Answer:
e) 36x² - 32y³ = (4)(9x² - 8y³)
f) 45a⁴ - 54a³ = (9a³)(5a - 6)
Step-by-step explanation:
e) 36x² - 32y³ = (4)(9x² - 8y³) becuase 4*9 = 36 and 4*8 = 32
f) 45a⁴ - 54a³ = (9a³)(5a - 6) becuase 9*5 = 45 and 9*6 = 54 and when a is multiplied by a³ you get a⁴
(the exponent are added)
PLEASE RATE!! I hope this helps!!
If you have any questions comment below
5|2x-2|+8=18
5|2x+2|=10
|2x+2|=2
by removing the absolute and but + or -
(2x+2) = 2 & (2x+2)=-2
so , x = 0 & x=-2
so it is the second answer
Let's begin noting that a triangle is isosceles if and only if two of its angles are congruent. We can thus find the angle <ABP, recalling that the sum of the interior angles of a triangle is equal to 180°.
Finally, let point K be the intersection between segments BC and PQ, and let's note that the triangle PQB is a right isosceles triangle, since all the angles in a square are equal to 90°, and the two triangles APB and BQC are congruent.
Therefore, the angle BKQ is equal to 180-50-45=85°.
Of course angle BKP=180-85=95°.
Hope this helps :)
Answer:
One days trip of to school from home and back home from school is 2/3 of a mile. We want to know how far it is to school from her house.
To solve this, we simply need to take half of the total distance (2/3)
\frac{2}{3} / 2
Next, we need to turn the 2 into a fraction. Every whole number can be made into a fraction by putting it over 1.
\frac{2}{3} / \frac{2}{1}
Because we are dividing, we need to invert the second fraction and then multiply.
\frac{2}{3} * \frac {1}{2}
Next, we multiply the top of the first fraction by the top of the second and the bottom of the first fraction by the bottom of the second.
\frac{2}{6}
Once you reduce, you get:
\frac{1}{3}
(x + y)^2 = (x^2 - 2xy + y^2)
First distribute the ^2 on the left side of the equation to each term inside the parenthesis:
x^2+ 2xy + y^2
Now pick one of the variables to solve for and isolate it:
(solving for x)
x^2 + 2xy + y^2 = x^2 - 2xy + y^2
x^2+ 2xy = x^2 - 2xy
2xy = -2xy
-x = x
x = 0
When you solve for y in the equation it will turn out to be 0 as well
