Answer:
3
Step-by-step explanation:
Answer:
log₃(243) = x
Step-by-step explanation:
3^x = 243
Rule: a^x = b -> logₐ(b) = x
log₃(243) = x
Answers:
1) 6
2) 5
3) 8
4)5ab^5
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
Answer:
The standard form of the equation is -3x + y = -19
Step-by-step explanation:
To find the standard form, we first need to note that the slope will be 3 since parallel lines have the same slope. Then we can use point-slope form and manipulate into standard form.
y - y1 = m(x - x1)
y - 5 = 3(x - 8)
y - 5 = 3x - 24
-3x + y - 5 = -24
-3x + y = -19