Answer:
As shown in picture:
A(-4, 1)
Z(-2, 3)
P(3, -4)
The length of AZ is calculated by:
L = sqrt((-4 - -2)^2 + (1 - 3)^2) = 2.83
The length of AP is calculated by:
L = sqrt((3 - -4)^2 + (-4 - 1)^2) = 8.60
THe length of ZP is calculated by:
L = sqrt((3 - -2)^2 + (-4 - 3)^2) = 8.60
=>Perimeter of triangle AZP is calculated by:
P = AZ + AP + ZP = 2.83 + 8.60 + 8.60 = 20.3
Hope this helps!
:)
Answer:
666 2/3 gallons per minute
Step-by-step explanation:
1 valve: 40,000 wps
60 seconds in 1 minute,
40,000 / 60 = 666 2/3
Use the formula i = p*r*t:
$456
$456 = $1600*r*6. Solving for r, r = ----------------- = 0.0475, or 4 3/4%
($1600)(6)
Answer:
35/100
Step-by-step explanation:
You have to find how many juniors there are, so if you add 13, 20, and 2 you get 35. For the denominator you have to find the total number of students, so just add all of the numbers together to get 100. So there is a 35/100 chance that a randomly selected student is a junior.
<u>Answer:
</u>
The equation in slope intercept form for (5,9) and (6,8) is y = 3x-10
<u>Solution:
</u>
Given that (5,9) and (6,8)
Here, 
We know the slope of an equation is given by y = mx+c
To find the value of m, we use the below given formula

Substituting the values we get,


m = 3
Putting the value of m in the slope intercept form we get,
y = 3x+c
To find the value of c, we substitute the value of x and y from any two given point. Let’s take x = 5 and y = 5
5 = 3(5) + c
5 = 15 +c
5-15 = c
c = -10
Therefore the slope intercept equation becomes y = 3x -10