X= -23/3, 23/3 calculate absolute value move constant to the right subtract those two numbers divide both by 3 then you get the answer i put up there
Equation of required line is:
Step-by-step explanation:
First of all we will convert both equations in slope-intercept form
Subtracting 5x from both sides
Subtracting 9 from both sides
The y-intercept is -9.
Other equation is:
Adding 3x on both sides
Dividing both sides by 4
As the required line has y-ntercept of line y + 5x + 9 = 0
So,
b = -9
And
The line is parallel to second line, so the slopes of both will be equal
Slope-intercept form of line is:
Putting values of b and m
Keywords: Equation of line, Slope-intercept form
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Answer:
The cosine function is f(t) = -30sin(π÷3)t + 20
Step-by-step explanation:
Given : The temperature of a chemical reaction ranges between −10 degrees Celsius and 50 degrees Celsius. The temperature is at its lowest point when t = 0, and the reaction completes 1 cycle during a 6-hour period.
To find : What is a cosine function that models this reaction?
General form of cosine function is f(x) = A cos(Bx)+C
Where A is the amplitude
B=2π÷Period
C is the midline
Now, We have given
The temperature of a chemical reaction ranges between −10 degrees Celsius and 50 degrees Celsius.
A is the average of temperature,
i.e,
A=(-10-50)÷2 = -30
Period of 1 cycle is 6 hour
So,
B = 2π÷6 = π÷3
The temperature is at its lowest point when t = 0 and we know lowest point is -10
So,
f(t) = A cos t + C
-10 = -30 cos 0 + C
Therefore, C = 20
Substituting the values, we get
The cosine function is f(t) = -30sin(π÷3)t + 20
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Respuesta:
Edad de Claudia = 5 años
Edad de María = 5 * 3 = 15 años
Explicación paso a paso:
Dejar :
Edad de Claudia = x
Edad de María = 3x
En 5 años :
3x + 5 = 2 (x + 5)
3x + 5 = 2x + 10
3x - 2x = 10-5
x = 5
Edad de Claudia = 5 años
Edad de María = 5 * 3 = 15 años
Answer:
1. 48 divide by 4
Step-by-step explanation:
