Assuming PQRS is a parallelogram, we have PQ = RS, and angles S and R are supplementary so their measures sum to 180°.
So
5<em>x</em> = <em>x</em> + 12
4<em>x</em> = 12
<em>x</em> = 3
→ PQ = 5<em>x</em> = 15
and
12<em>z </em>° + 6<em>z</em> ° = 180°
18<em>z</em> ° = 180°
<em>z</em> = 180/18 = 10
→ m∠<em>S</em> = 12•10° = 120°
Answer:
y=-3/2x+7.5
Step-by-step explanation:
You need to find the slope by subtracting second point,(7,-3), from the first point, (5,0), you get the slope of -3/2.
you need to put it on a graph with that slope, place the original two points and you move the slope up the y-axis 7.5, making the y-intercept (7.5,0)
Answer:
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
- Reading a Cartesian plane
- Coordinates (x, y)
- Slope Formula:
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Find points from graph.</em>
Point A(0, 8)
Point B(4, 5)
<u>Step 2: Find slope </u><em><u>m</u></em>
Simply plug in the 2 coordinates into the slope formula to find slope <em>m</em>
- Substitute in points [Slope Formula]:
- [Fraction] Subtract:
2 - 6 ÷ 6 (Order of Operations - PEMDAS)
= 2 - 1
= 1
Answer is 1
we conclude that the graphed equation is:
y = 4*cos(pi*x)
<h3>
</h3><h3>
Which trigonometric equation is the one in the graph?</h3>
First, we can see that the graphed function is even, so we know that it wiill be a cosine.
We also can see that the maximum is 4 and the minimum is -4, so the amplitude is 4.
Then we have something like:
y = 4*cos(b*x)
To find the value of b, we can use the fact that the zeros of the function are at x = ±1/2
Then:
b*1/2 = pi/2
b = pi
Finally, we conclude that the graphed equation is:
y = 4*cos(pi*x)
If you want to learn more about trigonometric equations:
brainly.com/question/8120556
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