GJ is a tangent
АG is a radius
A tangent line to a circle is perpendicular to the radius drawn to the tangent point ⇒ m∠АGJ = 90° ⇒ ΔАGJ is the right triangle.
<span>By the Pythagorean theorem:
</span>AJ² = АG² + GJ²
AJ² = 9² + 12² = 81 + 144 = 225
AJ = √225 = 15 units.
Answer:
(7v +3 ) ( v + 4 )
Step-by-step explanation:
7v^2+31v+12
(7v + ) ( v + )
12 = 1*12
2*6
3*4
7* 4 + 3 = 31
(7v +3 ) ( v + 4 )
Answer:
10=x
Step-by-step explanation:
Intersecting Chords Formula:(segment piece) x (segment piece) =
(segment piece) x (segment piece)
6*5 = 3*x
30 = 3x
Divide by 3
30/3 = 3x/3
10 =x
Try this solution:
1. if 1st number is 'x', the 2d number is 'y', then it is possible to make up the system of two equation according to the condition:

2. one number is 11, another number is 10.
Eight *(a number) plus 5*(another number) is -13.
translates to:
8(x) + 5(y) = -13
The sum of (the number) and (the other number) is 1.
translates to:
(x) + (y) = 1
We have a system of two equations involving two unknowns: x and y.

We can easily solve the system using Substitution or Elimination. Let's use Elimination this time.
We'll multiply the second equation by -8 so that the x's match up.

When we add the equations together, the x's will fall out of the equation, summing to zero. The 5y and -8y will sum to -3y and the right hand side will sum to -21.

Divide by -3,

Plug back into one of your original equations to find the value of x,

Subtract 7,