In the future, please post the full problem with all included instructions. After doing a quick internet search, I found your problem listed somewhere else. It mentions two parts (a) and (b)
Part (a) asked for the equation of the line in y = mx+b form
That would be y = -2x+9
This is because each time y goes down by 2, x goes up by 1. We have slope = rise/run = -2/1 = -2. This indicates that the height of the candle decreases by 2 inches per hour. The slope represents the rate of change.
The initial height of the candle is the y intercept b value. So we have m = -2 and b = 9 lead us from y = mx+b to y = -2x+9
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Part (b) then asks you to graph the equation. Because this is a linear equation, it produces a straight line. We only need 2 points at minimum to graph any line. Let's plot (0,9) and (1,7) on the same xy grid. These two points are the first two rows of the table. Plot those two points and draw a straight line through them. The graph is below
Hi there!
Something really good to remember about trigonometry is SOHCAHTOA. I won’t dive into too much detail about it, but you should google it for future assignments.
Anyways,
tan50°=14/AB
ABtan50°=14
AB=14/tan50°
AB=11.75
cos50°=14/AC
ACcos50°=14
AC=14/cos50°
AC=21.78
For the measure of angle C you can use a theorem called the third angle theorem. In every single possible triangle, the sum of all three angles adds up to 180°. You can set up an equation like so...
angleC=180-(90+50)
angleC=180-140
angleC=40°
First you need to multiple minus in second bracket, also in other side you need to multiple - 3 in bracket
Final answer is 0
Answer: x=20°
Explanation: Since UTX is a diameter, it is equal to 180°. You can now set up the equation (4x+2)+x+78=180. Then solve for x.
You should get, x=20.
The four answer choices are equal and pass through the point (-3,1), which you verify replacing the variables:
y - 1 = (x + 3)
1 - 1 = -3 + 3
0 = 0.
The other factor that you have to considerate is the slope.
The slope of the equation y - 1 = x + 3 is 1 (the coefficient of the x).
Given that the slopes of two parallel line are the same (equal), you need to determine the slope of the parallel line.
Once you know the slope of the parallel line, you can choose the right option.
The equation shown, y - 1 = x + 3 is the right fit if and only if the parallel line has slope 1.
