Answer:
26
Step-by-step explanation:
8+10+8=26
-105
Multiply first, then subtract, then add.
Answer:
about 29.7 minutes
Step-by-step explanation:
If it take c minutes for Charles to mow the lawn by himself, it takes c+16 minutes for Peter. The two of them working together can mow in one minute this fraction of the entire lawn:
1/c + 1/(c+16) = 1/18
Multiplying by 18c(c+16), we get ...
18(c +16) + 18(c) = c(c+16)/18
36c +288 = c^2 +16c
c^2 -20c = 288 . . . . . subtract 36c
c^2 -20c +100 = 388 . . . . . add (20/2)^2 = 100 to complete the square
(c -10)^2 = 388
c = 10 +√388 ≈ 29.6977 . . . . . take the positive square root
It takes Charles about 29.7 minutes to mow the lawn by himself.
Step-by-step explanation:
let equation be y = mx + b.
m = (9-5)/(3-1) = 2
sub (1, 5):
5 = 2(1) + b
b = 3
therefore the equation: y = 2x + 3
Topic: coordinate geometry
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Answer:
(-2, -1)
Step-by-step explanation:
This is a quadratic equation in standard form, and a = 1, b = 4 and c = 3.
The x-coordinate of the vertex is given by the formula
-b -4
x = --------- which here has the numerical value x = -------- = -2
2a 2
Finally, we evaluate y=x^2+4x+3 at x = -2 to find the y-coordinate of the vertex:
y = (-2)^2 + 4(-2) + 3 = -1
The vertex is at (-2, -1).
