Answer: x = 28
Step-by-step explanation:
3x+10+3x+2=180
6x+12=180
6x=168
x = 28
Y=x+12 is the parallel line that passes through this point
Your answer will be the third option.
Answer:
7 + (x/2) = 9.2
solve for x.
Step-by-step explanation:
We're hanging weights from a spring and measuring the distance of stretch. This is how those vegetable scales in grocery stores work (kind of). We know that the spring, with no weight, is 7 cm. So it can't get any shorter than this. We also know that for every kg of mass added, the spring stretches 0.5 cm. So, if you hung 3 kg of weight, the spring would have to stretch 0.5 * 3 = 1.5 cm. Add to that the 7 cm that it was originally and we have 8.5 cm of total length.
The second question is essentially answered by the first because the blank equation given in the first says
(initial length) + 1/2 * (mass added) = (total length)
The initial length will be a constant 7, the mass added we're told is to be x and the total length is to be y. Put those in their places and graph accordingly.
3) This is simply asking you to do what you've been doing, but in reverse. We have an equation, so we can now just plug in what we know and solve for what we don't.
7 + (x/2) = y
y = 9.2 in this case because it's representative of the total length, so we have
7 + (x/2) = 9.2
Now just solve for x.
Answer:
(a) The graphic representation is in the attached figure.
(b) .
(c) .
Step-by-step explanation:
(a) Given a complex number we know, from Euler's formula that . So, it is not difficult to notice that
so it is on the unit circumference. Also, notice that the Cartesian representation of the complex number is .
Now,
.
Notice that has the same modulus that , so it is on the unit circumference. Beside, its Cartesian representation is .
So, the points and are symmetric with respect to the X-axis. All this can be checked in the attached figure.
(b) Notice that
Then,
.
(c) Notice that
Then,
.