This uses the Pythagorean Theorem, which is a^2 + b^2 = c^2 . All you need to do is switch that formula around and you can get the answer easily.
10^2 + b^2 = 16^2
100 + b^2 = 256
b^2 = 156
b= 12.489, or 12.49 rounded
Answer:
Position of point X on the number line must be X = -27
Step-by-step explanation:
Notice that there are 14 units between W and Y, since the absolute value of their difference is :
| -15-(-29) | = | -15 + 29 | = 14
Now let's write an equation that tells as what is the distance between W and X in terms of WY knowing that we want WX to be 1/7 of WY:

This is telling us that the point X must be located two (2) units to the right of point W. That is W + 2 = -29 + 2 = -27
Position of point X on the number line must be X = -27
Answer:
50% increase
Step-by-step explanation:
half of 6 is 3 thus 50%, and vise versa.
Answer:
Solution
Step-by-step explanation:
Rewrite logx729= 3 is an exponential form using the definition of a logarithm. If x and b are positive real numbers and b≠1, then logb(x)= y is equivalent to b^y = x.
X^3 = 729
Take cube root on both side and we get
x= 3√729
now we firstly simplify the 3√729
Rewrite 729 as 9^3
x = 3√9^3
pull terms out from under the redical, assuming positive real numbers
x=9
verify each of the solution by substituting them into logx729=3 and solving.
x= 9