Answer:
1. (4, 3) and (8, 6)
2. Yes. The line shows a direct proportion. y = 0.75x
Try (20, 15) in the equation.
15 = 0.75(20)
15 = 15
Point (20, 15) works in the equation, so point (20, 15) is on the line.
3.
Let x = 100.
y = 0.75x
y = 0.75 × 100
y = 75
Since x = 100 gives y = 75, point (100, 75) is on the line.
4.
Let x = 90
y = 0.75x
y = 0.75 × 90
y = 67.5
For x = 90, y must be 67.5. Since this point is (90, 68), it is not on the line.
Answer:
B) 0.4 (6 - 2w)
Step-by-step explanation:
You can only add or subtract with the numbers that have the same variable:
You can only add -2.2w and 1.4w
Which is -0.8w
Then add 4.8 and -2.4
Which is 2.4
Now the equation is -0.8w+2.4 or 2.4-0.8w
0.4 times 6 is 2.4
0.4 times 2w is -0.8w
Which is the same
-0.8w+2.4 or 2.4-0.8w
Hope this helps!
The rule to remember about generating the perpendicular family to a line is we swap the coefficients on and x and y, remembering to negate one of them. Then the constant is set directly from the intersecting point.
So we have
y = 3x + 2
-3x + 1y = 2
Swapping and negating gets the perpendiculars; the constant is as yet undetermined.
1x + 3y = constant
Since we want to go through (0,2), we could have just written
x + 3y = 0 + 3(2) = 6
3y = -x + 6
y = (-1/3) x + 2
Third choice
Answer:
(12, 40)
Step-by-step explanation:
The first thing is to assume that we have a point with the following coordinates (x, y).
Now, we can have two different cases since the meaning of the expansion of a point is moving to a new point that is a greater distance from the origin if we are expanding by a value, that is, an integer in the system of coordinates and the other case is that if we are dilating by a fraction that is between 0 <x <1, then the distance from the origin decreases.
Now, the point (x, y) goes through an expansion by a scale factor f (with the origin as the expansion point), then the new coordinate of the point = [f * x, f * y], that scale factor has the value of 3, so if we replace we have:
(3 * 4, 4 * 10) = (12, 40)
Answer:
200
Step-by-step explanation:
Surface are of cube = 6a^2
