Sound or vibration wave that is conducted
Answer:
<h2>See below</h2>
Step-by-step explanation:
I can't drag and drop the graphs, but I can graph the equations shown. Then, all you will have to do is match the graphs shown the the graph that I will provide.
<h3>EQUATION 1: y = x² - 2</h3>
Graph Properties:
Opens up
Vertex is 0, -2
Axis of symmetry is x = 0
Graph photo shown in file called equation 1 graph
<h3>EQUATION 2: y = 2x²</h3>
Graph Properties:
Opens up
Vertex is 0, 0
Axis of symmetry is x = 0
Graph photo shown in file called equation 2 graph
<h3>EQUATION 3: y = (x - 2)²</h3>
Graph Properties:
Opens up
Vertex is 2, 0
Axis of symmetry is x = 2
Graph photo shown in file called equation 3 graph
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Answer:
Thus the length = 230 and width = 90.
Step-by-step explanation:
Farmer Fernanda wants to put a fence around her rectangular field. The length of the field is 40 feet less than 3 times the width.
She has 320 feet of fencing.
Let the length of the rectangular fence be x and the width of the fence be y.
Then the relation between them is
x = 3y - 40
Also x + y = 320
Solving these equations,
320 - y = 3y - 40
4y = 360
y = 90
x = 230
Thus the length = 230 and width = 90.
<h3>Given</h3>
trapezoid PSTK with ∠P=90°, KS = 13, KP = 12, ST = 8
<h3>Find</h3>
the area of PSTK
<h3>Solution</h3>
It helps to draw a diagram.
∆ KPS is a right triangle with hypotenuse 13 and leg 12. Then the other leg (PS) is given by the Pythagorean theorem as
... KS² = PS² + KP²
... 13² = PS² + 12²
... PS = √(169 -144) = 5
This is the height of the trapezoid, which has bases 12 and 8. Then the area of the trapezoid is
... A = (1/2)(b1 +b2)h
... A = (1/2)(12 +8)·5
... A = 50
The area of trapezoid PSTK is 50 square units.