Answer:
a = 3
Step-by-step explanation:
Calculate the distance d using the distance formula and equate to 4
d = 
with (x₁, y₁ ) = (2, - 1) and (x₂, y₂ ) = (2, a)
d =
=
=
= a + 1 then
a + 1 = 4 ( subtract 1 from both sides )
a = 3
Answer:
∠RPQ = 27
Step-by-step explanation:
In ΔSRQ,
∠R = 90
∠SQR = 36°
∠R + ∠SQR + ∠RSQ = 180 {Angle sum property of triangle}
90 + 36 + ∠RSQ = 180
126 + ∠RSQ = 180
∠RSQ = 180 - 126
∠RSQ = 54°
∠PSQ +∠RSQ = 180 {Linear pair}
∠PSQ + 54 = 180
∠PSQ = 180 - 54
∠PSQ = 126
In ΔPSQ,
SQ = PS ,
So, ∠SQP = ∠SPQ {Angles opposite to equal sides are equal}
∠SQP = ∠SPQ =x
∠PSQ + x +x = 180 {Angle sum property of triangle}
126 + 2x = 180
2x = 180 - 126
2x = 54
x = 54/2
x = 27
∠RPQ = 27°
Answer:
5x - 6y +36 =0 is the required equation.
Step-by-step explanation:
(x1, y1) =(-8, - 1)
Slope (m) =5/6
The equation is:
(y - y1) =m(x-x1)
y +1=5/6(x +8)
6y +6 =5x +40
5x - 6y +36 =0 is the required equation.
Hope this helps!!!!
Answer:
46
Step-by-step explanation:
89