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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

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The swimming pool at spring valley high is a rectangle with a width of 65 meters and a length of 30 meters. Around the perimeter

pentagon [3]

65+w*30+w i think is the answer

4 0

2 years ago

This trapezium is drawn on a centimetre grid. Find the area of the trapezium.

aivan3 [116]

Answer:

20 unit²

Step-by-step explanation:

A trapezium is given to us on the grid and we need to find out the area of the trapezium . In order to find the area , we need to find the measure of the parallel sides and the distance between the parallel sides.

From the grid :-

$\rm\implies Side_1 = 7 \ units$

$\rm\implies Side_2 = 3 \ units$

$\rm\implies \perp \ Distance =4 \ units$

Now here we got the two parallel sides of the trapezium and the distance between the two parallel sides. Now we can find the area as ,

$\rm\implies Area_{Trapezium}= \dfrac{1}{2}\times ( s_1 + s_2) \times \perp \ Distance \\\\\rm\implies Area = \dfrac{1}{2} \times ( 7 + 3 ) \times 4 \ unit^2 \\\\\rm\implies Area = \dfrac{1}{2} \times ( 10) \times 4 \ unit^2 \\\\\rm\implies\boxed{\rm Area = 20 \ unit^2}$

3 0

3 years ago

40 POINTS NEED HELP ASAP

sesenic [268]

Use slope formula: y2-y1/x2-x1

XZ: -5/9
YZ: 2/7
XY: -7/2

XYZ is a right triangle because two of these slopes have a product of -1.

(YZ and XY does). We are all busy these days.

7 0

2 years ago

Read 2 more answers

The high temperature was 92 degrees. This was 24 degrees higher than the overnight low temperature. Write an equation to determi

Romashka-Z-Leto [24]

L = H - 24
L = low temperature.
H = High Temperature = 92 degrees
L = 92 - 24
L = 68

8 0

3 years ago

Read 2 more answers

Is 9.521521521 rational or irrational

enyata [817]

If the numbers after the decimal terminate, yes, it's rational.

9.521521521 = 9,521,521,521 / 1,000,000,000

If they don't terminate, but the pattern continues (which I suspect is the case here), yes, it's still rational.

If x = 9.521521521…, then

1000x = 9521.521521521…

Subtract x from this to eliminate the fractional part:

1000x - x = 9521.521521521… - 9.521521521…

999x = 9512

x = 9512/999

If they don't terminate, but the pattern does not continue, meaning the next few digits could be something random like

9.52152152119484929271283583457…

then the number would be irrational.

7 0

2 years ago