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3 years ago

Determine whether each point is a solution of the linear inequality.

Mathematics

1 answer:

-BARSIC- [3]3 years ago

4 0

Given:

The inequality is

$y\leq 2x-3$

The point is (2,-2).

To find:

Whether the given point is a solution of the given linear inequality or not.

Solution:

If the given point satisfy the given inequality, then it is a solution of the linear inequality.

We have,

$y\leq 2x-3$

To check the point (2,-2), substitute x=2 and y=-2 in the above equality.

$-2\leq 2(2)-3$

$-2\leq 4-3$

$-2\leq 1$

We know that -2 is less than 1. So, the statement $-2\leq 1$ is true. It means the point (2,-2) satisfy the given inequality.

Therefore, yes, the point (2,-2) is a solution of the linear inequality and the correct option is b.

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Find the radius of a circle, given that the center is at (3,-3) and the point (7,6) lies on the circle.

Alenkasestr [34]

Answer:

$\large\boxed{radius=\sqrt{97}}$

Step-by-step explanation:

The radius is the distance between the center and any point on the circle.

The formula of a distance between two points:

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

We have the center (3, -3) and other point on the circle (7, 6).

Substitute:

$r=\sqrt{(6-(-3))^2+(7-3)^2}=\sqrt{9^2+4^2}=\sqrt{81+16}=\sqrt{97}$

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3 years ago

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A group of student has 20 Male and 10 females what is the ratio of female-to-male

Nitella [24]

Answer:

The ratio of female-to-male is 1:2

Step-by-step explanation:

There are 10 female students and 20 male students. If we were to divide each number by 10, we would get 1 and 2, respectively. That means for every 1 female student, there are 2 male students. The ratio would then be 1:2.

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4 years ago

Solving one to two step equations . algebra 1 .

frozen [14]

Answer:

1.) k = 5

2.) n = -20

3.) p = -13

4.) m = -450

5.) b = -38

6.) n = -24

7.) x = 21

8.) x = 12

9.) b = -2

10.) b = 5

Step-by-step explanation:

To solve all equations, do the reciprocal, or opposite of what is being done. For example, if a number and a variable are being multiplied, you would divide by the number to solve.

1.) 55 = 11k

(11 and k are being multiplied, so you would divide)

Divide by 11 on both sides:

55 = 11k

/11 /11

5 = k

2.) Add 15 on both sides:

n - 15 = -35

+15 +15

n = -20

3.) Divide by -6 on both sides:

78 = -6p

/-6 /-6

-13 = p

4.) Multiply by 18 on both sides:

m/18 = -25

18(m/18) = (-25)18

m = -450

5.) Add 20 on both sides:

18 = -20 - b

+20 +20

38 = -b

Divide by -1 on both sides:

38 = -b

/-1 /-1

-38 = b

6.) Subtract 12 on both sides:

12 + n/4 = 6

-12 -12

n/4 = -6

Multiply by 4 on both sides:

4(n/4) = (-6)4

n = -24

7.) Multiply by 2 on both sides:

2(-7 + x/2) = (7)2

-7 + x = 14

Add 7 on both sides:

-7 + x = 14

+7 +7

x = 21

8.) Subtract 2 on both sides:

-4x + 2 = -22

-2 -2

-4x = -24

Divide by -4 on both sides:

-4x = -24

/-4 /-4

x = 12

9.) Add 9 on both sides:

7 = -8b - 9

+9 +9

16 = -8b

Divide by -8 on both sides:

16 = -8b

/-8 /-8

-2 = b

10.) Multiply by -3 on both sides:

-3(b - 14/-3) = (3)-3

b - 14 = -9

Add 14 on both sides:

b - 14 = -9

+14 +14

b = 5

3 0

4 years ago

What is the square or square root of 6 willing to give 24 points

evablogger [386]

There is no square root of 6 all you have to do is set up a square root box and put the 6 in it then you split it into factors next you put them in another square root box finally multiply, then you get your simplest form.

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3 years ago

The area of rectangle is ( 30x²y + 20xy ) cm² and its breadth is 10xy cm .Find its length.

emmasim [6.3K]

Step-by-step explanation:

1) The area of rectangle is ( 30x²y + 20xy ) cm² and its breadth is 10xy cm .Find its length....

= Solution ,

Length ( L ) = ?

breadth ( b ) = 10xy cm

area ( a ) = ( 30x² + 20xy )

Now ,

area ( a ) = l × b