Answer:
6 units
Step-by-step explanation:
Given: Points H and F lie on circle with center C. EG = 12, EC = 9 and ∠GEC = 90°.
To find: Length of GH.
Sol: EC = CH = 9 (Radius of the same circle are equal)
Now, GC = GH + CH
GC = GH + 9
Now In ΔEGC, using pythagoras theorem,
......(ΔEGC is a right triangle)
Now, Let GH = <em>x</em>
On rearranging,
So x = 6 and x = - 24
∵ x cannot be - 24 as it will not satisfy the property of right triangle.
Therefore, the length of line segment GH = 6 units. so, Option (D) is the correct answer.
Answer:
Step-by-step explanation:
Answer: pr (blue) = 1/3 or 0.33
Pr(green without replacement) = 1/2 = 0.5
Step-by-step explanation:
Probability = number of possible outcomes/ number of total outcomes
Total number of outcomes is the sum of all the marbles, given as 9
Pr ( first marble blue) = no of blue marbles/ total number of marbles
= 3/9 = 1/3 or 0.333
Second marble is chosen without replacement- this means that the total outcome has reduced by 1, total number of marbles has reduced to 8 because there was no replacement.
Pr (second marble is green) = number of green marble/ total number of marbles without replacing the first marble
= 4/8 = 1/2 = 0.5
I hope this helps.
Answer:
-4u+2v = <-6, 34>
Step-by-step explanation:
u = <4, -7) → -4u = <-16, 28>
v = <5, 3> → 2v = <10, 6>
-4u+2v = <-16, 28> + <10, 6> = <-6, 34>
Answer:
f(x)= 6x+9....
Step-by-step explanation:
The given equation is:
y-6x-9=0
Add 6x+9 at both sides:
y-6x-9+6x+9=0+6x+9
Solve the like terms:
on the L.H.S -6x will be cancelled out by +6x and -9 will be cancelled out by +9
y=6x+9
Now convert it in function notation:
f(x)=y
f(x)= 6x+9....
