Graph the solutions of the linear inequality −2x + 2y ≥ −4.

Answer:

The perimeter of the pentagon is;

29 units

Step-by-step explanation:

Let A, B, C, D, and E represent the vertices of the pentagon

The "x" and "y" coordinates of the vertices of the pentagon are given as follows;

A(-6, 2), B(-2, -2), C(5, -2), D(5, 2), E(-2, 5)

The length of the sides between each pair of coordinates can be found using the following formula;

[tex]l = \sqrt{\left (y_{2}-y_{1} \right )^{2}+\left (x_{2}-x_{1} \right )^{2}}[/tex]

Therefore, we have;

Length of segment AB = √((-2 - (2))² + (-2 - (-6))²) = 4·√2

Length of segment BC = √((-2 - (-2))² + (5 - (-2))²) = 7

Length of segment CD = √((5 - 5)² + (2 - (-2))²) = 4

Length of segment DE = √((5 - 2)² + (-2 - 5)²) = √58

Length of segment EA = √((5 - (2))² + (-2 - (-6))²) = 5

The length of the perimeter of the pentagon = 5+√58 + 4 + 7 + 4·√2 ≈ 29.2726273554 ≈ 29

The length of the perimeter of the pentagon ≈ 29.

Answer:

A triangle can have these three side lengths.

Answer:

b

why would you measure with something too big or too small?

Answer:

:0 according to my calculations

Step-by-step explanation:

cheese

Answer:

-2,5

Step-by-step explanation:

Answer:B

Step-by-step explanation:Got it right on edge 2020

Answer:

Ria earns 14.88 dollars each week

Step-by-step explanation:

Amount earned by peter every week = $12.40

If Ria earns 1.2 times as money per week as Peter, then;

Amount Ria earns = 1.2 * 12.40

Amount Ria earns = 14.88

Hence Ria earns 14.88 dollars each week

Answer:

$26.25

Step-by-step explanation:

We are told that Marco needs to buy some cat food. At the nearest store, 3 bags of cat food cost $15.75.  

First of all we will find cost of 1 bag of cat food by dividing 15.75 by 3.

Now we will find the amount that Marco has spend for 5 bags of cat food by multiplying 5.25 by 5.  

Therefore, Marco has spend $26.25 for purchasing 5 bags of cat food.    

Answer:

5.25 per bag

Step-by-step explanation:

Just divide the amount of money by the number of bags needed.

15.75 divided by 3 = 5.25

Answer:

72 spheres are formed

Step-by-step explanation:

We start by calculating the volume of the metallic cylinder

Mathematically, we have this as;

V = pi * r^2 * h

V = pi * 21 * 14^2

V = 4116 π cm^3

The volume of each small sphere is;

V = 4/3 * pi * r^3

= 4/3 * π * 7/2^3 = 57.167 π cm^3

To get the number of small spheres, we simply divide the volumes

That will be 4116 pi / 57.167 pi = 72

Answer:

A

Step-by-step explanation:

the answer is   -2/5 hope this helped

Answer:

K = 4/3 or 1 1/3

Step-by-step explanation:

4/3 or 1 1/3 - 2 is 2/3

2/3 times 9 is 6

Hope this helps ;)

Answer:

y = -2.5x

Step-by-step explanation:

The constant of variation = y/ x = 5/-2 = -2.5

Also -7.5 / 3 = -2.5

-10 /4 = -2.5 and so on

Hello there! ;)

1 is neither prime nor composite.

Prime numbers have 2 factors.

Composite numbers have 3 or more factors.

However, 1 has 1 factor.

Therefore, it's neither prime nor composite.

Hope this helps!

~Just a determined gal

#CarryOnLearning

[tex]MysteriousNature[/tex]

Answer:

No its not

4km =4000m < 5000m

Step-by-step explanation:

hope it helps

Answer:

5000 meter>4km

Step-by-step explanation:

4km is= 4000meter so 5000 meters i greater than 4km

Answer:

7/12 7 miles a day

Step-by-step explanation:

Answer:

Step: Solvex=4for x:

x=4

Step: Substitute4forxin2x+3y=14:

2x+3y=14

(2)(4)+3y=14

3y+8=14(Simplify both sides of the equation)

3y+8+−8=14+−8(Add -8 to both sides)

3y=6

3y

3

=

6

3

(Divide both sides by 3)

y=2

Answer:

x=4 and y=2

Step-by-step explanation:

Answer:

5) 6cm 6)J

Step-by-step explanation:

5) 30/7.5=4

24/4=6

6) J=P

K=Q

L=R

M=S

Answer:

The budget for dances is $380

Step-by-step explanation:

If we know that the ratio between student government budget for dance and charity event is 5:7 this means that there is some amount of money that fits 5 times into the student government budget for dance and 7 times into the budget for the charity events. So in order to find what is the value of that among we divide $532.00 by 7, and then multiply that amount by 5 to get the budget for the dance events. So we do........

$532.00 / 7 x 5 = $76 x 5 = $380

answer : 240

you do 24 x 10 :)

Answer:

Hi! The correct answer is (1448/3, 686)

Step-by-step explanation:

~Solve for the first variable in one of the equations, then substitute the result into the other equation~

Answer:

10

Step-by-step explanation:

To obtain the length of the segment :

a² + b² = c²

a = 8 ; b = 6

8² + 6² = c²

64 + 36 = c²

100 = c²

Square root of both sides :

Sqrt(100) = sqrt(c²)

10 = c

Mistake in the solution is that 6² = 36 and not 12

Answer:

E

Step-by-step explanation:

The statements that are not true are:

The graph has a y-intercept at (0,5) is not true.

The graph has a relative maximum point (-3,4) is not true,

The graph has zeros at x = -5 and x = -1 is not true.

Options, A, B, and E are the correct answer.

A function has an input and an output.

A function can be one-to-one or onto one.

It simply indicated the relationships between the input and the output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

- The y-intercept can be found by setting x=0, which gives f(0)=-5.

So the y-intercept is (0,-5).

- To find the relative maximum,

We need to find the vertex of the parabola.

The x-coordinate of the vertex is given by -b/2a, where a=-1 and b=-6.

So, x=3 is the x-coordinate of the vertex.

To find the y-coordinate, we plug in x=3 into the function:

f(3) = -(3²) - 6 (3) - 5 = -32.

So the vertex is (3,-32), which is a relative minimum, not a maximum.

- To find the x-intercepts,

We set y  =0 and solve for x.

-x² - 6x - 5 = 0.

Factoring or using the quadratic formula,

We get x = -5 and x = -1.

- The y-axis is a line of symmetry for any parabola of form f(x)=ax²,

f(-x) = a (-x)² = ax² = f(x).

- To find the zeros,

We set f(x) = 0 and solve for x.

-x² - 6x - 5 = 0.

Factoring or using the quadratic formula,

We get x = -5 and x = -1.

So the graph has zeros at x = -5 and x = -1, not x = -2 and x = 3.

- The graph represents the function f(x) = -x2 - 6x - 5.

The graph is true.

Thus,

The graph has a y-intercept at (0,5) is not true.

The graph has a relative maximum point (-3,4) is not true,

The graph has zeros at x = -5 and x = -1 is not true.

Learn more about functions here:

https://brainly.com/question/28533782

#SPJ2

Answer:

c(0) = 24*0 = 0  

c(8) = 24*8 = 192  

Your range is [0,192]

Step-by-step explanation:

Answer:

You have 8 cups of flour it takes 1 cup of flour to make 24 cookies the function c(f)=24f

c represents the number of cookies

f represents the cups of flour

You have 8 cups of  flour, we can use only 0 to 8 cups of flour.

so domain f is 0 to 8 cups [0,8]

Now we find the range

1 cup of flour to make 24 cookies

So 8 cups of flour = 24* 8 = 192 cookies

using 8 cups you can make 192 cookies

So number of cookies is from 0 to 192

Range is [0,192

Step-by-step explanation:

Answer:

m= - 1/4

Step-by-step explanation:

A. It will be twice as much as because the height is increased by 2