78 = 2 x 3 x 13
1 x 78
2 x 39 = 78
3 x 26=78
6 x 13 = 78
larger number is 13
Answer:
y = -5x + 6
Step-by-step explanation:
General equation of a line : y = mx + c......where c is intercept
To find m pick any two points..
(-2, 16) and (-1, 11)
Using (y - y¹) / (x - x¹)
(11 - 16) / (-1 - [-2]) = -5 / 1
= -5
To find c sub with any point for (x, y) and m
using (2, -4)
y = mx + c
-4 = -5(2) + c
-4 = -10 + c
6 = c
Input the values of m and c in the general equation without x and y
; y = -5x + 6
14/8 = 1.75
The scale factor is 1.75 because 8* 1.75 = 14
Answer:
Compare x^2 +y^2-8x-6y=75 with the general circle equation x^2+y^2 -2ax-2by+c=0
-2a =-8 And -2b=-6
a=4 b=3
c=-75
To find the radius use the equation
r^2=a^2+b^2-c
r^2=4^2+ 3^2-(-75)
r^2=25+75=100
r=10(radius is always positive)
Hence the center is (4,3) and radius 10
Step-by-step explanation:
Answer:
P=1
Step-by-step explanation:
P(even or less than 6) = P(even)+P(less than 6) -P(even ∩ less than 6)
P(even)=3/6 (numbers 2,4, and 6)
P(less than 6) =5/6 (numbers 1,2,3,4, and 5)
P(even ∩ less than 6)=2/6 (numbers 2 and 4)
(3/6)+(5/6) -(2/6) = (3+5-2)/6 = 6/6=1
