3.
x = 3 because the 2 legs of 45-45-90 triangle are equal
y^2 = 3^2 + 3^2 = 18
y = sqrt 18 = 3 sqrt2
RS is perpendicular to MN and PQ.
We can use the slopes of these lines to determine the answer.
Slope is given by the formula
m=.
Using the coordinates for M and N, we have:
m=.
Since PQ is parallel to MN, its slope will be as well, since parallel lines have the same slope.
Using the coordinates for points T and V in the slope formula, we have
m=.
This is not parallel to MN or PQ, since the slopes are not the same.
We can also say that it is not perpendicular to these lines; perpendicular lines have slopes that are negative reciprocals (they are opposite signs and are flipped). This is not true of TV either.
Using the coordinates for R and S in the slope formula, we have
m=. Comparing this to the slope of RS, it is flipped and the sign is opposite; they are negative reciprocals, so they are perpendicular.
Answer:
We have the system of equations:
y=1/3x+5
y=2/3x+5
To solve it graphically, we need to graph both lines and see in which point the lines intersect.
You can see the graph below, and you can see that the lines intersect in the point (0, 5)
Now, we can also solve this analytically.
We can use the fact that for the solution, we need y = y.
Then we can write:
(1/3)*x + 5 = (2/3)*x + 5
First, we can subtract 5 in both equations to get:
(1/3)*x = (2/3)*x
This only has a solution when x = 0.
Replacing x = 0 in one of the equations, we get:
y = (1/3)*0 + 5 = 5
Then the solution is x = 0, and y = 5, as we already could see in the graph.
Hello!
So, we know that the length of the rectangular basketball court is 84 ft, and the width is 50 ft.
The formula for perimeter of a rectangle is:
P = 2l + 2w
This means that we need to multiply the length by two and the width by two as well.
Substitute:
P = 2(84) + 2(50)
P = 168 + 100
P = 268 ft
ANSWER:
The perimeter of the basketball court is 268 feet long.
3. No it is not on the graph.
because: y=2x+5 insert (5,6)
6=2x5 +5 is wrong
4. C
