Answer:
6cm is the missing length
Step-by-step explanation:
See the 10cm and the 4cm?
If you look at in a way if you added 6 more centimeters to the 4cm it would be 10, leaving 6cm as the missing length.
Answer:
(3,-25)
Step-by-step explanation:
Answer:
y = 3.5x - 12.5
Step-by-step explanation:
First, find the slope using rise over run (y2 - y1 / x2 - x1) with the 2 points:
(-2 - 5) / (3 - 5)
-7/-2
= 3.5
Then, plug the slope and a point into y = mx + b to solve for b:
y = mx + b
5 = 3.5(5) + b
5 = 17.5 + b
-12.5 = b
Plug the slope and the y intercept into the equation y = mx + b
y = 3.5x - 12.5 will be the equation
In a 30 - 60 - 90 triangle the side opposite the hypotenuse is 1/2 the hypotenuse and which will be the shorter side. Read this over a couple of times till you realize that (x + 12)/2 is the shortest side.
[(x + 12) / 2]^2 + x^2 = (x + 12)^2 subtract [(x + 12)/2]^2 from both sides.
x^2 = (x +12)^2 - [ (x +12)/2]^2
x^2 = (x + 12)^2 [ 1 - (1/2)^2] You were given this as a question in school? It seems awfully hard.
x^2 = (x + 12)^2 [3/4]
4x^2 = 3*(x^2 + 24x + 144)
4x^2 = 3x^2 + 72x + 432
x^2 - 72x - 432 = 0 This is a quadratic, do you know what they are?
The solution to this comes to x = 77.56
I don't think I made a mistake, but it is sure possible.Check the numbers and my method.