<u>Given</u>:
The coordinates of the points A, B and C are (3,4), (4,3) and (2,1)
The points are rotated 90° about the origin.
We need to determine the coordinates of the point C'.
<u>Coordinates of the point C':</u>
The general rule to rotate the point 90° about the origin is given by

Substituting the coordinates of the point C in the above formula, we get;

Therefore, the coordinates of the point C' is (-1,2)
Hello There!
145 is 23.39% of 620
<u><em>HOW TO SOLVE</em></u>
<u><em></em></u>
<u><em>Equation: Y = P% * X</em></u>
<u><em>We need to solve our equation for "P"</em></u>
<u><em>P% = Y/X</em></u>
<u><em>P% = 145/620</em></u>
<u><em>p = 0.2339</em></u>
<u><em></em></u>
<u><em></em></u>
<u><em>Convert decimal to percent:</em></u>
<u><em>Percent = 0.2339 * 100 = 23.39%</em></u>
Label each nut with a variable, c = cashews, p = peanuts.....
for a 10-pound mix, you will need c + p = 10
the price for 10-pounds would become 3.29 x 10 = 32.90
You will need an unknown amount of cashews at 5.60/lb and an unknown amount of peanuts at 2.30/lbs to get your full 10 pounds valued at 32.90
5.60c + 2.30p = 32.90
Now you 2 have a system of 2 equations and 2 unknowns
c + p = 105.6c + 2.3p = 32.9utilize substitution to solve:p = 10-c
5.6 c + 2.3 (10-c) = 32.9
solve for c then substitute back into c + p = 10 to solve for P
Hope this helps!
The rectangular prism has a volume of, 1/4 cubic meter.
Your equations are right. just use the substitution method to solve. substitute y because both have that on one side
it'll look like 40x+30=30x+60.
then just get x in one side. I showed my owrk in the photo