Answer:

Step-by-step explanation:
1) Simplify 1/3 ( x - 10) to x-10/3.

2) Multiply both sides by 3.

Simplify 4 × 3 to 12.

4) Add 10 to both sides.

5) Simplify -12 + 10 to -2.

So, therefor, the answer is, x = -2.
Answer:
Option d) is correct
That is x equals plus or minus start fraction 11 over two end fraction
Step-by-step explanation:
Given quadratic equation is 
To write the given quadratic equation by using a difference-of-squares factoring method:

The above equation can be written as


The above equation is in the form of difference-of-squares
Therefore the given quadratic equation can be written in the form of difference-of-squares
by factoring method is 
(which is in the form
)
2x+11=0 or 2x-11=0
or 
or 

Therefore option d) is correct
That is x equals plus or minus start fraction 11 over two end fraction
ΔABC is a 45 - 45 - 90 triangle. The pattern of its sides is as follows:
Each leg = 1 unit (and both legs are that way, since the triangle is isosceles - so two sides are the same)
Hypotenuse = √2 units.
So if we know either leg, we multiply by √2 to get the hypotenuse. In reverse, we divide by √2 if we know the hypotenuse to get the measurement of a leg.
Our problem tells us that the hypotenuse AC is 10 units. We divide 10 by √2 to get the measurement of leg AB. Since it's a 45 -45 - 90 triangle, AB = BC.

to rationalize the radical

Thus, each leg is 5\sqrt{2} [/tex].
Answer:
No the answer is 35! :)
Step-by-step explanation:
When you raise a negative integer (in this case -1) to an even integer (30), the end result will be positive (1), but when you raise it to an odd integer (31), the end result will be negative (-1). The sign of the product fluctuates between positive and negative depending on the type of integer it’s raised to.