefore, the image of given point is (2,-6).
Hello there.
<span>Which line is a graph of the equation 2x + 5y = 10?
Coordinate plane with the following lines graphed: Line A contains a slope of five-halves and y-intercept of 2; Line B contains a slope of negative five-halves and y-intercept of 2; Line C contains a slope of five-halves and y-intercept of negative 2; and Line D contains a slope of negative five-halves and y-intercept of negative 2.
</span><span>line b</span>
Answer:
<u>Acute Angle</u>
Step-by-step explanation:
<u>Obtuse Angle</u> is greater than 90 degrees
<u>Right Angle</u> is exactly 90 degrees
<u>Acute Angle</u> is less than 90 degrees
Answer:
The surface area is 3140 feet².
What is Surface Area?
Surface area is the amount of space covering the outside of a three-dimensional shape.
Given that:
Diameter = 20 feet
radius = 20 ÷ 2 = 10 feet
Now, Surface area will be,
=2πr²+ 2πrh
= 2 × 3.14 × (10)² + 2 × 3.14 × 10 × 40
= 6.28 × 100 + 6.28 × 400
= 628 + 25.12 × 100
= 628+ 2512
= 3140 feet²
hence, the surface area is 3140 feet².
Step-by-step explanation:
