Step-by-step explanation:
or, 6m=5/13
or, m=5/13 ×6m
m=30/13
1. -3x and -6x
2. 21 and -13
3. 21 and -13
4. -10b and 6b, 15 and -5
5. -20 and 30, 4c and -2c
Answer:
5091 Km/hr and 505 km/hr
Step-by-step explanation:
Speed = Distance / Time
Let the speed of first automobile be 'x' and that of the second be 'y'
Since speed of one is 10 times greater than the other. therefore;
⇒ x = 10 y
also let time for faster automobile be 'T' and time for slower auto mobile be 't'
Since first arrive one hour earlier than second, therefore;
⇒ t = T + 1
⇒ For first automobile;
; substituting for 'x' and 'T'. Therefore;
⇒ 
⇒ For Second automobile;
⇒ 
⇒ 
⇒ 5600 +
= 560
⇒ 5600 - 560 = - 
⇒ t = 1.11 hr
also ; T = 1.11 - 1 = 0.11 hr
Speed of 1st auto = 560/0.11 = 5091 km /hr
Speed of 2nd auto = 560/1.11 = 505 km/hr
Axis of symmetry: x=1
Vertex: (1, -24)
Explanation:
6x²-12x-25=-7
6x²-12x-18=0
a=6, b=-12, c=-18
Formula of axis of symmetry: x=-b/2a
x=-b/2a
x= -(-12)/2(6)
x= 12/12
x= 1
Vertex: (1,?)
Sub x= 1 into the equation,
6(1)² - 12(1) - 18 = y
6 - 12 - 18 = y
y = -24