All categories

3 years ago

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

You might be interested in

Diane ande her 3 friends when out to eat the total cost of lunch was $34 if they split the bill evenly how much Will each person

ahrayia [7]

Answer:

8.5

Step-by-step explanation:

34 divided by 4

4 0

3 years ago

Read 2 more answers

1) What is the equation of the line whose y-intercept is 3 and slope is 1?

s2008m [1.1K]

$The\ slope-intercept\ form:y=mx+b\\\\m\ is\ slope\\b\ is\ y-intercept\\\\m=1;\ b=3\ then\ y=1x+3\Rightarrow y=x+3$

5 0

3 years ago

Read 2 more answers

CAN ANYONE HELP ME ON THIS

SpyIntel [72]

Answer:

i can help

Step-by-step explanation:

what the question

7 0

2 years ago

Write the standard form of the line that passes through the point (1,5) and is parallel to the x -axis. Include your work in you

scoray [572]

Answer:

y = 5

Step-by-step explanation:

A line parallel to the x- axis has equation

y = c

Where c is the value of the y- coordinates the line passes through

The line passes through (1, 5) with y- coordinate of 5, thus

y = 5 ← equation of line

7 0

3 years ago

Which property is used in the problem below?<br><br> 2(x+4)=2x+8

frutty [35]

Answer:

You would use the distributive property.

Step-by-step explanation:

2(x+4) = 2x+8

2x+8x = 2x+8

10x = 2x+8

10x - 2x = 2x-2x+8

8x = 8

8x/8 = 8/8

x = 1

7 0

2 years ago