Answer:
the mid point of
a line segment is M(-3,2)one end point of the segment isP(1,-3)find the coordinates of the end point
1) Taking in account that the function is f(x)= -(2/3) |x+4|-6, I enclose a file with the graph.
That helps you to conclude:
a) The graph of f(x) has a vertex on (-4, -6)
b) When you multiply a function times 2/3 it is vertically compressed which is equivalent to horizontally streched.
c) The graph of f(x) opens downward
d) The domain of f(x) is all the real values (the absolute function accepts any value of x either positive or negative)
Answer: the graph of f(x) is horizontally stretched.
El saco tiene un precio original de 400 soles.
<h3>¿Cómo determinar el precio inicial de un saco comprado con descuento?</h3>
En este problema tenemos el caso de un precio de compra (P'), en soles, que es resultado de aplicar dos descuentos consecutivos al precio original del saco (P), en soles. El precio es el resultado de multiplicar el precio original por los dos factores de porcentaje, descrito por la siguiente fórmula:
P' = P · (1 - r₁ / 100) · (1 - r₂ / 100), 0 ≤ r₁, r₂ ≤ 100.
Donde:
- r₁ - Porcentaje del primer descuento.
- r₂ - Porcentaje del segundo descuento.
Si sabemos que P' = 224, r₁ = 30 y r₂ = 20, entonces el precio original del saco es:
224 = (1 - 30 / 100) · (1 - 20 / 100) · P
224 = 0.7 · 0.8 · P
P = 224 /(0.7 · 0.8)
P = 400
El precio original del saco es de 400 soles.
Para aprender más sobre descuentos: brainly.com/question/24130820
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The triangle ABC is a right angled triangle , right angled at C because it is the angle subtended by the diameter
Now OA = OB = OC = 4 cm (radii)
AB = OA + OB = 8 cm
By pythagoras theorem ,


AC =4 
shade region area = area of semicircle - area of triangle
=
- 1/2 × base × height
=1/2 × 16
- 1/2 × 4 × 
=8
- 8
=8(
)