Answer:
<em>The base is 24 cm long.</em>
Step-by-step explanation:
<u>Equations</u>
Let's call
b= base of the triangle
h=height of the triangle
The base is 9 cm longer than the height, thus:
b = h + 9
The area of the triangle is:


And its value is 180:

Multiplying by 2:

Operating:

Factoring:

The only valid positive solution is:
h = 15 cm
And b = h + 9 = 24
b = 24 cm
The base is 24 cm long.
Answer:
n=6
Step-by-step explanation:
(n-18)/3 = -4
multiply by 3
n-18 = -12
add 18
n = 6
Answer:
Previous balance = $199.19
Annual rate =14%
finance charge=14%of $198.19=$27.7466
New balance =$199.19+$27.7466-$97.50-$75.75=$53.6866
Answer:
D
Step-by-step explanation:
A, B, and C are not linear functions
D would be y=x/2
If you graphed y=x/2, you would get the points (4, 2), (7, 3.5), (8, 4), and (10, 5)
It's more obvious if you notice that y is half of x.
Here we go.
1) x/5 - 4h = 35
2) {(6-p)/3}+8
3) This is just 1.4k, since the distance you're trying to find is 1.4 times k feet.
You can include a diagram easily enough. Just draw a baseball diamond and two lines, one connecting first and third base and labeled 1.4k, while the other line, connecting home to third, is labeled k.
Hope that helped!