Answer:
15.5
Step-by-step explanation:
So the formula here is the square of the tangent length is equal to the product of the exterior part of the secant line and total length of the secant.
So that means we have x^2=10(14+10).
After simplifying the right hand side we have the equation is x^2=10(24) or x^2=240.
To get rid of the square on the x, we square root both sides.
x=sqrt(240)
x=15.49193338
To the nearest tenths, the answer is x=15.5
So 15.5 inches is the length of x.
Answer:
(-2,3)
Step-by-step explanation:
Step 1. Isolate x for 3x + 5y = 9
3x + 5y - 5y = 9 - 5y
3x = 9 - 5y
3x/3 = 9/3 - 5y/3
x= (9-5y)/3
Step 2. Simplify
-3*((9-5y)/3) + 3y = 15
-3*((9-5y)/3) = 9 - 5y = -(-5 + 9) + 3y
-9+5y+3y
-9+8y = 15
Step 3 Isolate y for -9+8y=15
-9+8y+9=15+9
8y=24
8y/8 = 24/8
y=3
Step 4 Substitute y = 3
x = (9-5*3)/3
-(6/3) = (-2)
x = -2
You can "add" like you say or you could just call it subtracting. If you subtract 5 from 5 you still get zero. Then on the right side, you would do the same. You would subtract 5 from 12 getting x, which is 7.
If you added you would still get the same answers but it is easier to say just subtract. Anything you do to the left, do to the right.
Hope this helps :)
Answer:
16 or (4^2)
Step-by-step explanation:
4^3 * 4^-1
When multiplying exponents with the same bass, the exponents themselves can be added.
3 + -1 = 2
4^2 = 16
16 is your answer!
