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
Point-slope form is written as : y - y1 = m(x - x1), where m is the slope and (x1, y1) is the point.
The slope (m) is found by the change in Y over the change in X
Slope = (y2 - y1) / (x2 - x1)
You can use either given point for x1 and y1 so you would calculate the slope and replace m with the slope, then replace x1 and y1 in the equation with their value.
Answer:
The answer for f(2) is 11.
Step-by-step explanation:
f(x) = 3x2 + 2x - 5
f(2) = 3(2)2 + 2(2) - 5
f(2) = 6(2) + 4 - 5
f(2) = 12 + 4 - 5
f(2) = 16 - 5
f(2) = 11
Step-by-step explanation:
X=y-5
Now,
4x-y=4
4(y-5)-y=4
4y-20-y=4
3y=24
Y=8
Substituting the value of y
8-5=x
X=3
