You plug in 25 for "P", and 7 for "a" and "b", then you find "c". The answer is 11.
Answer:
7.5
Step-by-step explanation:
By intersecting secants theorem:

Answer:
Step-by-step explanation:
The diagonal of a rectangular prism can be found with 
. Thus, the diagonal is 
Hope it helps <3
Answer:
The length of line segment is 5
Step-by-step explanation:
we are given equation of parabolas as


Firstly, we will find intersection points
we can set them equal
and then we can solve for x

Multiply all sides by 8



now, we can factor it



now, we can find y-values
At x=-1:

y=2
so, we get point as
(-1,2)
At x=3:

y=-1
so, we get point as
(3,-1)
now, we can find distance between these two points
(-1,2)
x1=-1 , y1=2
(3,-1)
x2=3 , y2=-1
now, we can find distance

now, we can plug values


So,
The length of line segment is 5
Option A:

Solution:
<u>To evaluate tan(105)°:</u>
105° can be written as sum of 60° and 45°.
tan(105)° = tan(45 + 60)°
Using the summation identity:


We know that, tan(45)° = 1 and tan(60)° = √3
Substitute this in the above equation.


To rationalize the denominator multiply by the conjugate
.

Using exponent formula:
and 

Using exponent formula: 





Hence option A is the correct answer.