Answer:
x = 4.363636...
Step-by-step explanation:
Set up a ratio
6 miles : 55 minutes
x miles : 40 minutes
Cross Multiply
55x = 40*6
55x = 240
55x / 55 = 240 / 55
x = 4.363636...
(a + b)^3 = a^3 + 3a^2b + 3ab^2+ b^3
(a +(- b))^3 = (a-b)^2 = a^3 - 3a^2b + 3ab^2- b^3
Answer:
15/2
Step-by-step explanation:
Hello,
the area of a triangle is b*h/2
we can set BC as the base because AC is harder to calculate.
Then we draw an imaginary height.
There's no way to really explain, but the height would be 5 here, since 3 - -2 = 5
The base is 3
3*5/2 = 15/2
Thanks,
lacampanella
Answer:
a reflection over the x-axis and then a 90 degree clockwise rotation about the origin
Step-by-step explanation:
Lets suppose triangle JKL has the vertices on the points as follows:
J: (-1,0)
K: (0,0)
L: (0,1)
This gives us a triangle in the second quadrant with the 90 degrees corner on the origin. It says that this is then transformed by performing a 90 degree clockwise rotation about the origin and then a reflection over the y-axis. If we rotate it 90 degrees clockwise we end up with:
J: (0,1) , K: (0,0), L: (1,0)
Then we reflect it across the y-axis and get:
J: (0,1), K:(0,0), L: (-1,0)
Now we go through each answer and look for the one that ends up in the second quadrant;
If we do a reflection over the y-axis and then a 90 degree clockwise rotation about the origin we end up in the fourth quadrant.
If we do a reflection over the x-axis and then a 90 degree counterclockwise rotation about the origin we also end up in the fourth quadrant.
If we do a reflection over the x-axis and then a reflection over the y-axis we also end up in the fourth quadrant.
The third answer is the only one that yields a transformation which leads back to the original position.
