Answer:
(x-6)(x+2)
Step-by-step explanation:
Use FOIL to check if the factors work.
x * x = x²
(x * 2) + (x * -6) = 2x - 6x = -4x
-6 * 2 = -12
The answer is (-21, 13) for The second endpoint.
Let's start by calling the known endpoint L and the unknown K. We'll call the midpoint M. In order to find this, we must first note that to find a midpoint we need to take the average of the endpoints. To do this we add them together and then divide by 2. So, using that, we can write a formula and solve for each part of the k coordinates. We'll start with just x values.
(Kx + Lx)/2 = Mx
(Kx + 1)/2 = -10
Kx + 1 = -20
Kx = -21
And now we do the same thing for y values
(Ky + Ly)/2 = My
(Ky + 7)/2 = 10
Ky + 7 = 20
Ky = 13
This gives us the final point of (-21, 13)
Voy a responder en el mismo idioma en que está la pregunta.
1) Venta con ganancia
Precio de venta 60 soles.
Ganancia = 20% del costo => costo + 0,20 * costo = precio
=> costo (1 + 0,20) = precio = 60 soles
=> costo (1,20) = 60 soles => costo = 60 soles / 1,20 = 50 soles
2) Venta con pérdida del 20%
Pérdida = 20% del costo
=> costo - precio = 20% * costo => costo - 0,20*costo = precio
=> costo ( 1 - 0,20) = 60 soles => costo * 0,80 = 60 soles
=> costo = 60 soles / 0,80 = 75 soles
3) Costo total = 50 soles + 75 soles = 125 soles
4) Ganancia total = valor total de venta - costo total
Ganancia total = 2 * 60 soles + 125 soles = 120 soles - 125 soles = - 5 soles.
El signo negativo significa que al final se perdió 5 soles en la operación.
Answer:
Step-by-step explanation:
We are given a circle with a partially shaded region. First, we need to determine the area of the whole circle. To do this, we need the measurement of the radius of the circle:
Use the Pythagorean theorem to solve for the other leg of the right triangle inside the circle:
5^2 = 3^2 + x^2
x = 4
The radius is 4 + 1 cm = 5 cm
So the area of the circle is A = pi*r^2
A = 3.14 * (5)^2
A = 25pi cm^2
To solve for the area of the shaded region:
Ashaded = Acircle - Atriangles
we need to solve for the area of the triangles:
A = 1/2 *b*h
A = 1/2 *6 * 5
A = 15 cm^2
Atriangles = 2 * 15
Atriangles = 30 cm^2
Ashaded = 25pi - 30
