Answer:
A. square root of a^2 + b^2 for both answers
Step-by-step explanation:
The first problem, we are given
a^2 + b^2 = c^2
What we do is solve for c.
sqrt(a^2 + b^2) = c
c = sqrt(a^2 + b^2)
For problem 2,
WE can apply the Pythagorean theorem because we have a right triangle.
The equations is
a^2 + b^2 = c^2 like the first problem
Solving gets us
sqrt(a^2 + b^2) = c
c = sqrt(a^2 + b^2)
Answer:
0.056
Step-by-step explanation:
:) hope this helps
Answer:
diameter of a circle = 12cm
Step-by-step explanation:
Area of a circle = πr²
113.04 cm² = πr²
First, search for radius (r) :-
r = √(113.04/π)
r = 6 cm
As diameter is equals to 2×radius
The diameter of a circle = 2 × 6cm
Final answer = 12 cm
Answer:
you need 100ml of 5X TAE and 400ml of water.
Step-by-step explanation:
You need to use a rule of three:

where:

and

Therefore:


Then just rest the TAE volume to the final Volume and you get the amount of water that you need to reduce the concentration.
Let's first rewrite it in vertex form.
Start by completing the square.
y = x² + 4x + 4 - 4 - 1
y = (x + 2)² - 5
(x + 2)² = y + 5
Now, 4a = 1; a =

So, the vertex form is (x + 2)² = 4(

)(y + 5)
So, we know that the vertex is at (-2, -5).
Since it's a concave up parabola, we just have to change the y-value to find the focus.
∴ F(-2, -5 +

)
F(-2,

)