Answer:27
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
p³ - 216q³ ← is a difference of cubes and factors in general as
a³ - b³ = (a - b)(a² + ab + b²) , then
p³ - 216q³
= p³ - (6q)³
= (p - 6q)(p² + 6pq + 36q²) → C
Any relation is x and y is said to be a Direct variation if one is a constant multiplier of the other .In other words we can say : when one variable changes the other changes in proportion to the first.
The Direct variation equation are of the type y=k.x
Here k is known as constant of proportionality .It has a fixed value.
The given equation is y=
If we compare this equation with y=k.x
Then k=
Answer:
a)it is a 45 degree angle
b) Enzo saves 8 minutes if he takes the shortcut
Step-by-step explanation:
a) In the picture it looked like a square and if Rutherford street is 1.2 km so is Orchard avenue, and if its a true square it must be 90 degrees so you cut that is half and you get your answer of 45 degrees .
b) It takes Enzo 20 min to walk the shortcut and his walking speed is 6 km/h
you divide 20 by 1.3 or one third and you get 2 so the short cut is 2 km long, and we know Rutherford st. and Orchard ave. is 1.2 km each
2.4 km=length of Rutherford and Orchard together
shortcut is 2 km
divide 2.4 by 0.4 or .4 and you get 6
so if it takes him 20 min on the shortcut it should save him 8 minutes.
the question wnats us to find the correct regrouping strategy for solving 57 x 18
in othe r to get the correct re-grouping strategy, we must first know what it entails.
57 x 18 = 1026
so, the correct regrouping strategy will be the one that will be equal to 1026 when summed up
so,
50x10; 7x10; 50x8; 7x8
= 500 + 70 + 400 + 56
= 1026
therefore the correct option is A