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.
We can solve this two different ways. I'll do both, and you choose which one makes the most sense:
We can divide the fraction 3/4 by 12. remember, when we divide fractions, we flip the second fraction and change the sign to multiplication:
3/4 ÷12 [starting equation]
3/4 x 1/12 [flip and change sign]
3/48 [now reduce]
1/16 Each step takes 1/16 of an hour.
1/16 x 60 = 3 3/4, or 3.75 minutes
Second way:
3/4 of an hour is 3/4 of 60...45 minutes.
Still, we divide out:
45 ÷ 12 [starting equation]
3 9/12 [divide with remainder]
3 3/4 minutes...3.75 minutes
Answer:
Step-by-step explanation:
integer=8
negative fraction=1/2
positive fraction=1/9
negative decimal=0.4
positive decimal=0.8
Hi there! To solve this, all we have to do is multiply each side by 2.2 to cancel out the variable and to find the value for it. 5.8 * 2.2 is 12.76. 12.76/2.2 is 5.8. x = 12.76. The answer is D.
Answer:
Step-by-step explanation:
hello :
Completing The Square x²-4x-2= (x²-4x+4)-4-2 = (x-2)²-6
the vertex is : (2 , -6)
now calculate the solutions : (x-2)²-6 =0
(x-2)²= 6 means : x-2 =√6 or x-2 = -√6
x = 2+√6 or x = 2-√6
