3k=7Q+6p
Solve for P which means we have to make 'p' alone

Answer:
Step-by-step explanation:
A perfect square trinomial is written as
, where
first term
= square of first term of binomial
second term=
=twice the product of both terms of binomial.
and third term 'c'=square of last term of binomial
Thus to create a perfect square trinomial put 'a' and 'c' a square number
Let a=4 and c=9
The required trinomial will be

![=(2x)^2+2(2x)(3)+3^2\\=(2x+3)^2.......\text{[using pattern}(a+b)^2=a^2+2ab+b^2]\\=(2x+3)(2x+3)](https://tex.z-dn.net/?f=%3D%282x%29%5E2%2B2%282x%29%283%29%2B3%5E2%5C%5C%3D%282x%2B3%29%5E2.......%5Ctext%7B%5Busing%20pattern%7D%28a%2Bb%29%5E2%3Da%5E2%2B2ab%2Bb%5E2%5D%5C%5C%3D%282x%2B3%29%282x%2B3%29)
There are two ways for finding p, here is one way:
1/2 = 4p
Multiply both sides by 2:
1 = 8p
Divide both sides by 8:
0.125 = p
Answer:
p = 0.125
Hope it helped :)
Answer:
The length of side b is 179 ft
Step-by-step explanation:
Given triangle ABC in which
∠A = 33°, ∠B = 63°, c=200
we have to find the length of b
In ΔABC, by angle sum property of triangle
∠A+∠B+∠C=180°
33°+63°+∠C=180°
∠C=180°-33°-63°=84°
By sine law,




The length of side b is 179 ft
Option C is correct.
Answer:
D
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
here (h, k) = (- 6, - 8), thus
(x + 6)² + (y + 8)² = r²
The radius is the distance from the centre to a point on the circle
Calculate r using the distance formula
r = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = (- 6, - 8) and (x₂, y₂ ) = (0, 0)
r =
=
=
= 10
Hence
(x + 6)² + (y + 8)² = 100 → D