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2 years ago

5

Is 5 a rational number or an irrational number?

2 answers:

Marianna [84]2 years ago

8 0

Answer:5 is a rational number

Step-by-step explanation:

nasty-shy [4]2 years ago

7 0

Answer:

It is a rational number

Step-by-step explanation:

You might be interested in

raph the equation with a diameter that has endpoints at (-3, 4) and (5, -2). Label the center and at least four points on the ci

andreyandreev [35.5K]

Answer:

Equation:

${x}^{2} + {y}^{2} + 2x - 2y - 35= 0$

The point (0,-5), (0,7), (5,0) and (-7,0)also lie on this circle.

Step-by-step explanation:

We want to find the equation of a circle with a diamterhat hs endpoints at (-3, 4) and (5, -2).

The center of this circle is the midpoint of (-3, 4) and (5, -2).

We use the midpoint formula:

$( \frac{x_1+x_2}{2}, \frac{y_1+y_2,}{2} )$

Plug in the points to get:

$( \frac{ - 3+5}{2}, \frac{ - 2+4}{2} )$

$( \frac{ -2}{2}, \frac{ 2}{2} )$

$( - 1, 1)$

We find the radius of the circle using the center (-1,1) and the point (5,-2) on the circle using the distance formula:

$r = \sqrt{ {(x_2-x_1)}^{2} + {(y_2-y_1)}^{2} }$

$r = \sqrt{ {(5 - - 1)}^{2} + {( - 2- - 1)}^{2} }$

$r = \sqrt{ {(6)}^{2} + {( - 1)}^{2} }$

$r = \sqrt{ 36+ 1 } = \sqrt{37}$

The equation of the circle is given by:

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

Where (h,k)=(-1,1) and r=√37 is the radius

We plug in the values to get:

$(x- - 1)^2 + (y-1)^2 = {( \sqrt{37}) }^{2}$

$(x + 1)^2 + (y - 1)^2 = 37$

We expand to get:

${x}^{2} + 2x + 1 + {y}^{2} - 2y + 1 = 37$

${x}^{2} + {y}^{2} + 2x - 2y +2 - 37= 0$

${x}^{2} + {y}^{2} + 2x - 2y - 35= 0$

We want to find at least four points on this circle.

We can choose any point for x and solve for y or vice-versa

When y=0,

${x}^{2} + {0}^{2} + 2x - 2(0) - 35= 0$

${x}^{2} +2x - 35= 0$

$(x - 5)(x + 7) = 0$

$x = 5 \: or \: x = - 7$

The point (5,0) and (-7,0) lies on the circle.

When x=0

${0}^{2} + {y}^{2} + 2(0) - 2y - 35= 0$

${y}^{2} - 2y - 35= 0$

$(y - 7)(y + 5) = 0$

$y = 7 \: or \: y = - 5$

The point (0,-5) and (0,7) lie on this circle.

3 0

2 years ago

Deepak randomly chooses two marbles from the bag,

Alika [10]

Green 5/15
red 2/15
that should be your answer

3 0

2 years ago

Read 2 more answers

the student council wants to raise at least $500. Students must pay $2 to attend. How many student will need to attend in order

dezoksy [38]

Answer:

250 students at a minimum must attend to meet the student council goal.

Step-by-step explanation:

divide 500 by 2. you get 250 students that pay $2 each that equals $500.

6 0

2 years ago

Read 2 more answers

Someone please help me on this I'm unsure if my answer is correct

mafiozo [28]

Answer:

A. length = 23 cm; width = 5 cm

Step-by-step explanation:

So if 4 times the width would be $4w$ and 3 more than would be $+ 3$ , the equation would be $l = 4w + 3$ . If the perimeter is 56, then the new equation, $2(4w + 3) + 2(w) = 56$ can be formed. This simplifies to $8w + 6 + 2w = 56$ , then to $10w + 6 = 56$ , then to $10w = 50$ , and finally, $w = 5$ . So the width is 5, and now plug it into the first equation.

$l = 4(5) + 3$ , becomes $l = 20 + 3$ , becomes $l = 23$ .

So the dimensions are: length = 23 cm, width = 5 cm.

*And just to be sure, $2(23 + 5) = 2(28) = 56$ which is correct.

4 0

2 years ago

Picture is shown above<br>suppose that y varies directly with x, and y=12 when x=15

a_sh-v [17]

Step-by-step explanation:

Since y is directly proportional to x,

we have y = kx, where k is a real constant.

When x = 15, y = 12.

=> (12) = k(15), k = 0.8.

Therefore we have y = 0.8x.

When x = 2, y = 0.8(2) = 1.6.

The answer is y = 1.6 when x = 2.

7 0

2 years ago

Read 2 more answers