Answer:
m=243/4 when v=9.
Step-by-step explanation:
We know that when y varies directly with x², the formula of direct proportion is
where 'k' is the constant of variation.
so
As m varies directly with v², and m=3 when v=2
m=kv²
k=m/v²
= 3/(2)²
=3/4
Hence, k=3/4
so when v=9 then the expression becomes
m=kv²
substituting v=9 and k=3/4
m= 3/4(9)²
=3/4 × 81
=243/4
Therefore, m=243/4 when v=9.
AB = 9.
It is given that BC = 9 and AB = BC. Hence, AB = BC = 9.
Answer: C) 163
Step-by-Step Solution:
In the Right Triangle formed to the extreme right, lets mark the angles as
∠1, ∠2 and ∠3.
Therefore, from the Figure :-
∠1 = 73°
∠2 = 90°
By Angle Sum Property :-
∠3 = 180 - (73 + 90)
∠3 = 180 - 163
=> ∠3 = 17°
The Angle which forms a Linear Pair with ∠3 is the Corresponding Angle of ∠r, and Corresponding Angles are Equal.
Therefore,
=> 180 - ∠3
= 180 - 17
=> 163°
Therefore, the Angle that forms the Linear Pair with ∠3 is 163°
This Angle is Corresponding to ∠r and hence they are Equal ie. ∠r = 163°
Hence, ∠r = 163°
y = mx , where m is a slope,
m= rise/run
We have y = 15x, so m =15 and rise/run =15, then
rise = 15, run = 1
Answer:
x = 1
Step-by-step explanation:
- 2x^2 + 3 = 5
- 2x^2 = 5 - 3
- 2x^2 = 2
- x^2 = 2/2
- x = \| 1
- x = 1
