Answer:
9.5
Step-by-step explanation:
Answer:
Option (4) is correct about BQ
Step-by-step explanation:
Given : From the figure : ∠BQA = 54° and ∠BAQ = 36°
Now, Since ∠BAQ = 36° > 30°
So, ∠BAQ is not acute.
⇒ (1) is rejected.
Also, ∠BQA = 54° > 30°
So, ∠BQA is not acute.
⇒ (2) is rejected.
Now, in ΔABQ, By using angle sum property of a triangle
∠BAQ + ∠BQA + ∠ABQ = 180°
⇒ 36° + 54° + ∠ABQ = 180°
⇒ ∠ABQ = 90°
Since, ∠ABQ is right angle so, (3) is rejected.
Now, ∠ABQ = 90° and the line which is exterior to the circle and makes right angle with the radius of the circle is always tangent to the circle.
Hence, Option (4) is correct about BQ.
Therefore, BQ is a tangent line because m∠ABQ = 90°
Answer:
(3,-9)
Step-by-step explanation:
The given equations are :
−5x−3y=12 (1)
y=x−12 ....(2)
Put the value of y from equation (2) in equation (1)
−5x−3(x-12)=12
-5x-3x+36 = 12
Taking like terms together
-5x-3x = 12-36
-8x = -24
x = 3
Put the value of x in equation (2)
y=3−12
y = -9
Hence, the solution of the above equations is x = 3 and y = -9 or (3,-9).
We can do this two ways: polynomial division or synthetic division.
Polynomial division involves factoring the equations first. Synthetic division is basically long division.
I'm opting for polynomial division cause it's shorter.
First, we factor ((x^4)-(x^3)-(7x^2)+4x-3).
((x^4)-(x^3)-(7x^2)+4x-3)=(x-3)((x^3)+(2x^2)-x+1)
Then divide:
((x-3)((x^3)+(2x^2)-x+1)) ÷ (x-3) = (x^3)+(2x^2)-x+1
So your answer is B
Answer:
Detailed explanation of the answer is given in the attached files. Please have a look.
Step-by-step explanation:
