Answer:
Variable "m"
Step-by-step explanation:
Hello!
The equation is perhaps the most used equation when representing a line. The parts of the equation:
- y = output, y-value, ordinate...
- m = slope, rate of growth, rise over run...
- x = input, x-value, abscissa...
- b = y-intercept
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Let's use an example: y = 2x + 5
We want to find the y-value when x is 2.
To solve, simply plug in 2 for x:
- y = 2(2) + 5
- y = 4 + 5
- y = 9
So, the coordinate when x is 2 is (2,9), remember that coordinates are written in (x,y) format.
Image: y = 2x + 5
Given:
The point is (-5,7).
To find:
The image of the given point after 90 degrees counter clockwise rotation.
Solution:
If a point rotated 90 degrees counter clockwise, then
Let the given point is P(-5,7). Using the above rule, we get
Therefore, the image of the given point after 90 degrees counter clockwise rotation is (-7,-5).
Since HLI and HLG are complementary angles (add together to make 90 degrees), you can set them up in the equation (25m + 22) + (9m) = 90.
25m + 22 + 9m = 90 add like numbers
34m + 22 = 90 subtraction property
34m = 68 divide
m = 2
substitute m = 2 into the equation got angle HLG (25m + 22)
25(2) + 22
50 + 22
HLG = 72
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We have to calculate the total weight of the three samples. After that we have to choose the correct answer. Weight of those three samples is: 0.170 grams, 0.204 grams and 2.300 grams. We simply have to find the sum of those weights: 0.170 g + 0.204 g + 2.300 g = 2.674 g. Answer: <span>C. 2.674 grams.</span>