I'm assuming you meant to write a^4 = 625.
If that is the case, then note how 625 = 25^2, and how a^4 is the same as (a^2)^2
So we go from this
a^4 = 625
to this
(a^2)^2 = 25^2
Apply the square root to both sides and you'll end up with: a^2 = 25
From here, apply the square root again to end up with the final answer: a = 5 or a = -5
As a check:
a^4 = (-5)^4 = (-5)*(-5)*(-5)*(-5) = 25*25 = 625
a^4 = (5)^4 = (5)*(5)*(5)*(5) = 25*25 = 625
Both values of 'a' work out
Answer:
Hey there!
y=3/4x shows that the y-value is always 3/4 of the x-value.
Thus, if x is 4, y is 3. It always fits the 4:3 ratio.
The ordered pairs that satisfy this equation are: 28:21 and 16:12
Let me know if this helps :)
Answer:
x-intercept(s): (-28, 0)
y-intercept(s): (0, -20)
Step-by-step explanation:
Try This Answer.
Answer:
21.9
Step-by-step explanation:
The altitude of an isosceles triangle bisects the base. So, x represents the hypotenuse of a right triangle with legs of 9 and 20. It can be found using the Pythagorean theorem:
x^2 = 9^2 +20^2 = 81 +400
x = √481 ≈ 21.932
The length x is about 21.9 units.