Answer:
Step-by-step explanation:
The first one
Answer:
(-5 , 1)
Step-by-step explanation:
If you are reflecting over the x-axis, you are changing the sign of the y.
If you are reflecting over the y-axis, you are changing the sign of the x.
In this case, you have the point (5 , 1). You are reflecting over the y-axis, which means that you are flipping the sign of the x value.
(5 , 1) reflected over the y-axis is (-5 , 1)
(-5 , 1)
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Using a differential equation, it is found that the temperature dropped 72 degrees Celsius between sundown and 3 hours after sundown.
<h3>What is the differential equation that describes the temperature in t hours after sundown?</h3>
The rate at which the temperature is dropping is 
degrees Celsius per hour t hours after sundown, hence the <em>differential equation</em> is:
Applying <em>separation of variables</em>, we find the solution as follows:
In which T(0) is the temperature at sundown.
In 3 hours, the change will be of:
Hence:
The temperature dropped 72 degrees Celsius between sundown and 3 hours after sundown.
You can learn more about differential equations at brainly.com/question/24348029
Answer:
12/5
Step-by-step explanation:
m= slope
m=Y2-Y1/X2-X1
Y2=5, Y1=-7, X2=3, X1=-2
Substitute into equation
m=5-(-7)/3-(-2)
m=5+7/3+2
m=12/5
slope is 12/5
Answer:
x = (y + 26)/5
Step-by-step explanation:
Order of Operations: BPEMDAS
Step 1: Write out equation
y + 6 = 5(x - 4)
Step 2: Distribute
y + 6 = 5x - 20
Step 3: Isolate <em>x</em>
y + 26 = 5x
Step 4: Isolate variable <em>x</em>
(y + 26)/5 = x
Step 5: Rewrite
x = (y + 26)/5
