9.10
+2.53
————
11.63
Just add the rows from the top to the bottom
Answer:
<em> y = 4.25x</em>
Step-by-step explanation:
Given that:
After 2 week he has used 8 1/2 cups of dog food after 5 week he has used 21 1/4 cups, we can write this in coordinate form (x, y) where;
y is the amount of dog food
x is the time in weeks
The coordinates are (2, 8 1/2) and (5, 21 1/4)
get the slope m:
m = y2-y1/x2-x1
m = (21 1/4 - 8 1/2)/5-2
m = (85/4-17/2)/3
m = (85-34/4)/3
m = 51/12
m = 4.25
Get the intercept c:
Substitute any of the points say (2, 17/2) and m = 51/12 into the equation
y = mx+c
17/2 = 51/12(2) + c
17/2 = 51/6 + c
c = 17/2 - 51/6
c = 51-51/6
c = 0
Get the required equation:
substitute m - 4.25 and c = 0 into y = mx+c
y = 4.25x + 0
<em>Hence the required equation is y = 4.25x</em>
<em></em>
Answer:
-0.5, 2, 4.5, 7, 9.5
Step-by-step explanation:
The given terms are 6 apart, so the common difference is 1/6 of their difference:
d = (12 -(-3))/6 = 15/6 = 5/2 = 2.5
Add 2.5 to each term to get the next one. Then the sequence is ...
-3, <u>-0.5</u>, <u>2.0</u>, <u>4.5</u>, <u>7.0</u>, <u>9.5</u>, 12
Answer:
Step-by-step explanation:
Discussion
You are working with the Cosine of the angle.
Hypotenuse = 12.5
Base = 3
Theta = ?
Solution
Cos(theta) = base / hypotenuse Substitute values
Cos(theta) = 3 / 12.5 Divide
Cos(theta) = 0.24 Tale the inverse cos
theta = cos-1(0.24)
theta = 76.11 degrees
First vector orthogonal<span> to ⟨−</span>3<span>,4</span>
