Hello :
PA = PB or PA² = PB²
(5-b)²+(4-2)² = (2-b)² + (5-2)²
(5-b)²+4 = (2-b)² + 9
25 -10b +b² + 4 = 4 -4b+b² +9
-6b = -16
b = 8/3
Answer:308? Good luck
Step-by-step explanation:
<span>So we need to find the lenght of side a of a right triangle if we know b=13 and c=21 and c is the hypotenuse and we need to round the number to the nearest hundreth. So we can do that with Pythagorean theorem which states that: a^2 + b^2 = c^2. Now we simply put b^2 to the right side and find a^2 as: a^2=c^2 - b^2. Lets plug in the numbers and we will get a= sqrt (21^2 - 12^2)=16.492422. When we round it to the nearest hundreth a= 16.49.</span>
Answer:
f(-4) = 6
f(0) = -6
f(1) = -4
On a coordinate plane, a parabola opens up. It goes through (negative 4.25, 10), has a vertex of (negative 0.5, negative 6.2), and goes through (3.25, 10). Solid circles appear on the parabola at (negative 4, 6), (negative 2, negative 4), (negative 1, negative 6), (0, negative 8), (1, negative 4), (2, 0), and (3, 6).
Step-by-step explanation:
hope it helps
For this case we have that by definition, the equation of a line in the slope-intersection form is given by:

Where:
m: It's the slope
b: It is the cut-off point with the y axis
According to the statement we have the following equation:

The slope is:

By definition, if two lines are parallel then their slopes are equal. Thus, a parallel line will have slope
. Therefore, the equation will be of the form:

In the statement they tell us that
substituting we have:

Answer:
The equation is:
