Answer:

Step-by-step explanation:
The given function is
Let

Interchange x and y.

Solve for y,

Divide both sides by 2

Therefore;

36(3.14) = 4/3 x 3.14 x r^3
113.04 = 4.187(r^3)
113.04/4.187 = r^3
26.997 = r^3
3√26.997 = r
r = ~3
Check: 3^3(

)(4/3) = 27(3.14)(4/3) = 113.04
Answer:
-m^2 |n|^3 sqrt(n)
Step-by-step explanation:
-sqrt( m^4n^7)
We know that sqrt(ab) = sqrt(a) sqrt(b)
-sqrt(m^4) sqrt(n^7)
The sqrt(m^4) = m^2
The sqrt(n^7) = sqrt(n^6) sqrt(n) = |n|^3 sqrt(n) We take the absolute value because if n is negative, n^6 is postive, but n^3 is negative
-sqrt(m^4) sqrt(n^7)
-m^2 |n|^3 sqrt(n)
Answer:
(4, 13/5)
Step-by-step explanation:
Aquí, estamos encontrando el punto que divide el segmento en 1/4
supongamos que tenemos la proporción 1: 4 como a: b
Matemáticamente, el punto que divide el segmento será;
Coordenada x = (bx1 + ax2) / (a + b)
donde (x1, x2) = (3,8)
Al conectar estos valores, tenemos; (4 (3) + 1 (8) / (1+ 4) = (12 + 8) / 5 = 20/5 = 4
Coordenada y = (by1 + ay2) / (a + b) donde (y1, y2) = (1,9)
Conectando estos valores que tenemos; (4 (1) + 1 (9)) / (1 + 4) = (4 + 9) / 5 = 13/5
Por lo tanto, las coordenadas del punto es (4,13 / 5)
The answer is down the page under ANSWER. here is a quick explanation first.
okay, i assume your equation is actually like this:
minus x squared plus 4 x minus
note: the proper way to type this electronically is: -x^2 + 4x - 2.
The equation you gave is known as a quadratic equation.
if you think about it, the generic (general) way of writing this quadratic equation is:
ax^2 + bx + c
a, b and c are just numbers
eg.
2x^2 + 7x + 4
looking at the general equation above
a is 2
b is 7
c is 4
you can put negatives in as well, to find out a, b and c
eg
-2x^2 - 6x - 12
so, what is a b and c?
a is -2 (must say its negative)
b is - 6 (must say negative)
c is - 12 ( again, remember its a negative number)
ANSWER
IF YOU JUST WANT THE ANSWER.
THE DISCRIMINANT IS:
4 squared minus (4 times -1 times -2)
this is 16 - 8
solution of discriminant is 8
explanation:
so, now we cleared that up.
in any quadratic equation ( like the equation you gave), the discriminant is (in general)
b2 - 4ac
use this to solve it for any quadratic equation for the discriminant