Answer:
23
Step-by-step explanation:
Exterior angle property: Exterior angle equals sum of opposite interior angles
51 + 2x +3 = 100
2x + 54 = 100
2x = 100 - 54
2x = 46
x = 46/2
x = 23
Answer:
Figure 3
Because there are 2 arrows going to the y numbers meaning that there are multiple of an x value and in functions there can not be multiple of the same x values (if that makes any sense)
With respect to the <em>parent</em> function y = cos x, we have these function according to the order of the graphs:
- cos x
- cos (1/2)x
- cos 4x
- cos 2x
- cos (1/4)x
<h3>How to find the functions corresponding to each graph based on the period of a function</h3>
Mathematically speaking, cosines are <em>periodic</em> functions and period (T) is the distance in the <em>horizontal</em> axis such that f(t + T) = f(t). The period of the <em>parent</em> <em>cosine</em> function is 2π. Period in <em>daughter</em> functions may vary by means of the following form:
y = cos Ax (1)
Where:
- x - Independent variable
- y - Dependent variable
- A - Period width
Please notice that <em>daughter</em> functions report periods <em>longer</em> than in the <em>parent</em> function for 0 < A < 1 and a <em>shorter</em> one for A > 1. In consequence, these functions appear in the following order:
- cos x
- cos (1/2)x
- cos 4x
- cos 2x
- cos (1/4)x
To learn more on periodic functions: brainly.com/question/26369761
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Substraction is a comutative operation
x + 3x + 4 = 72
4x + 4 = 72
4x = 68
x = 68 / 4
x = 17.
I’m answering for d coz there is no diagram for c.
H (2,-2)
J (-2,0)
M= (y2 - y1) / (x2 - x1)
= (0 - (-2)) / (-2-2)
= 2 / -4
= -1/2
Y intercept = -1
Regards.
