Answer:
x=0.0278 or 1/36
Step-by-step explanation:
y=4
So,y=1/9x
4=1/9x
36x=1
x=1/36
x=0.0278
Answer:
The scale factor is 1.25 !
Step-by-step explanation:
Take the sides of one triangle and divide them by the sides of the other triangle.
45/36 = 1.25
30/24 = 1.25
35/28 = 1.25
Answer:
t = -1 or 5/2
Step-by-step explanation:
To find t; we equate H(t) = 0
-16t^2+24t+40.0= 0
dividing through by 8 we have ;
-16t^2 / 8+ 24t/8+40.0/8=0
-2t^2 + 3t + 5=0
-2t^2 + 5t -2t + 5=0
By factorisation;
t(-2t + 5) +1 (-2t + 5)=0
This means;
(t + 1)(-2t +5)= 0
t + 1 = 0 or -2t + 5 = 0;
t= -1 ; -2t = -5
2t = 5
t = 5/2;
Hence t = -1 or 5/2
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Step-by-step explanation:
Step one:
Given
The expression for Katya's distance away from home is given by the expression

y represents her total distance away from home
x= represent the time of travel in hours
Step two:
60 represents the rate at which the train is traveling in km per hour
20 represents the initial distance from home
we predict her distance away at a given time
say 4 hours, that is x=4hours
substituting in the expression
y=60x+20
y=60(4)+20
y=240+20
y=260km