9514 1404 393
Answer:
y = 1
Step-by-step explanation:
Recognize that 25 and 125 are powers of 5 and rewrite the equation in terms of powers of 5.
The applicable rules of exponents are ...
(a^b)^c = a^(bc)
(a^b)/(a^c) = a^(b-c)
(a^b)(a^c) = a^(b+c)
__
Your equation can be written as ...
Now this can be solved as an ordinary linear equation.
8 = 8y . . . . . . add 5y to both sides
1 = y . . . . . . . divide by 8
The solution is y = 1.
Answer:
x = 256
Step-by-step explanation:
Remark
Interesting question. Thanks for posting.
The small triangle has the height as the missing side.
Part One: Givens
a = 144
b = height = ?
c = 240
a^2 + b^2 = c^2
144^2 + b^2 = 240^2
20736 + b^2 = 57600 Subtract 20736 from both sides
b^2 = 57600 - 20736
b^2 = 36864
√b^2 = √36864
b = 192
Solve for x
The relationship between the height (b) and 144 and x is
b^2 = 144 * x
36864 = 144x Divide by 144
x = 256
Answer:$1.25 per bagel
Step-by-step explanation:
5/4=1.25
The standard form of a parabola is
, where h and k are the coordinates of the vertex and the a is the value that either compresses it vertically or draws it out horizontally (aka stretched). The h value also indicates side to side movement, while the k value indicates up or down movement. The larger the a value, the closer the parabola "hugs" the axis of symmetry. All in all here, we have a parabola in g(x) that is vertically compressed and is moving down from its original vertex of f(x) which (0, 0) by 2 units. Therefore, our choice is b.
