Simply simplification...
1/3, my friend is the most basic simplification.
or 5/15, 10/30, 2/6, etc, etc...
Answer:
A
Step-by-step explanation:
Look at the graph of the relationship. Find the y-value of the point that corresponds to x = 1. That value is the unit rate
Answer:
2) Yes, each x-coordinate is only used once.
3) {1,2,3,4}
4) {25,45,60,70}
5) (3,60)
6) No because (4,7) and (4,25) share the same x-coordinate.
Step-by-step explanation:
A relation is a function if there is no more than one y-value assigned to an x.
Any x used can only be used once in an order pair.
You that here.
(1,25)
(2,45)
(3,60)
(4,70)
So basically because all of the x-coordinates are different, this is a function.
The domain is the x-coordinate of each pair (the first of each pair):
{1,2,3,4}.
The range is the y-coordinate of each pair (the second number of each pair):
{25,45,60,70}.
One ordered pair that I see in the table is (3,60). There are 3 others you can choose and I named them above.
{(4,10),(3,15),(1,5),(2,25),(4,25)} is not a function because there are more than one pairs with the same x-coordinate,4.
Answer:
Step-by-step explanation:
1. Area of base
The radius given is that of the circumcircle.
The general formula for the edge length a of a regular polygon is
a = 2Rsin(π/n)
So,
a = 2 × 5 × sin(π/5) = 10sin0.6283 = 10 × 0.5878 = 5.878 in
The general formula for the area of a regular polygon is
A = ¼na²cot(π/n)
So,
A = ¼ × 5 × 5.878²cot(π/5) = ¼ × 5 × 5.878² × 1.376 = 59.44 in²
2. Lateral area
The general formula for the lateral area L of regular prism is
L = nah
So,
L = 5 × 5.878 × 12 = 352.7 in²
3. Total area
Total surface area = lateral area + 2×base area
S = L + 2B = 352.7 + 2 × 59.44 = 471.6 in²
Answer:
The 1st one is y = 11.
The 2nd one is y = 5.
The 3rd one is v = -5.
The 4th one is y = 9.
Step-by-step explanation:
1) -38 = 7y + 17 - 12y
-38 = -5y + 17
-55 = -5y
11 = y
2) 5y + 6 - 12y = -29
-7y + 6 = -29
-7y = -35
y = 5
3) -12v - 9 + 7v = 26
-5v - 9 = 26
-5v = 35
v = -5
4) -5y + 2(y + 2) = -5
-5y + 4y + 4 = -5
-y + 4 = -5
-y = -9
y = 9
