Answer:
(i) The length of AC is 32 units, (ii) The length of BC is 51 units.
Step-by-step explanation:
(i) Let suppose that AB and BC are collinear to each other, that is, that both segments are contained in the same line. Algebraically, it can be translated into this identity:
If we know that 
and 
, then:
The length of AC is 32 units.
(ii) Let suppose that AB and AC are collinear to each other, that is, that both segments are contained in the same line. Algebraically, it can be translated into this identity:
If we know that 
and 
, then:
The length of BC is 51 units.
Answer:
The unique solution to the system is (x,y){(-9,-3)}
Step-by-step explanation:
x - y = -6 equation 1
5x + 6y = -63 equation 2
We will find the value of x from equation 1.
x= y-6
Now put the value of x in equation 2.
5(y-6)+6y = -63
5y-30+6y = -63
Combine the like terms:
5y+6y= -63+30
11y = -33
Divide both sides by 11.
11y/11 = -33/11
y = -3
Now put the value y = -3 in x=y-6
x = y-6
x= -3-6
x= -9
Therefore The unique solution to the system is (x,y){(-9,-3)} ....
Answer:
The correct option is C: I = 10⁸I₀.
Step-by-step explanation:
The function of the Richter scale is:
Since the magnitude of the earthquake is 8.0, the relation between the intensity, I, with the intensity of the threshold quake, Io, is:
Therefore, the correct option is C: I = 10⁸I₀.
I hope it helps you!
Answer:
1. 7.1 cm
2. 10.9 cm
Step-by-step explanation:
1. You know the legs of a right triangle must be shorter than the hypotenuse. The only answer choice shorter than 8 cm is 7.1 cm.
__
2. By the Law of Sines, ...
AB/AC = sin(ACB)/sin(B)
AB = AC·sin(72°)/sin(38°) = 1.545·AC
The approximate value of AC from problem 1 is sufficient to get you close to the answer.
AB ≈ 7.1×1.545 ≈ 10.9 . . . cm
Answer:
(1,-4)
Step-by-step explanation:
