Essentially when people ask you find the solution to system of equation, there asking at what x value do these to graphs intersect. The easiest way to do this is to get a graphing calculator, or desmos and type in the equation and find where they intersect. Heck, even the question says to solve it with a graph, but I'll demonstrate it algebraically.
One way you can do this is set the equation equal to each other. This is because you want to know at what x-value has the same y-value. So we get:
x^2 + 6x + 8 = x + 4
We can then combine like terms, or move everything to one side. So we get:
x^2 + 5x + 4 = 0.
Then we can use the quadratic formula to solve for x.
x=(-5 +/- sqrt(5^2 - 4(1)(4)))/(2(1)
This simplifies into:
(-5 +/- 3)/2
Finally we add and subtract:
(-5 + 3)/2 = x = -1
(-5 - 3)/2 = x = -4
And our solution is x = -1, x = -4
Answer:
D. x = 5.4, y = 6.67
Step-by-step explanation:
The triangles are similar as per problem description, so the ratios match:
y/5 = 4/3
x/3 = 9/5
let's solve:
y/5 = 4/3
3y/5 = 4
3y = 20
y = 6.(6)
x/3 = 9/5
5x/3 = 9
5x = 27
x = 5.4
The electric currents and magnetic materials have an
effect called magnetic field. This magnetic field is specified with its
direction and magnitude. The magnitude is the strength of the field.
the magnetic field at a distance r from a
long straight wire carrying current I can be calculated with the
equation:
B = μ I / 2 pi R
where <span>μ is a constant, I is the current and R is the radius. </span>
Answer:
a = 1, b = 2, c = 3
Step-by-step explanation:
x² - 14x + 46 = 0
subtract 46 from both-side
x² - 14x = -46
Add the square of the half of the co-efficient of x
x² - 14x + (-7)² = -46 + 7²
(x-7)² = -46 + 49
(x-7)² =3
Take the square root of both-side
x-7 = ±√3
x-7= ±1.732
Add 7 to both-side of the equation.
x= 7 ± 1.732
Eithe x= 7 + 1.732 or x= 7 - 1.732
x=8.732 or x=5.268
Therefore x = 8.732 , 5.268
