Answer:
b = √(c^2 - a²)
Step-by-step explanation:
Start with the given c = √a^2 + b^2. Squaring both sides, we get:
c² = a² + b².
We want to iosolate b² and then b.
So: subtract a² from both sides, resulting in:
c² - a² = b²
Taking the square root of both sides, we get:
√b² = √(c² - a²)
and so:
b = √(c^2 - a²)
For this case we have that by definition, the equation of a line in the slope-intersection form is given by:

Where:
m: It is the slope of the line
b: It is the cut-off point with the y axis

We have the following points:

Substituting we have:

Thus, the equation is of the form:

We substitute one of the points and find "b":

Finally, the equation is of the form:

Answer:

Answer:
your picture doesnt show all the answers but it doesnt matter well just count it
surface area = (length x width) + (width x height) + (height x length) and the answer we times it by 2 (cuz they are 6 sides in a prism)
so 4 x 5 + 5 x 10 + 10 x 4 = 110
110 x 2 = 220in²
Answer:
The vertex of this equation is (2, -7)
Step-by-step explanation:
In order to find the vertex of this equation we start with the base form of the vertex form.
y = a(x - h) + k
With this equation (h, k) is the vertex. You can see that 2 lines up with h and -7 lines up with k. This shows that (2, -7) is the vertex.