To find the domain of a function with a root, you set it ≥ 0
So, the equation will look like this:
8 - 8x ≥ 0
-8x ≥ 8
-8x ÷ 8 ≤ 8 ÷ -8
x ≤ 1
Therefore, the domain is
(-∞, 1]
Answer:
Step-by-step explanation:
To calculate the lenght of the diagonal d across the square, we can assume that the square it is compound of two right triangles. So, we can resolve this exercise using The Pythagorean Theorem.
<em>The Pythagorean theorem</em> states that in every right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the respective lengths of the legs. It is the best-known proposition among those that have their own name in mathematics.
If in a right triangle there are legs of length a and b, and the measure of the hypotenuse is c, then the following relation is fulfilled:
a is the height, b is the base, and c is
the hypotenuse.
To obtain the value of the hypotenuse
To find the value of the lenght of the diagonal d across the square, we have:
Where a = b = 20
Substituting the values
Round the answer to 2 decimal places
Answer:
5.) 12 over 7.
Extra credit: x = 5 outside the sqrt 2, or x= -5 outside the sqrt 2.
Step-by-step explanation:
You apply radical rule: n sqrt a/b = nsqrt a over n sqrt b, assuming a equals > or equal to 0, and b the same thing. which gives you sqrt 144 over sqrt 49. So the sqrt of 49 =7 which is the denominator. so now this gives you sqrt 144 over 7. Then do the same thing with the sqrt 144. So the sqrt of 144 =12. So now the problem is 12 over 7 is simplified.
Extra Credit explanation:
6x^2+10=310. First thing we want to do is get the 6x^2 by itself. To do this we are going to subtract 10 from the 310. So it should look like 310-10. you should get 300. So now the equation looks like 6x^2=300. Now, you are going to divide the 6x^2 by 6 and 300 by 6. you get x^2=50. for x^2 = f(a) the solutions are x= sqrt f(a), -sqrt f(a). Doing this we get x= sqrt 50 and x = -sqrt 50. Sqrt 50 is 5 sqrt 2. -Sqrt 50 is -5 sqrt 2. so the answers are x=5sqrt 2 and x=-5 sqrt 2
Answer:
y=2
Step-by-step explanation:
8y-5y-13=-7
3y-13=7
3y=-7+13
3y=6 /3
y=2