3p² - 2p - 5 = 0
3p² + 3p - 5p - 5 = 0
3p(p + 1) -5(p + 1) = 0
(3p - 5)(p + 1) = 0
p = 5/3 or -1
Hope this helps!
T=650mi(hr/50mi)=13 hr
t-1=12 hr
12=650/(50+v) multiply both sides by 50+v
600+12v=650 subtract 600 from both sides
12v=50 divide both sides by 12
v=25/6 mph
v≈4.17mph
Answer: z = 
Step-by-step explanation:
To find <em>z</em>, you must set up a proportion to solve.
To find the altitude of a special right triangle, the formula is:
You can use <em>5</em> as <em>a</em> and <em>2</em> as <em>b</em> to complete the proportion:
Next, to solve:
<u>Step 1</u>: Cross-multiply.
(5)*(2) = z*z
10 = z²
<u>Step 2</u>: Take square root.
10 = z²
√10 = z
I hope this helps!
Answer:
x = 4, y = 2
Step-by-step explanation:
Start by multiplying the first equation by 2:
2x + 2y = 12 --> 4x + 4y = 24
Subtract the second from the first:
4x + 4y = 24
- 5x + 4y = 28
4x - 5x = -x
4y = 4y = 0
24 - 28 = -4
so you end with -x + 0 = -4
Solve for x to get x = 4
Plug x = 4 back into 2x + 2y = 12 to find y.
2(4) + 2y = 12
8 + 2y = 12
2y = 4
y = 2
