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vodka [1.7K]
3 years ago
11

Graph the circle which is centered at (-4,1) and which has the point (0,4) on it

Mathematics
1 answer:
Allushta [10]3 years ago
7 0

Answer:

  see the attachment for the graph

Step-by-step explanation:

Since all you want is the graph, it is convenient to use a graphing program to produce it.

__

You will notice that the point on the circle is 4 units over and 3 units up from the center.* This tells you the square of the radius is 4²+3² = 25. You only need to know this if you're using a graphing calculator to plot the equation ...

  (x +4)^2 +(y -1)^2 = 25

If you're graphing this by hand, you can set your compass to the distance between the plotted points, as we have done in our graphing program.

_____

* Hopefully, you recognize these (4 and 3) as the legs of a 3-4-5 right triangle, so you know immediately that the radius is 5. Even if you don't, you can figure it using the Pythagorean theorem, as we have done above.

__

The standard form equation of a circle with center (h, k) and radius r is ...

  (x -h)^2 +(y -k)^2 = r^2

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QUESTION 1 1 POINT<br> Factor: 27m3<br> 64.<br> Provide your answer below:<br> Content attribution
pickupchik [31]

Answer:

\boxed{ \bold{ \boxed{ \sf{(3m - 4)(9 {m}^{2}  + 12m + 16)}}}}

Step-by-step explanation:

\sf{27 {m}^{3}  - 64}

\dashrightarrow{ \sf{( {3m)}^{3}  -  {(4)}^{3} }}

Use the formula of a³ - b³ = ( a - b) ( a² + ab + b² )

\longrightarrow{ \sf{(3m - 4)(3 {m}^{2}  + 3m \times 4 +  {4}^{2} }})

\longrightarrow{ \sf{(3m - 4)( {9m}^{2}  + 12m + 16}})

Hope I helped!

Best regards! :D

5 0
3 years ago
2/3+1/12 what's the answer
tester [92]

Answer:

3/4 or 9/12 make the denominators the same then just add

6 0
2 years ago
Read 2 more answers
The blue figure is a dilation of the black figure. the labeled point is the center of dilation. tell whether the dilation is an
Varvara68 [4.7K]

Answer:

Step-by-step explanation:

um

8 0
2 years ago
(3x + 1) &gt; -7+ 3x<br> Plz help me
Luda [366]

Answer:

0, -1

Step-by-step explanation:

This question was answered in another place since you asked it twice. Please refer to the other place that you asked the same question.

5 0
2 years ago
Quadrilateral KLMN is a rectangle. The coordinates of L are L(1,-4), and the coordinates of Mare M(3,-2). Find the slopes of sid
lozanna [386]
L(1, -4)=(xL, yL)→xL=1, yL=-4
M(3, -2)=(xM, yM)→xM=3, yM=-2

Slope of side LM: m LM = (yM-yL) / (xM-xL)
m LM = ( -2 - (-4) ) / (3-1)
m LM = ( -2+4) / (2)
m LM = (2) / (2)
m LM = 1

The quadrilateral is the rectangle KLMN
The oposite sides are: LM with NK, and KL with NK
In a rectangle the opposite sides are parallel, and parallel lines have the same slope, then:
Slope of side LM = m LM = 1 = m NK = Slope of side NK
Slope of side NK = m NK = 1

Slope of side KL = m KL = m MN = Slope of side MN

The sides KL and LM (consecutive sides) are perpendicular (form an angle of 90°), then the product of their slopes is equal to -1:
(m KL) (m LM) = -1
Replacing m LM = 1
(m KL) (1) = -1
m KL = -1 = m MN

Answer:
Slope of side LM =1
Slope of side NK =1
Slope of side KL = -1
Slope of side MN = -1 
3 0
3 years ago
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