If f(.3)=5 then f^-1(5)=?
1 answer:
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Answer:
x=-3,y=-2
Step-by-step explanation:
Given 2 expressions
S1:
S2:
Write one equation in terms of any variable (x or y)
Here I am writing S1 in terms of y
Substitute this value of y as the value of y in S2
⇒
Therefore
Substitute this value of x in any of the expressions S1 or S2
Here i am substituting in S2
⇒
Therefore x=-3 and y=-2
Refer to the diagram shown below.
Because ΔABC is isosceles and AB = AC, therefore
m∠C = m∠B = (3x + 5)°
The sum of angles in a triangle is 180°, therefore
2(3x + 5) + 2x - 20 = 180
6x + 10 + 2x - 20 = 180
8x - 10 = 180
8x = 190
x = 23.75°
Therefore
m∠C = 3x + 5 = 3(23.75) + 5 = 76.25°
Answer: 76.25°
Because ΔABC is isosceles and AB = AC, therefore
m∠C = m∠B = (3x + 5)°
The sum of angles in a triangle is 180°, therefore
2(3x + 5) + 2x - 20 = 180
6x + 10 + 2x - 20 = 180
8x - 10 = 180
8x = 190
x = 23.75°
Therefore
m∠C = 3x + 5 = 3(23.75) + 5 = 76.25°
Answer: 76.25°