Answer:
Applying the theorem of intersected chords inside a circle:
AR x RB = DR x RC
=> RB = DR x RC/AR = 3 x 5/2 = 7.5
=> Option B is correct
Hope this helps!
:)
Answer:
1255 that is it so bye bye
Answer:
6 years
Step-by-step explanation:
So each person's age can be represented as a linear equation, since each year our age increases by 1. It can be represented in the slope-intercept form: y=mx+b. The slope in this case is going to be 1, since the time is going to be years, and each year everyone's age goes up by 1 (of course if you're still alive...) and y-intercept in this case represents their current age.
So the father can be represented as: y=x+38
The sons can be represented as: y = x+13 and y=x+5
The daughter can be represented as: y=x+8
So adding up all his children you get:
(x+13)+(x+5)+(x+8)
This gives you the equation:
3x+26
Now set this equal to the father's age to solve for x (in this context it's years)
3x+26=x+38
Subtract from both sides
2x+26=38
Subtract 26 from both sides
2x=12
Divide both sides by 2
x=6
So in 6 years the father will be the same age as his children put together
Answer: c) -4
Step-by-step explanation:
Get the variables on one side of 3x+y=-2x+8 and the constants on another side:
3x+y=-2x+8
(3x+y)+2x=(-2x+8)+2x
5x+y=8
Now, multiply 5x+y=8 by -2:
-2(5x+y=8)
-10x-2y=-16
Add this equation to -3x+2y=-10:
(-10x-2y=-16)+(-3x+2y=-10)
-13x=-26
x=2
Plug x=2 into -3x+2y=-10:
-3(2)+2y=-10
-6+2y=-10
2y=-4
y=-2
Therefore, (2, -2) is the solution to the system of equations, so xy=(2)(-2)=-4
