Answer:
distributive property
Step-by-step explanation:
they distribute the 1 to the 3 and 7 to make it easier
hope this helps
Answer:
11.
Step-by-step explanation:
9 right, and 2 up
Answer:
the one with pink and white at the top, and the same one with purple and blue on the bottom
Step-by-step explanation:
the solid is made up of 2 regular octagons, 8 sides, joined up by 8 rectangles, one on each side towards the other octagonal face.
from the figure, we can see that the apothem is 5 for the octagons, and since each side is 3 cm long, the perimeter of one octagon is 3*8 = 24.
the standing up sides are simply rectangles of 8x3.
if we can just get the area of all those ten figures, and sum them up, that'd be the area of the solid.
Answer:
Step-by-step explanation:
we would like to solve the following equation for x:
to do so isolate to right hand side and change its sign which yields:
simplify Substraction:
get rid of only x:
simplify addition of the left hand side:
divide both sides by q+p Which yields:
cross multiplication:
distribute:
isolate -pq to the left hand side and change its sign:
rearrange it to standard form:
now notice we end up with a <u>quadratic</u><u> equation</u> therefore to solve so we can consider <u>factoring</u><u> </u><u>method</u><u> </u><u> </u>to use so
factor out x:
factor out q:
group:
by <em>Zero</em><em> product</em><em> </em><em>property</em> we obtain:
cancel out p from the first equation and q from the second equation which yields:
and we are done!