Answer:
Expression: Y = -10/3 X
Y = 10/3
Step-by-step explanation:
If Y varies directly as X, then;
Y∝X
Y = kX
k is the constant of variation
If Y = 10 and X = -3
10 = -3k
k = -10/3
Substitute k = -10/3 into the expression Y = kX
Y = -10/3 X
This gives the required expression
To get the value of Y when X = -1
Recall that Y = kX
Y = -10/3 (-1)
Y = 10/3
Hence the value of Y is 10/3
Answer: 16
Step-by-step explanation:
multiplying by negative exponents can be a little tricky. So (1/4x)^-2 becomes 16/x^2 = __/x^2 so the missing number is 16
Answer:
24sqrt(2)x
Step-by-step explanation:
Step-by-step explanation:
The value of b will be 43° as it is vertically opposite angle.. !!
let the greatest number be a and remainder be x. And let the whole number result of the division be b, c and d. So we have
ab + x = 2447............(1)
ac + x = 3118...............(2)
ad + x = 6168.............(3)
Subtracting (2) - (1) gives:-
ac - ab = 671
a(c - b) =671
Now 671 = 61 * 11 so 61 could be the value of a
Checking:- 2447 / 61 = 40 remainder 7 , 3118 / 61 = 51 remainder 7
and 6168 / 61 = 101 remainder 7
Answer 61