Answer:
all radii of the same circle are congruent
tangents to a circle that intersect are congruent
side CO is congruent to side CO
SSS congruency theorem
Step-by-step explanation:
3m - 5p = 12
3m(-3m) -5p = (-3m)+ 12
-5p = -3m + 12
(-5)/-5p = (-5)/ (-3m + 12)
p = 3/5m + 12/-5
Answer:
the two numbers are 16 and -25
Step-by-step explanation:
Let the two numbers be x and y
x+y=-9
x-y=-41
By substitution
y=-9-x
x-(-9-x)=-41
x+9+x=-41
2x=-41-9
2x=-50
x=-25
y=-9-(-25)
y=16
Answer:
x³ - 3 x² - 13 x + 15 = 0
Step-by-step explanation:
Basically you can create three factors like this:
(x+3)(x-1)(x-5)=0
That will each represent one zero.
Work it out and you get x³ - 3 x² - 13 x + 15 = 0
We can find this using the formula: L= ∫√1+ (y')² dx
First we want to solve for y by taking the 1/2 power of both sides:
y=(4(x+1)³)^1/2
y=2(x+1)^3/2
Now, we can take the derivative using the chain rule:
y'=3(x+1)^1/2
We can then square this, so it can be plugged directly into the formula:
(y')²=(3√x+1)²
<span>(y')²=9(x+1)
</span>(y')²=9x+9
We can then plug this into the formula:
L= ∫√1+9x+9 dx *I can't type in the bounds directly on the integral, but the upper bound is 1 and the lower bound is 0
L= ∫(9x+10)^1/2 dx *use u-substitution to solve
L= ∫u^1/2 (du/9)
L= 1/9 ∫u^1/2 du
L= 1/9[(2/3)u^3/2]
L= 2/27 [(9x+10)^3/2] *upper bound is 1 and lower bound is 0
L= 2/27 [19^3/2-10^3/2]
L= 2/27 [√6859 - √1000]
L=3.792318765
The length of the curve is 2/27 [√6859 - √1000] or <span>3.792318765 </span>units.
