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3 years ago

Which number is an integer?

Mathematics

2 answers:

vekshin13 years ago

4 0

Answer:

C 2

Step-by-step explanation:

Alexxandr [17]3 years ago

3 0

Answer:

The answer is C, 2.

Step-by-step explanation:

An integer is any whole number.

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What is the equation, in slope-intercept form, of the perpendicular bisector of the given line segment?

frosja888 [35]

Complete Question:

The given line segment has a midpoint at (3, 1). On a coordinate plane, a line goes through (2, 4), (3, 1), and (4, -2).

What is the equation, in slope-intercept form, of the perpendicular bisector of the given line segment?

Answer:

$y = \frac{1}{3}x$

Step-by-step explanation:

From the question, we understand that the line goes through $(2, 4), (3, 1), and\ (4, -2).$

First, we calculate the slope of the above points

$m = \frac{y_2 - y_1}{x_2 - x_1}$

Where

$(x_1,y_1) = (2,4)$

$(x_2,y_2) = (3,1)$

$m = \frac{1 - 4}{3 - 2}$

$m = \frac{-3}{1}$

$m = -3$

Also; from the question, we understand that the line segment is perpendicular to the above points.

This slope (m2) of the line segment is calculated as:

$m_2 = -\frac{1}{m}$

Substitute -3 for m

$m_2 = -\frac{1}{-3}$

$m_2 = \frac{1}{3}$

Lastly, we calculate the equation of the line using:

$y - y_1 = m_2(x - x_1)$

The line segment has a midpoint at (3, 1)

So:

$y - 1 = \frac{1}{3}(x - 3)$

Open bracket

$y - 1 = \frac{1}{3}x - 1$

Add 1 to both sides

$y - 1 +1= \frac{1}{3}x - 1+1$

$y = \frac{1}{3}x$

Hence, the equation of the line segment is: $y = \frac{1}{3}x$

7 0

3 years ago

Read 2 more answers

3 to the 2 power times 5 to the 3 times 8 divided by 3 times 5 to the 3 times 8

IceJOKER [234]

Answer:

Step-by-step explanation:

First condense all the numbers with exponents:

3² x 5³x 8 divided by 3 x 5³ x 8

27 x 125 x 8 divided by 3 x 27 x 8

Then multiply 27 , 125 ,and 8

27 x 125 x 8 =27000

Then multiply 3, 27 ,and 8

3 x 27 x 8 = 648

Then divide 27000 by 648

27000 / 648 = 41.6666666667

Which rounds to about: 42

3 0

4 years ago

X + 1 > -5( 7-2x) I need help please.

Ede4ka [16]

Answer:

x<4

Step-by-step explanation:

$x + 1 > -5( 7-2x) \\\\\mathrm{Expand\:}-5\left(7-2x\right):\quad -35+10x\\x+1>-35+10x\\\\\mathrm{Subtract\:}1\mathrm{\:from\:both\:sides}\\x+1-1>-35+10x-1\\\\Simplify\\x>10x-36\\\\\mathrm{Subtract\:}10x\mathrm{\:from\:both\:sides}\\x-10x>10x-36-10x\\Simplify\\-9x>-36\\\\\mathrm{Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right)}\\\left(-9x\right)\left(-1\right)$

$\mathrm{Divide\:both\:sides\:by\:}9\\\frac{9x}{9}$

5 0

3 years ago

Plz help plzzzzzzzzz

chubhunter [2.5K]

Answer:

47.13cm

Step-by-step explanation:

2×3.142×7.5cm

6 0

4 years ago

Read 2 more answers

HELP PLEASE! Will give the Brainliest if shown work!!

scZoUnD [109]

Answer:

$\large\boxed{Q1.\ A_{\triangle PQR}=90\ cm^2}\\\\\boxed{Q2.\ V\approx321\ m^3}$

Step-by-step explanation:

$Q1.\\\\\text{If}\ \triangle ABC\sim\triangle PQR\ \text{then the quotient of the areas is equal}\\\text{the square of the similarity scale}\ k.\\\\\text{The sides}\ AB\ \text{and}\ QP\ \text{are corresponding}.\ \text{Calculate the scale:}\\\\k=\dfrac{4}{6}=\dfrac{4:2}{6:2}=\dfrac{2}{3}\\\\\text{The area of }\ \triangle ABC=40\ cm^2.\\\\\text{Let the area of}\ \triangle PQR=x,\ \text{then}\\\\\dfrac{40}{x}=\left(\dfrac{2}{3}\right)^2\\\\\dfrac{40}{x}=\dfrac{4}{9}\qquad\text{cross multiply}\\\\4x=(9)(40)\qquad\text{divide both sides by 4}\\\\x=(9)(10)\\\\x=90\ cm^2$

$Q2.\\\\\text{The formula of a volume of a sphere:}\\\\V=\dfrac{4}{3}\pi R^3\\\\R-radius\\\\\text{We have the diameter}\ 2R=8.5\ m\to R=\dfrac{8.5}{2}\ m=4.25\ m.\\\\\text{Substitute:}\\\\V=\dfrac{4}{3}\pi(4.25)^3=\dfrac{4}{3}\pi(76.765625)=(4)(25.588541)\pi=102.354164\pi\\\\\pi\approx3.14\\\\V=(102.354164)(3.14)\approx321\ m^3$

8 0

3 years ago

Read 2 more answers

Which number is an integer? ​

Which number is an integer?