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: SECOND OPTION.
Step-by-step explanation:
Given the following point identified as "A":
You can identify that the x-coordinate of the point is:
And its y-coordinate is:
According to the exercise, this point is translated five units right and three units down. This means that, in order to find the new coordinates, you need to add 5 to the original x-coordinate and subtract 3 from the original y-coordinate.
Therefore, you can conclude that the rule that best describe the translation of the point is the following:
→ 
Then, the point translated is:
→ 
To apply a scale to a measure, you have to follow this rule:
Real measure x Scale = Scaled measure
So the drawings will have:
4 x 1/24 = 0'167 feet
6 x 1/24 = 0'25 feet
<span>Windows: 0'167 by 0'25 feet
</span>
<span>12 x 1/24 = 0'50 feet
</span><span>8 x 1/24 = 0'33 feet
</span>Doors: 0'33 by <span>0'50 feet</span>
Answer:
C
Step-by-step explanation:
g(x) = 4x²
g(x) is steeper than f(x) and the ordered pair (1, 4) fits in option C:
g(1) = 4(1)² = 4
The distributive property is being displayed here. The distributive property shows if you have a problem like 3(a+c), it can be converted into 3a+3c. It shows itself in this because it is distributing -2 to both a and b.
Answer: The distributive property is being shown here.
Hope I helped!
