1) The endpoints of FCare (-2,-4 and G(1,0). Find the length of FG-

Here we need to see which axioms or properties are used in each case.

A: ab²×0 = 0

Here we have a given number (ab²) times zero, and the outcome is zero. This comes from the existence of zero, which states that there must exist a value that represents nothingness, the zero, such that the product between any number and this one is zero.

B: (7 + 5) + 1 = 7 + (5 + 1)

This is the associative property of addition, which says that we can perform the addition in any order we want.

C:  6 = 6

This is the reflexive property of equality, which says that every number is equal to itself.

D: 7(x – 3) = 7x - 21

This is the distributive property, which says that:

C*(A + B) = C*A + C*B

We can see that if we apply it to the left side we get:

7(x - 3)  = 7x - 7*3 = 7x - 21

E:  x + (-x) = 0

This is the existence of the opposite number. This property says that for any real number N there exists a real number A such that:

N + A  = 0

Particularly, in the real set, we can see that A = -N

G: (a + b) + 0 = 0 + (a + b)

Here we can see that the order changes in the addition, this is the commutative property of the addition, which says that:

A + B = B + A

So the elements in the sum can commute.

H: if x = -1, and -1 = z, then x = z

This is the transitive property, we can apply it in the next way:

x = -1 = z

then x = z

So if both variables are equal to the same number, then the variables are equal.

I: 4x×1 = 4x

This is the existence of the identity with respect to multiplication. It says that there exist a number A such that for any number X, the product between A and X is equal to X:

X*A  =X

Particularly, A = 1.

X*1 = X.

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Answer:

Step-by-step explanation: I also need help

Answer: (5,3)

Step-by-step explanation:

A 180 degree rotation will take you to sector b which is (+,+), so I knew it was going to be positive.

Answer:

vsddddddddddddddddddddddddddddddddddddddddddddddddddddddbgtresxvzjdhdf;lsjb

Step-by-step explanation:

Answer:

Step-by-step explanation:

Temperature at 5 am = -7° F

Temperature at 9 am = 4° F

Temperature at 11 am =4 + 3.5 * 4 = 4 +  14 = 18° F

Total increase = 18 - (-4) = 18 + 4 = 22° F

y= 3x –4

3x + y = –4

3x + (3x –4) = –4

3x+3x – 4 = – 4

6x = – 4 +4

6x=0 —> x= 0/6 —> x=0

y = 3x – 4 —> y = 3(0) – 4 = – 4

I hope I helped you^_^

Answer:

(0,-4)

Step-by-step explanation:

3x + y = -4

3x + (3x - 4) = -4

3x + 3x - 4 = -4

6x = 0

x = 0

y = 3(0) - 4

y = -4

The expression for the total number of blocks is b³

This question seems to be incomplete. Here is the complete question :

A toy manufacturer produces a set of blocks that can be used by children to build play structures. The product packaging team is analyzing different arrangements for packaging their blocks. One idea they have is to arrange the blocks in the shape of a cube, with b blocks along one edge.

Write an expression representing the total number of blocks packaged in a cube measuring b blocks on one edge.

A cube is a 3-dimensional object that has six faces.

Characteristics of a cube

Volume of a cube = a³

Where a = length of a side

The expression that would be given is the volume of a cube. Since the length of the edge is b, the expression would be b³

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Answer and Step-by-step explanation:

-2 is the correct answer.

But, you should set up your number line like this:

 -6                       4

<-|-----------|----------|->

              -2

4 - 6 = -2

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I hope this helps!

Step-by-step explanation:

This equations are quadratic equations, which is on standard form,

[tex] {ax}^{2} + bx + c[/tex]

where a is the leading coefficient, b is the second coefficient, and c is the constant.

Both a and b are in quadratic equation so we need to find the constant separately.

Both sides are equal to zero so we can just subtract the terms not containing a or b in them to the opposite side.

[tex] {x}^{2} - 4 x + a = 0[/tex]

[tex] {x}^{2} + a = 4x[/tex]

[tex]a = - {x}^{2} + 4x[/tex]

For b,

[tex]2 {x}^{2} - 6x + b + 7 = 0[/tex]

[tex] - 6x + b + 7 = - 2 {x}^{2} [/tex]

[tex]b + 7 = - 2 {x}^{2} + 6x[/tex]

[tex]b = - 2 {x}^{2} + 6x - 7[/tex]

I HOPE IT WILL HELP YOU.

Have a great day ahead.

Answer:

408

Step-by-step explanation:

Surface area formula is A=2(wl+hl+hw)

Substituting these values into the formula you would get

2·(3·8+4·8+4·3)=136

136 accounts for one rectangular prism.

Since you have 3 multiply 136 by 3 which would leave you with 408

Answer:

280 in²

Step-by-step explanation:

The opposite faces are congruent , then surface area (SA ) is

SA = top/ base + front/ back + 2 sides

note for the front/ back and 2 sides we have 3 + 3 + 3 = 9 in

   SA  = 2(8 × 4) + 2(8 × 9) + 2(4 × 9)

         = 2 × 32 + 2 × 72 + 2 × 36

        = 64 + 144 + 72

      = 280 in²

Answer:

slope = - 6, y- intercept = 5

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

0 = 2x - [tex]\frac{5}{3}[/tex] + [tex]\frac{1}{3}[/tex] y ( multiply through by 3 to clear the fractions )

0 = 6x - 5 + y ( subtract 6x - 5 from both sides )

- 6x + 5 = y , that is

y = - 6x + 5 ← in slope- intercept form

with slope m = - 6 and y- intercept c = 5

Answer:

1

Step-by-step explanation:

A rational number between 3.623623 and 0.484848 is 1.

Answer:

Remember: rational numbers are numbers that can be written as fractions and decimals that either terminate or repeat. Here are some rational numbers:

0.5, 3/4, 1, 1.5...3, 3.5

Step-by-step explanation:

BRAINLIEST, PLEASE!

Answer: A

Step-by-step explanation:

Answer:

-6 < x < 6

Step-by-step explanation:

Domain refers to the list of all x-values included in the function. In this instance, the list of x-values in this function is between -6 and 6.

Answer:

7/8

Step-by-step explanation:

1/4 + 5/8 = 2/8 + 5/8 = 7/8

= amount used for pepper and tomatoes

2 1/2 - 3/4 = 5/2-3/4 = 10/4 -3/4 = 7/4

= total amount used

so

7/4 - 7/8 = 14/8 - 7/8 = 7/8 for lettuce

9514 1404 393

Answer:

Step-by-step explanation:

The x-axis is a horizontal line. As such, it has a slope of zero. The equation of a horizontal line is ...

  y = constant

__

For the line through (-5, 4), the constant must match the y-coordinate: 4. The equation is ...

  y = 4

As we said above, the slope of that horizontal line is zero.

The perpendicular line will be a vertical line of the form x=constant. The slope of a vertical line is undefined.

Answer:

165/14

Step-by-step explanation:

(7-4) + 17 / -14 + 2 x 5

3 + 17/-14 + 2 x 5

3 - 17/14 + 2 x 5

3 - 17/14 + 10

165/14

Answer:

Step-by-step explanation:

[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]

AB is not a ray. It has two endpoints.

"It is a part of a line that has a fixed starting point but no end point."

For given example,

We have been given a part of a line AB.

The starting point is A and the end point is B.

We know, one of the end of the ray is denoted by arrow.

Since both the ends of given figure are fixed, it is not ray.

AB is called as line segment.

Therefore, AB is not a ray. It has two endpoints.

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#SPJ2

Answer:

gien

Step-by-step explanation:

Answer:

any file to have a reference?

The aspect ratio of a Television is the ratio of the width to the height of the television.

The size of a TV is calculated using Pythagoras theorem. Assume the length ratio of the new 50-inch 16:9 TV is x.

The ratio is represented as:

[tex]Width : Height = 16 : 9[/tex]

Using Pythagoras theorem, we have:

[tex](16x)^2 + (9x)^2 = 50^2[/tex]

[tex]256x^2 + 81x^2 = 2500[/tex]

[tex]337x^2 = 2500[/tex]

Divide both sides by 337

[tex]x^2 = 7.42[/tex]

Take square roots of both sides

[tex]x = \sqrt{7.42[/tex]

[tex]x = 2.72[/tex]

So, the width of the image is:

[tex]Width = 16x[/tex]

[tex]Width = 16 \times 2.72[/tex]

[tex]Width = 43.52[/tex]

The height of the image is then calculated as:

[tex]Height = 9x[/tex]

[tex]Height = 9 \times 2.72[/tex]

[tex]Height = 24.48[/tex]

The height of the image is 24.48 inches

The height of each black bar is calculated as follows:

[tex]Width : Height = 1.85 : 1[/tex]

Express as fraction

[tex]\frac{Height}{Width}= \frac{1}{1.85}[/tex]

Make Height the subject

[tex]Height = \frac{1}{1.85}\times Width[/tex]

Substitute [tex]Width = 43.52[/tex]

[tex]Height = \frac{1}{1.85}\times 43.52[/tex]

[tex]Height = 23.52[/tex]

The height of each black bar is 23.52 inches

Lastly, the percentage of the screen’s area that is occupied by the image

First, we calculate the area of the bars

[tex]A_1 = Height \times Width[/tex]

Where:

[tex]Height = 23.52[/tex] and [tex]Width = 43.52[/tex]

So:

[tex]A_1 = 23.52 \times 43.52[/tex]

[tex]A_1 = 1023.59[/tex]

Next, calculate the area of the 50-inch TV

[tex]A_2 = Height \times Width[/tex]

Where

[tex]Width = 43.52[/tex] and [tex]Height = 24.48[/tex]

So:

[tex]A_2 = 24.48 \times 43.52[/tex]

[tex]A_2 = 1065.37[/tex]

So, the percentage occupied on the screen area is:

[tex]\% Screen = \frac{A_1}{A_2} \times 100\%[/tex]

[tex]\% Screen = \frac{1023.59}{1065.37} \times 100\%[/tex]

[tex]\% Screen = \frac{102359}{1065.37} \%[/tex]

[tex]\% Screen = 96.08 \%[/tex]

Hence, the percentage of the screen area occupied is 96.08%

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komhnyrtgfdedavfbfsfb

Answer:

Let the other number be

′

x

′

Given:LCM+HCF=600

⇒14HCF+HCF=600

⇒15HCF=600

⇒HCF=40

⇒LCM=14×40=560

Since HCFxLCM=Product of 2 numbers

=>40×560 = 280×x

⇒x=

280

40×560

⇒x=40×2

⇒x=80

hence the other number is 80.

Answer:

don't know sorry forgive me

Answer:

Just study and pay attention in class and take good notes. I would say that you should pay more attention when they teach you the trigonometry unit.

Answer and Step-by-step explanation:

To simplify, distribute the negative number.

-(11 + 2b)

-11 - 2b is the answer.

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I hope this helps!

Answer:

-11 -2b

Step-by-step explanation:

-(11+2b)

Distribute the minus sign

-11 -2b

Answer: a =  - 1/5 or a = -0.2

Step-by-step explanation:

-9a – 10 – 6a + 7 = 0

>> -9a-6a = 10-7

>> -15a = 3

>> -15a/ - 15 =3 / - 15 ( divide by -15 both side)

>> a = - 1/5 or -0.2

Answer:

(2-5i)(p+q)

p=2

q=5i

(2-5i)(2+5i)

a²-b²=(a+b)(a-b)

2²-(5i)²

4-(5i)²

i²=-1

4+25=29

answer 29