If you look carefully at the graph, you may see that the slope of the line is
3-4 -1
---------------- = ------ = m
7-4 3
thus, you have the slope of the line and two points on the line. Suppose we
choose the point (4,4) and subst. the known slope and the coordinates of this point into the point-slope formula for the eqn of a str line:
y-y1 = m (x-x1)
y-4 = (-1/3)(x-4)
This is the desired equation. You could, if you wished, change this into slope-intercept form.
Pythagoras theorem: leg 1 squared + leg 2 squared = hypotenuse squared
In the diagram, the triangle has angles 90 and 45. So the other angle in the triangle must be 45 degrees as well. (180 - 90 -45 = 45)
This means it is an isosceles triangle (since two angles are the same), so the two legs have the same length.
So we can say that length of leg1 = x, and the length of leg2 also equals x
Now let's use pythagoras' theorem:
leg1 = x
leg2 = x
hypotenuse = 16
x^2 + x^2 = 16^2
2x^2 = 16^2
2x^2 = 256
x^2 = 128
x = √(128)
x = 8√2
Answer:
B and C
Step-by-step explanation:
The 2 smallest numbers have to add up to be bigger then the largest number in the set for it to be a triangle! I hope this helps!
For your first question:
your answer is D. She drank the most on October 12th and the least on October 2nd.
On October 12th, she drank 12 juice boxes, while on October 2nd she drank only 2.
Answer for the second question.
your answer is D) Point B. x is the line that goes from left to right, and y is the line that goes up down. To find (1,3), 1 is your x and 3 is your y. so when you match it up, you get Point B.
hope this helps
The answer is...95/3...or 31.67