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Levart [38]
2 years ago
6

Can I get help I'm very confused

Mathematics
1 answer:
horrorfan [7]2 years ago
3 0

Answer:

y=(-3/4)x-3

The question is asking you under what condition does x must go through to equal to y according to this graph; like what formula is the used on the input (x) to equal the output (y)

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Given that x=3sin​​θ-2 and y=3cos​​​θ+4.Show that (x+2)²+ (y-4)²=9​​​​​​
asambeis [7]

Answer:

First, plug-in x and y as 3sin​​θ-2 and 3cos​​​θ+4 into the equation, respectively:

((3\sin (\theta)-2)+2)^2 + ((3\cos (\theta)+4)-4)^2 = 9

Then, +2 and -2 cancel out and +4 and -4 cancel out as well, leaving you with:

(3\sin(\theta))^2+(3\cos(\theta))^2=9

We can factor out 3^2 = 9 from both equations:

9(\sin(\theta)^2+cos(\theta)^2) = 9

We know from a trigonometric identity that \sin(\theta)^2+cos(\theta)^2 = 1, meaning we can reduce the equation to:

9(1) = 9

9=9

And therefore, we have shown that (x+2)^2 + (y-4)^2 = 9, if x=3sin​​θ-2 and y=3cos​​​θ+4.

Hope this helped you.

7 0
3 years ago
<img src="https://tex.z-dn.net/?f=50.705%20%5Cdiv%202.646" id="TexFormula1" title="50.705 \div 2.646" alt="50.705 \div 2.646" al
nikitadnepr [17]

Answer:

19.1628873772

Step-by-step explanation:

50.70500 ÷ 2.64600 = 19.1628873772

8 0
3 years ago
Read 2 more answers
Quadrilateral MNQP has vertices as shown. If the figure is translated 4 units left and 3 units down, what are the coordinates of
PilotLPTM [1.2K]
<h3>Answer:    (-3, 0)</h3>

Explanation:

Point N is at (1,3)

We apply the rule (x,y) \to (x-4,y-3) which will translate the point 4 units to the left and 3 units down.

The old x coordinate x = 1 becomes x-4 = 1-4 = -3

The old y coordinate y = 3 becomes y-3 = 3-3 = 0

The point N(1,3) moves to N ' (-3, 0)

4 0
2 years ago
A set of equations is given below:
TEA [102]
The 3rd selection is appropriate.

.. 5b +1 = a = 3b +5
by the transitive property of equality,
.. 5b +1 = 3b +5
6 0
3 years ago
Carla has 1 gallon of paint. She is going to pour it into a paint tray that measures 10 inches wide, 10 inches long, and 7 cm de
STatiana [176]
To determine the correct statement in the choices presented, we first have to solve the area of the tray. We assume it to be in a rectangular form so the area is:

Area = 10 in x 10 in x 7/2.54 in = 275.59 in³ for the paint tray
1 gallon paint = 231 in³ paint

Therefore, the correct answer is the first option. <span>The paint will not fill the tray by 44.59 in</span>³<span>.</span>
7 0
3 years ago
Read 2 more answers
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