Answer:
Solution of the given equations is (-5,2)
Step-by-step explanation:
We have been given the following system of equations:
y = (2/5)x + 4
y = 2x + 12
The solution of the system of equation can be found by finding the point of intersection of both lines on the graph. The graph of both equations is attached below.
As we can see that both the lines intersect each other at one point, and that point is (-5,2). So the solution of the given equations is (-5,2)
This is the answer if your question
Theorem: If two chords intersect within a circle, then the product of the lengths of the segments (parts) of one chord is equal to the product of the lengths of the segments of the other chord.
In oyur case,

Solve this equation to find x:

Answer: 6, choice B.
Answer:
attached below
Step-by-step explanation:
Attached below are the Venn diagrams
A : 48 < X < 52 cm
B : 9 < Y < 11 cm
a) A
b) A ∩ B
c) A' ∪ B
d) A ∪ B
e) for events to be mutually exclusive it means that both events can not occur simultaneously i.e. A ∩ B = 0
the process would not be successful hence the process would not produce parts with X = 50 cm and Y = 10 cm
Answer:
2108
Step-by-step explanation:
Divide 67,456 by 32, using long division.
1) How many times 32 go into 67? (2 times, with a remainder of 3)
2) Bring down the 4.
3) How many times does 32 go into 34? (1 time, with a remainder of 2)
4) Bring down the 5
5) How many times does 32 go into 25? (0 times, so write 0)
6) Bring down the 6.
7) How many times does 32 go into 256? ( 8 times, no remainder)
8) Your answer is 2108