Answer:
The system has two solution
Step-by-step explanation:
we have
----> equation A
----> equation B
Solve the system of equations by graphing
Remember that
The solution of the system of equations is the intersection point both graphs
There are two point of intersection between the two graphs
see the attached figure
therefore
The system has two solution
Answer:
A. 35 ft.
B. 35 ft
Step-by-step explanation:
Please see attached photo for diagram.
A. Determination of the diagonal using pythagorean theorem.
A square has all sides equal. Thus, the diagonal of the square can be obtained as follow:
Ist leg (L₁) = 25 ft
2nd leg (L₂) = 25 ft
Diagonal (d) =?
d² = L₁² + L₂²
d² = 25² + 25²
d² = 625 + 625
d² = 1250
Take the square root of both side
d = √1250
d = 35 ft
B. Determination of the diagonal using trigonometry.
Since all the sides in a square are equal, the angle between each leg will be 90°. Thus, the diagonal will bisect the angle between the two leg equally i.e
Angle between Diagonal and each leg = 90/2 = 45°
Finally, we shall determine the length of the diagonal. This can be obtained as follow:
Angle θ = 45°
Opposite = 25 ft
Hypothenus = d
Sine θ = Opposite / Hypothenus
Sine 45 = 25 / d
0.7071 = 25 / d
Cross multiply
0.7071 × d = 25
Divide both side by 0.7071
d = 25 / 0.7071
d = 35 ft
To find the x intercepts, we need to put the standard form equation into factored form.
Which two numbers multiply to -8 and add to -2?
So the factored form is
That means the x intercepts are at
So now we have the x intercepts.
To find the vertex, we need to convert the standard form equation into vertex form.
The formula of vertex form is
Since the a value in the standard form equation is 1, the a value in vertex form is also one.
The h value can be found using the formula
Which comes out to or 1.
To find the k value, we can just plug in what we got for h back into the equation.
So the vertex is .
This also means the axis of symmetry is
Finally, to find the y intercept, we plug in 0 for x and solve.
So the y intercept is .
Answer:
Hola
Step-by-step explanation:
Well if this is based off the first thing I answered, then 1. C
as I told you before, every time the x axis values go up one, the y values go up by x2 (aka times 2). Therefore it’s C.
2. It is linear because the unit change (amount it goes up aka slope) is the same since it’s alway x2. Hence the line on a graph would look linear
