Answer:
Choices 1 and 4 are correct.
Step-by-step explanation:
We first need to find what the slope of the line is. That way, we can find out which possible answers are perpendicular to it:
Since we now have the slope, we need the negative reciprocal of it. Remember: if x is the slope, it's negative reciprocal will be 
. Therefore, if the line's slope is 3, then we need to find answers with a slope of
.
The first answer is correct, as you have marked. The second answer, while written a little weirdly, does show the slope as 3, which we know as wrong. The third choice is not correct, however. This equation is written in point-slope form, where
. The only variable we have to worry about is m, which, in the third choice, is 3. The fourth answer is correct, which sounds weird at first. Let's put that equation into slope-intercept form:
Equations like these can be real sneaky, so it's important not to jump to conclusions with them.
Answer:First option, y=f(x+3)+5
Step-by-step explanation:
analyse the transformation first
- From the dotted function, when compared to the solid black line, is moved 3 units to the left, and moved upwards by 5 units
Input transformation
- In graphing, when a value is shifted horizontally, its transformation is equal to: -(x2-x1), and in this instance, we end up with a value of +3
- so, f(x+3) is the first component
- When a function is shifted horizontally, it is proportiante to the distance it moves, so (y2-y1)
- in this instance, it is 0 - -5=5
- so the transformation vertically is +5
Final answer, when all values are added is y=f(x<u>+3</u>)<u>+5</u>
x | y
-
2 | 10
4 | 20
6 | 30
just plug the x values (2,4,6) into x in the equation and you get your y! example would be y=5(2) so y=10
According to the given data we have the following:
Debra started washing at 8:33 AM
finished at 9:22 AM
One easy way to find out the amount of time it took to her washing her clothes would be the following:
Debra started washing at 8:33 AM, so from 8:33 am to 9 o clock 27 minutes passed.
So, if she finished at 9:22 AM, that means that we would have to add to the 27 minutes another 22 minutes, so 27+22=49 minutes.
Therefore, it took to her 49 minutes to wash her clothes.
If x = 5, then its 6... square root of six is not able to be simplified.
so it would be 1 / sqrt 6
