Step b is wrong. The slope is the change in y over the change in x.
Step b should be (18- 8)/( 10-6)
= 10/4
= 5/2
Answer:
in triangle MNO
relationship between perpendicular and hypotenuse is given by sin angle
sin64°=p/h=70/x
x=70/sin64°=77.88foot
length of MN to the nearest tenth of a foot.
=78ft
Answer:
5unit
Step-by-step explanation: since area of rectangle = length*width
Here length is (x+2) and width is(2x+3)
(x+2)(2x+3)=91
On further solving
2x^2+75x-85=0
2x^2-10x+17x-85=0
2x(x-5)+17(x-5)=0
(2x+17)(x-5)=0
x=5unit
Answer:
y = 15/4x - 11/4
Step-by-step explanation:
A(−3,−2), B(−2,2), C(2,−2)
The orthocenter is the meet of the altitudes. We see AC is parallel to the x axis so the perpendicular
is the altitude through B.
Between A and B we have slope (2 - -2)/(-2 - -3) = 4 so perpendicular slope -1/4 through C(2,-2):

For the y coordinate of the orthocenter we substitute in x=-2.


So the orthocenter is (x,y)=(-2,-1)
Answer: (-2,-1)