Answer:
if she makes 3+10 dollars per hour we can write a ratio of 13 dollars: 1 hour. In 5 hours she makes 13 x 5 dollars = 65 dollars. The slope represents the dollars made and the y intercept represents hours worked.
Step-by-step explanation:
Ratios
Answer:
The equation of your line is y=1x+2
Step-by-step explanation:
first you take y2-y1/x2-x1
y2=-1 y1=5
x2= -3 x1= 3
that gives you your slope so (-1-5)/ (-3-3) = 1
y=mx+b
mx is your slope
y=1x+b
to solve for b you input your slope and one of your points (I used (3,5)
5=1(3) +b
solve for b and you get 2
then put your mx and b into the equation of a line
y=1x+2
and thats your answer
You can also check your work by using a graphing calculator and checking that the line goes through those two points.
Answer:
Step-by-step explanation:
Given
See attachment for circle
Required
The circle equation
First, we get the radius of the circle.
From the attachment, we have:
Next, the center of the circle
The equation of the circle is:
This gives:
Expand
Collect like terms
Hence, the equation in general form is:
Answer:
The general solution:
Step-by-step explanation:
Differential equation: y'' + 8y' + 16y = 0
We have to find the general solution of the above differential equation.
The auxiliary equation for the above equation can be writtwn as:
m² + 8m +16 = 0
We solve the above equation for m.
(m+4)² = 0
= -4, = -4
Thus we have repeated roots for the auxiliary equation.
Thus, the general solution will be given by:
y =
y =
⭐Solución de problemas: Cada encomiendo tiene un peso de 2 kilogramos. En fracción esto representa 1/4 de la masa total.
Y
¿por qué? Usted tiene una masa total entre los 4 encomiendos de 8 kilogramos, por lo que en orden
para expresar el peso de cada uno de ellos, tenemos
la siguiente expresión: Masa total de encomiendas (kg)/Número de encomiendas (unidad)Sustituimos:
8 kg/4 s
2 kg por encomiendaOfertamos la fracción que representa cada una en el total:
kg por encomienda/total de kg
2/8 x 1/4