Answer:
k = 12
Step-by-step explanation:
Given:
The equation 
To find:
Value of
for which the given equation has one distinct real solution.
Solution:
The given equation is a quadratic equation.
There are always two solutions of a quadratic equation.
For the equation:
to have one distinct solution:

Here,
a = 2,
b = -k and
c = 18
Putting the values, we get:

The equation becomes:

And the one root is:

Answer:
Check image
Step-by-step explanation:
Answer:
-8 feet
Step-by-step explanation:
63 - 71 = -8
2) Larger triangle is twice as large as the smaller one so x is 16
3) 16/12.8= 1.25 (This is the scale factor)
for y: 10/1.25=8
for x: 30/1.25=16
4) 8/6.4=1.25 (Scale factor)
for y: 14/1.25=11.2
for x: 15/1.25= 12
5) 22.5/9= 2.5 (scale factor)
for x: 12x2.5=30
for y: 35/2.5= 14
6) No because the scale factor is 2 but 14/8 does not equal to 2