Answer:
y=5x+7
Step-by-step explanation:
y-y₁=m(x-x₁) will be our starting equation
Now input (-2, -3) and 5 as our slope because a parallel line has the same slope.
y-(-3)=5(x-(-2)) Input
y+3=5(x+2) Simplify
y+3=5x+10 Distribute 5 into the parenthesis
y=5x+7 Subtract 3 from both sides
Answer:
x = 3, x = 0
Step-by-step explanation:
To solve these factored equations, just divide each part by zero and solve.
2x(x-3) = 0 → (x-3) = 0, and 2x = 0.
(x-3) = 0 → x - 3 + 3 = 0 + 3 → <u>x = 3.</u>
2x = 0 → 2x/2 = 0/2 → <u>x = 0.</u>
Answer:
D) The circle is centred at (-8,3) and has a diameter 20
Step-by-step explanation:
<u><em>Explanation:-</em></u>
Given that the circle
( x + 8)² +( y-3)² = 100
⇒ ( x + 8)² +( y-3)² = 10²
Standard form of the circle ( x-h)² +(y-k)² = r²
Centre of the circle (h , k) = (-8 , 3)
Radius of the circle r = 10
Diameter of the circle 'd' = 2r = 2(10) =20
<u><em>Final answer:-</em></u>
The circle is centred at (-8,3) and has a diameter 20
First one is 2 and the other is 4
Answer:
Las mujeres representan el 50.63% de la población.
Step-by-step explanation:
Este problema es un problema de proporciones el cual puede resolverse usando una regla de tres.
El problema nos dice que la población total de Colombia es de 49,821,512 y nos pide calcular qué porcentaje representa el total de mujeres que es igual a 25,228,444. Si llamamos x al porcentaje de mujeres podemos representar esto de la siguiente manera mediante una regla de tres:
Población Porcentaje
49, 821,512 100%
25,228,444 x%
Resolviendo para x tenemos que:
![x=\frac{25,228,444(100)}{49,821,512}=\frac{2,522,844,400}{49,821,512}= 50.6376](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B25%2C228%2C444%28100%29%7D%7B49%2C821%2C512%7D%3D%5Cfrac%7B2%2C522%2C844%2C400%7D%7B49%2C821%2C512%7D%3D%2050.6376)
Por lo tanto, las mujeres representan el 50.63% de la población.