Solution set is: (
)
Option B is correct
Step-by-step explanation:
We need to find the solution to system of equations
Let:
Putting value of y from eq(2) into eq(1)
So, value of x=7
Putting value of x into equation 1 to find the value of y:
So, value of y = 
Solution set is: ()
Option B is correct
Keywords: System of equations
Learn more about system of equations at:
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Answer:
The length of the chord is 16 cm
Step-by-step explanation:
Mathematically, a line from the center of the circle to a chord divides the chord into 2 equal portions
From the first part of the question, we can get the radius of the circle
The radius form the hypotenuse, the two-portions of the chord (12/2 = 6 cm) and the distance from the center to the chord forms the other side of the triangle
Thus, by Pythagoras’ theorem; the square of the hypotenuse equals the sum of the squares of the two other sides
Thus,
r^2 = 8^2 + 6^2
r^2= 64 + 36
r^2 = 100
r = 10 cm
Now, we want to get a chord length which is 6 cm away from the circle center
let the half-portion that forms the right triangle be c
Using Pythagoras’ theorem;
10^2 = 6^2 + c^2
c^2 = 100-36
c^2 = 64
c = 8
The full
length of the chord is 2 * 8 = 16 cm
A. -3 < x < 1
b. x < = 4 or x > = 6
Answer:
B, and i don't for the second one
Step-by-step explanation:
First, distribute the negative sign and get -y + 7 = 14
then subtract 7 from both sides and get -y = 7
Divide both sides by -1 and get y = -7
Hope this helps :)
