ANSWER
The solution to the system is
EXPLANATION
The system of equations are:
and
We put equation (2) in to equation (1) to get,
We expand the parenthesis to obtain,
We group like terms to obtain,
This implies that,
We divide through by 5 to get
We substitute the value of y in to equation (1) to get,
This implies that
We divide both side by 3 to get,
Discriminant = b² - 4ac
Discriminant = (6)² - 4(3)(-2)
Discriminant = 36 - (-24)
Discriminant = 36 + 24
Discriminant = 60
Answer:
<em>D. v equals the square root of quantity z times the sum of w plus z end quantity</em>
Step-by-step explanation:
We will use pythagoras theorem to solve this question. According to ΔABD, side AB is the hypotenuse of the triangle while AD and BD are the opposite and adjacent sides.
From ΔABD, v² = z² + y² ... 1
Also from ΔABC, side AC is the hypotenuse, AB and BC are the opposite and the adjacent side. Since AC = w+z, AB = v and AC = x, then;
AC² = AB²+BC²
(w+z)² = v²+x²
v² = (w+z)² - x² ... 2
Also, from ΔBCD, x² = y²+w²... 3
Substituting equation 3 into 2 will give;
v² = (w+z)² - x²
v² = (w+z)² - (y²+w²) ... 4
Equating 1 and 4
z²+y² = (w+z)² - (y²+w²)
z²+y² =w²+z²+2wz - (y²+w²)
z²+y² =w²+z²+2wz - y² - w²
z²+y² = z²+2wz - y²
2y² = 2wz
y² = wz ... 5
From equation 1; v² = z² + y²
substituting eqn 5 into 1;
v² = z²+wz
v = √z(w+z)
Hence the correct expression of v in words is 'v equals the square root of quantity z times the sum of w plus z end quantity'
Answer:
22y ft
Step-by-step explanation:
Just got a lucky guess on my quiz. Hope this helps:)