Answer:
(a)80 feet
(b)$120,000
Step-by-step explanation:
<u>Part A</u>
<u>Intersecting Secant-Tangent Theorem</u>
If a tangent segment and a secant segment are drawn to a circle from an exterior point, then the square of the measure of the tangent segment is equal to the product of the measures of the secant segment and its external secant segment.
In the attached diagram, the theorem applied is:

Comparing with our diagram:
|AX|=30 feet
|UX|=10 feet
Length of the Bridge,L
Therefore:

900=10(L+10)
L+10=900/10
L+10=90
L=90-10=80 feet
Length of the Bridge=80 feet
<u>Part B</u>
If each foot costs $1500
Cost of the bridge=$1500*80=$120,000
Answer:

Step-by-step explanation:
The given differential equation is :
xy′−3y=6
We want to determine which of the following options is a solution to the differential equations.
The function that satisfies the differential equation is a solution.
We can verify that

satisfy this differential equation.
We differentiate to get:

We substitute the function and its derivative into the differential equation to get:

We expand and simplify on the left:

This simplifies to:

Verified.
We can show that all the other functions do not satisfy this differential equation
Answer:
7 + x/8
Step-by-step explanation:
sum of 7 and Q(quorient)
7 + Q
quotient of x and 8
x/8
plus 7
7 + x/8
Answer:
Slope = 5
Step-by-step explanation:
Standard slope intercept form: y = mx + b
where m = slope of the function
so m = 5
Hope this helps!