Answer:
c = 41 ft
Step-by-step explanation:
To solve this problem, we can use the pythagorean theorem, which is defined by the formula 
. We are given both the lengths of the legs, so all we need to do is to plug them both in and solve for c:
This is the first option.
Answer:
62.8 feet
Step-by-step explanation:
Radius of the fencing is:
6+4 = 10 feet
Circumference = 2×pi×r
= 2×pi×10
= 20pi
= 62.83185307 feet
Answer:
y = x
Step-by-step explanation:
Since the quantities form a proportional relationship then the equation relating them is
y = kx ← k is the constant of proportion
The constant k is found using any ordered pair from the graph
Using (4, 4 ) , then
4 = 4k ( divide both sides by 4 )
1 = k
y = x ← equation of proportion
To do this, we will need to compare the slopes and the y int. So we will put each equation in y = mx + b form, where m will be the slope and b will be the y int..
4x + 5y = 10
5y = -4x + 10
y = -4/5x + 2.....the slope here is -4/5...the y int is 2
5x - 4y = 28
-4y = -5x + 28
y = 5/4x - 7...the slope here is 5/4...and the y int is -7
for the lines to be parallel, they would need the same slope and different y intercepts. So, as u can see, they are not parallel because they do not have the same slope.
for the lines to be perpendicular, the lines would have to have negative reciprocal slopes. They do....u have perpendicular lines. To find the negative reciprocal of a number, u flip the number and change the sign. One line had a slope of -4/5....the negative reciprocal is : flip the number making it -5/4....change the sign, making it 5/4...which is the slope of the other line...so these slopes are negative reciprocals.
so u have perpendicular lines
