<u>Given </u><u>:</u><u>-</u><u> </u>
<u>To </u><u>prove</u><u> </u><u>:</u><u>-</u><u> </u>
- Sum of interior angles of a ∆ is 180° .
<u>Construction</u><u> </u><u>:</u><u>-</u>
- Draw a line MCN parallel to AB .
- Extend line AB to K .
<u>P</u><u>roof </u><u>:</u><u>-</u><u> </u>
In ∆ ABC , we have ,
As sum of two interior angles of a triangle is equal to the opposite exterior angle .
Also ,
ABC + CBK = 180°
( linear pair )
Hence from above two ,
<u>Hence </u><u>Proved</u><u> </u><u>!</u><u> </u>
Answer:
c
Step-by-step explanation:
Circumference entire circle woule be d·π, with diameter d=5m.
Now we only have half of that, and we must add the straight line that closes the figure.
perimeter = 5·π/2 + 5 ≈ 12.85
Answer:
1) x = 5√(1-sin^2t)
2) y = = -2+3t
Step-by-step explanation:
1)
Given rectangular equation:
x^2/25 + y^2 =1
Parametric equations y=-sint and x=?
Find parametric equation for x
Substituting value of y =-sint in given rectangular equation, we get
x^2/25 + (-sint )^2 =1
x^2/25 + sin^2t =1
x^2 + 25sin^2t = 25
x^2 =25 - 25sin^2t
taking square root on both sides
x= √(25 - 25sin^2t)
= √25(1-sin^2t)
= 5√(1-sin^2t)
2)
Given rectangular equation:
y=-3x+4
Parametric equations x=2-t and y=?
Find parametric equation for y
Substituting value of x=2-t in given rectangular equation, we get
y= -3(2-t) +4
= -6+3t+4
= -2+3t !
Answer:
-22
Step-by-step explanation:
The function y=400-22x is a linear equation in the form y=mx + b. Although they put "mx" after "b" so the equation doesn't start with a negative.
"m" is rate of change, or the slope if graphed.
The negative means "y" decreases as "x" increases. On a graph, it decreases left to right.
