Answer:
(-1,-1) and (4.1).
1+1
slope of the line: m= ------- = 2/5
4+1
the slope of the perpendicular line: -5/2 and point (-1,3)
(y-3) = -5/2(x+1)
Z score = (x -mean) / standard deviation.
For this problem X = 50 cm.
Z-score = (50 - 49.2) / 1.8
Z score = 0.8 / 1.8
Z score = 0.44
Look up 0.44 on a z-score table.
0.44 = 0.6700
0.67 x 100 = 67% will be 50 cm or longer.
Answer:
The standard parabola
y² = -18 x +27
Length of Latus rectum = 4 a = 18
Step-by-step explanation:
<u><em>Explanation:-</em></u>
Given focus : (-3 ,0) ,directrix : x=6
Let P(x₁ , y₁) be the point on parabola
PM perpendicular to the the directrix L
SP² = PM²
(x₁ +3)²+(y₁-0)² =
x₁²+6 x₁ +9 + y₁² = x₁²-12 x₁ +36
y₁² = -18 x₁ +36 -9
y₁² = -18 x₁ +27
The standard parabola
y² = -18 x +27
Length of Latus rectum = 4 a = 4 (18/4) = 18
Answer:
196
Step-by-step explanation:
Surface are of 2 rectangles = 2(2*4) = 16
surface are of the base rectangle = 4*3 = 12
Area of tow triangles =2( * 2* 2)= 4
total = 16+12+4
= 196