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MakcuM [25]
2 years ago
6

Factor the expression to write an equivalent expression for 49x+14. Example: make it look like this. 2(2x+4)

Mathematics
1 answer:
grigory [225]2 years ago
7 0

Answer:

7(7x + 2)

Step-by-step explanation:

when distributed it will be 49x + 14

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The center of a circle lies on the line y = 4x + 1 and is tangent to the x-axis at (−3,0) . What is the equation of the circle i
Hunter-Best [27]

Answer:

(x+3)^2+(y+11)^2=121

Step-by-step explanation:

Consider a sketch of the problem as shown in the picture, where:

  • Blue line is given by y = 4x + 1.
  • Point B is the center of the circle.
  • Point A is (-3, 0).

Since the center of the circle lies on the line y = 4x +1 and is tangent to the x-axis at point A, then its radius BA is perpendicular to the x-axis. To find the coordinates of point B, we must replace x = -3 into the blue line equation: y = 4x(-3) + 1 = -11.

So, we know that the center of the circle is at B=(-3, -11). And furthermore, the radius BA is of length r=11.

Since the <em>general equation of the circle</em> of radius lenght r centered at (h, k) is given by

(x-h)^2+(y-k)^2=r^2

then with h = -3, k = -11 and r= 11, the equation of our circle is

(x+3)^2+(y+11)^2=121

5 0
2 years ago
HELP HELP HELP HELP HELP HELP HELP HELP !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
alexira [117]

Answer: A. $6x + $27 < $87

Step-by-step explanation:

Your question says “...x represents the number of times he eats out”, when he eats out its $6, so that means obviously that the x would be by the 6 and the less then symbol would be facing 87 cause your wont to spend less then that amout.

Have a good day and stay safe :)

4 0
2 years ago
A one-parameter family of solutions of the de p' = p(1 − p) is given below.
tensa zangetsu [6.8K]

Answer:

A solution curve pass through the point (0,4) when c_{1} = -\frac{4}{3}.

There is not a solution curve passing through the point(0,1).

Step-by-step explanation:

We have the following solution:

P(t) = \frac{c_{1}e^{t}}{1 + c_{1}e^{t}}

Does any solution curve pass through the point (0, 4)?

We have to see if P = 4 when t = 0.

P(t) = \frac{c_{1}e^{t}}{1 + c_{1}e^{t}}

4 = \frac{c_{1}}{1 + c_{1}}

4 + 4c_{1} = c_{1}

c_{1} = -\frac{4}{3}

A solution curve pass through the point (0,4) when c_{1} = -\frac{4}{3}.

Through the point (0, 1)?

Same thing as above

P(t) = \frac{c_{1}e^{t}}{1 + c_{1}e^{t}}

1 = \frac{c_{1}}{1 + c_{1}}

1 + c_{1} = c_{1}

0c_{1} = 1

No solution.

So there is not a solution curve passing through the point(0,1).

3 0
3 years ago
Lilli jogs 12 mile in 110 hour. What is Lilli's rate in miles per hour?
KIM [24]

Answer:

.109090909 miles per hour

Step-by-step explanation:

To find miles per hour, take the miles and divide by the hours

12 miles/110 hours

.109090909 miles per hour

6 0
2 years ago
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HELP PLS &lt;3 ASAP <br> KSKXNXNNmxmx
nydimaria [60]

Answer:

sbshsbsbhshsndjdudbdjdjdjdb

Step-by-step explanation:

shsbshshudhdbdudjdjdsbsbsb

6 0
2 years ago
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