For lines to be perpendicular their slopes must be negative reciprocals of one another, mathematically:
m1*m2=-1
So we first need to find the slope of the reference line.
m=(y2-y1)/(x2-x1)=(7-2)/(-1--5)=5/4
So the perpendicular line will have a slope of:
5m/4=-1
m=-4/5
So our perpendicular line so far is:
y=-4x/5+b, now we can use point (3,-1) to solve for the y-intercept, "b"
-1=-4(3)/5+b
-1=-12/5+b
-5/5+12/5=b
7/5=b
So the line is:
y=-4x/5+7/5 or more neatly
y=(-4x+7)/5
y=-0.8x+1.4
Answer:
QR = 12 (cm), RP = 10 (cm)
Step-by-step explanation:
Corresponding sides of the triangles:
XY : PQ, YZ : QR, ZX : RP.
For similar triangles ratios of corresponding sides are the same
XY : PQ = 4 : 8 = 1 : 2
YZ : QR = 1 : 2
ZX : RP = 1 : 2
YZ : QR = 1 : 2
6 : QR = 1 :2, QR = 12 (cm)
ZX : RP = 1 : 2
5 : RP = 1 : 2, RP = 10 (cm)
Answer:
Cos 74°= Sin 16°
Sin 20°= Cos 70°
Sin A°=Cos (90°- A°)
Step-by-step explanation:
This is because the three pairs are complementary i.e they add up to 90° and in trigonometric ratios, complementary ratios are equal.
B bc the coefficient is greater than 1. if, for example it was 0.5 it would be a
