Hello,
I suppose equations are:
x+y=3 (1)
x+2y=9 (2)
(2)-(1)==>y=6
(1)==>x=3-6
x=-3, y=6
Sol={(-3,6)}
Slope = (5+7)/(1-4) = 12/-3 = -4
slope = -4
y = mx + b
-7 = -4(4) + b
-7 = -16 + b
b = 9
equation
y = -4x + 9
The value of a is 17 and the value of b is 6. The correct option is third option a = 17, b = 6
<h3>Calculating the length of the sides of a kite </h3>
From the question, we are to determine the values of a and b
From the given kite diagram, we can conclude that
/FG/ = /HG/
Thus,
30 = 2a - 4
∴ 2a - 4 = 30
2a = 30 + 4
2a = 34
a = 34 / 2
a = 17
Also,
/FJ/ = /HJ/
3b + 6 = 24
3b = 24 - 6
3b = 18
b = 18/3
b = 6
Hence, the value of a is 17 and the value of b is 6. The correct option is third option a = 17, b = 6
Learn more on Calculating the sides of a kite here: brainly.com/question/21133066
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Answer:
D
Step-by-step explanation:
Providing it is written as 1 * x / 5 - 2*y / 3 = 30, it can be solved this way.
x/5 - 2*15/3 = 30
x/5 - 10 = 30
x/5 = 30 + 10
x/5 = 40
(x/5)*5 = 40*5
x = 200
Answer D
Answer:
a. independent event P(AuB)=P(A)+P(B)
b. mutually exclusive event P(AuB) = P(A) + P(B) - P(AnB)
c. independent event P(A and B) = P(A).P(B)
d. complement P(A') = 1 - P(A)
Step-by-step explanation:
a. For two events A and B the union of the two sets is simply all the elements present in both set. This can be expressed as
P(AuB)=P(A)+P(B)
b. Two events are said to be mutually exclusive if they cannot occur at the same time. i.e no same element must be present in both events at a time. This can be expressed as
P(AuB) = P(A) + P(B) - P(AnB)
c. event A and event B are said to be independent if the incidence of event A does not affect the probability of the event B.
This can be expressed as
P(A and B) = P(A).P(B)
d. complement of an event are simply all the occurrence not in he set but in the universal set.
the complement of set A can be expressed as
P(A') = 1 - P(A)
