Answer:
X-axis is the black line that goes from right to left
Y-axis is the black line that goes from up to down
the origin is the (0,0)
(-5,7) is move 5 left from the Y axis, 7 up from the X axis.
Step-by-step explanation:
The properties that apply true are:
1–as it implies the Pythagorean theorem; a^2+b^2=c^2
3–as it implies the basic rules of visualized geometry.
4–as the greater side(hypotenuse) is opposite the right angle.
NOT 2, as the accrue angles ARE complimentary.
Answer:
y - 6 = (-1/2)(x - 4)
Step-by-step explanation:
As we go from (4, 6) to (6, 10), x (the run) increases by 2 and y (the rise) increases by 4. Thus, the slope of the line connecting these two points is m = rise / run = 4/2 = 2.
The slope of a line perpendicular to this one is the negative reciprocal of 2, which is -1/2.
Using the point-slope formula, we get the following equation for the perpendicular line:
y - 6 = (-1/2)(x - 4) ( obtained using the point (4, 6) )
First piece:
Nathan doesn´t use= 9.8 ft - 5.2 ft=4.6 ft
Second piece:
Nathan doesn´t use=7.5 ft-6.1 ft=1.4 ft
Third piece:
Nathan doesn´t use= 12 ft.
feet of wood don´t use=4.6 ft + 1.4 ft + 12 ft=18 ft.
Answer: Nathan doesn´t use 18 feet
F(x) = -x+3x
= 2x
= 2(-5)
= -10