Answer:
Option(1)
Step-by-step explanation:
By applying secant rule in the given right triangle,
secθ =
From the picture attached,
Opposite side of angle θ = 5 units
By applying Pythagoras theorem,
(Hypotenuse)² = (leg 1)² + (leg 2)²
= (10)² + 5²
= 125
Hypotenuse = √125
= 5√5
Now substitute these values in the expression of secθ,
secθ =
secθ = √5
Option (1) is the correct option.
Given :
Now, Substituing the value of y in equation (ii) :
Now, substituting the value of x in equation (i) :
Answer:
There are two pairs of solutions: (2,7) and (-1,4)
Step-by-step explanation:
We will use substitution.
y = x^2 + 3
y = x +5
Since the second equation is equal to y, replace y in the first equation with the second equation.
y = x^2 + 3
x + 5 = x^2 + 3
Rearrange so that one side is equal to 0.
5 - 3 = x^2 - x
2 = x^2 - x
0 = x^2 - x - 2
You may use quadratic formula or any form of factoring to find the zeros (x values that make the equation equal to 0).
a = 1, b = -1, c = -2
Zeros = and
Zeros = 2 and -1
Now that you have your x values, plug them into the equations to find their corresponding y values.
y = x^2 + 3
y = (2)^2 + 3
y = 7
Pair #1: (2,7)
y = x^2 + 3
y = (-1)^2 + 3
y = 4
Pair #2: (-1,4)
Therefore, there are two pairs of solutions: (2,7) and (-1,4).