Answer:
a = 14
Step-by-step explanation:
<u>Step 1: Write out your problem</u>
f (a) = 5a + 14 | f (a) = 0
<u>Step 2: Solve</u>
f (a) = 5 (0) + 14 , Input a.
f (a) = 0 + 14 , 5 x 0 = 0
(a) = 14 , 0 + 14
a = 14
Answer:

For this case m represent the slope and is given by
and from the other condition given we know that
. And replacing we got:

And if we reorganize the terms we have:

And subtracting 3 in both sides we got:

Step-by-step explanation:
For this case we have the following function y=g(x) and we want to find the tangent line to this function using the conditions: 
So we need a function like this one:

For this case m represent the slope and is given by
and from the other condition given we know that
. And replacing we got:

And if we reorganize the terms we have:

And subtracting 3 in both sides we got:

Answer:
<h2>
1.5</h2>
Step-by-step explanation:
We are given two points. Let the points be A and B
A ( 8 , -2 ) ------> ( x1 , y1 )
B ( 12 , 4 ) ------> ( x2 , y2 )
Now, let's find the slope of the given points:

plug the values

When there is a ( - ) in front of an expression in parentheses , change the sign of each term in the expression

Subtract the numbers

Add the numbers

Reduce the fraction with 2


Hope this helps..
Best regards!!
Answer:
3
Step-by-step explanation:
5/2 ÷ 5/6 = 5/2 × 6/5
5/2 × 6/5 = 30/10 or 3
Length of OP= sqrt 10
Length of PQ= sqrt(t^2+2t+2)
Length of OQ= sqrt(t^2+16)
Using Pythagoras thorem,
10+ t^2+2p+2=t^2+16
t=2