Answer:
52 ft
Step-by-step explanation:
For each chord, the product of segment lengths is a constant. We can find that constant as the product of the segment lengths of the bisected chord:
(24 ft)·(24 ft) = 576 ft^2
Then the missing segment length (DX) of the diameter chord is ...
DX·(36 ft) = 576 ft^2
DX = (576 ft^2)/(36 ft) = 16 ft
So, the total length of the diameter chord is ...
DX +XL = 16 ft + 36 ft
DL = 52 ft
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We know DL is a diameter because the perpendicular bisector of any chord intersects the center of the circle.
Answer:
52
Step-by-step explanation:
48+8/2
48+4
52
Answer:
Step-by-step explanation:
If you let b = x^2 the problem becomes a whole lot easier. Note that x = √b
x^2 + x - 12
Now factor this trinomial.
(x + 4)(x - 3)
Now put b back into the equation
(√b + 4)(√b - 3)
There are two ways to solve system of equations.
1) substitution method
2) elimination method
4x - y = -6
x - 2y = -5
For thus problem, i'll be using the substitute method.
So, using the equation x - 2y = -5:
Solve for "x" by adding 2y to both sides of the equation.
x = 2y - 5
Now we know what "x" is, we can substitute it in the other equation.
4x - y = -6
4(2y - 5) - y = -6
8y - 20 - y = -6
7y - 20 = -6
7y = 14
y = 2
We now know the numerical value of y. So, all we have to do is plug in y into either system of equation to solve for the numerical value of x.
4x - 2 = -6 x - 2y = -5
4x = -4 x - 2(2) = -5
x = -1 x - 4 = -5
x = -1
The solution is (-1, 2) where x equals -1 and y equals 2.
Answer:
-5(3x+4) = 25
-15x-20=25
-15x=25+20
-15x=45
>then divide both side by -15
Therefore: X=-3
4(x+2)-3(2x-4)=10
4x+8-6x+12=10
-2x+20=10
-2x=-10
> divide both sides by -2
Therefore: x= 5
