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Maslowich
3 years ago
7

20 points!!! Please Help Does the equation x2 - 4x + y2 = -3 intersect the x-axis?

Mathematics
2 answers:
mars1129 [50]3 years ago
7 0

Yes, because the center is on the x-axis, the circle will intersect 2 times, at x=1 and at x=3

OverLord2011 [107]3 years ago
6 0

Answer:

Yes, twice

Step-by-step explanation:

The equation will intersect the x-axis when y = 0, so we have

x² - 4x = -3    now solve this quadratic for x...

  x² - 4x + 3 = 0    

factor...

(x - 3)(x - 1) = 0,

so at x = 1 and x = 3, the function crosses the x-axis

See the graph below

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Miss lead says that if y varies directly with x and y=15 when x=-3, then y=-20 when x=4. Is she correct? Answer in complete sent
gizmo_the_mogwai [7]

Answer:

Yes,  she is correct.

Step-by-step explanation:

y = kx   is direct variation

15 = k*-3

k = -5.

So the equation of variation is

y = -5x

When x = -4:

y -5*-4 = 20.

6 0
2 years ago
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6 0
3 years ago
If f(x)=sinx−1/cos2x, then limx→π2f(x) is equivalent to which of the following?
Harrizon [31]

Answer:

2

Step-by-step explanation:

Given g(x) = sin(x)-1/cos2(x), we are to find the limit if the function g(x) as g(x) tends to π/2

Substituting π/2 into the function

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Hence the limit of the function h(x) = sin(x)-1/cos2(x) as x--> π/2 is 2

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3 years ago
Can someone please help me with this math problem:)
Dennis_Churaev [7]

Answer:

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Step-by-step explanation:

Since the triangles are similar then the ratios of corresponding sides are equal, that is

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x = 20

5 0
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Step-by-step explanation: and imma put the answer inside the comments if you do so. youve got nothing to lose! :D

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