Suppose a line segment whose endpoints are T(x 1 ,y 1 ) and U(x 2 ,y 2 ) is reflected over y=x to create T’U’. The coordinates of the image are T’(-4,3) an U’(1,7). What are the values of x 1 x 2 y 1 and y 2?

Answer:

false, it's the opposite so its doesn't have the same amount, negative or positive.

True.

The absolute value of opposite numbers is the same as the number because the absolute value is always positive.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Number = x

The opposite of x is -x.

Now,

The absolute value of -x.

= |-x|

= x

We are getting the number back.

Thus,

The absolute value of opposite numbers is the same as the number.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ2

Answer:

QT = 45

Step-by-step explanation:

ST = 65

SP = 26

RQ = 30

QT = 4x - 3

Given that ∆STR is similar to ∆PTQ, therefore:

[tex] \frac{ST}{PT} = \frac{RT}{QT} [/tex]

Plug in the values

[tex] \frac{65}{65 - 26} = \frac{30 + (4x - 3)}{4x - 3} [/tex]

Solve for x

[tex] \frac{65}{39} = \frac{30 + 4x - 3)}{4x - 3} [/tex]

[tex] \frac{5}{3} = \frac{27 + 4x}{4x - 3} [/tex]

Cross multiply

[tex] 5(4x - 3) = 3(27 + 4x) [/tex]

[tex] 20x - 15 = 81 + 12x [/tex]

Collect like terms

[tex] 20x - 12x = 81 + 15 [/tex]

[tex] 8x = 96 [/tex]

Divide both sides by 8

[tex] x = \frac{96}{8} [/tex]

[tex] x = 12 [/tex]

✅QT = 4x - 3

Plug in the value of x

QT = 4(12) - 3 = 48 - 3

QT = 45

Answer:

table B represents the linear equation which is:

[tex]y=-3x+11[/tex]

The graph of the linear function is also attached below.

Step-by-step explanation:

Given the table B values

x               y

0              11

1               8

2               5

3               2

As the equation for the linear function

[tex]y=mx+b[/tex]

where m is the slope and b is the y-intercept

As the y-intercept can be obtained by setting x=0

From the table, it is clear that when the value of x=0, then the value of

y=11.

so (0, 11) is the y-intercept.

Also taking two points (0, 11) and (1, 8) to find the slope

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(0,\:11\right),\:\left(x_2,\:y_2\right)=\left(1,\:8\right)[/tex]

[tex]m=\frac{8-11}{1-0}[/tex]

[tex]m=-3[/tex]

so substituting the value m=-3 and the point (1, 8) in the point-slope form

[tex]y-y_1=m\left(x-x_1\right)[/tex]

[tex]y-8=-3\left(x-1\right)[/tex]

[tex]y-8=-3x+3[/tex]

[tex]y=-3x+3+8[/tex]

[tex]y=-3x+11[/tex]

comparing the equation with the slope-intercept form of linear equation

[tex]y=mx+b[/tex]

[tex]y=-3x+11[/tex]

here

Therefore, table B represents the linear equation which is:

[tex]y=-3x+11[/tex]

The graph of the linear function is also attached below.

Answer:

B

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer:

The answer choice is D.4-10i

Answer:

D 4 - 10i

Step-by-step explanation:

Answer:

37

Step-by-step explanation:

use inverse operations to solve ,

16 - 11 = g

g = 5

if g = 5 then , 5 times 5 is 25 , add 12 to 25 and get 37

*please name brainliest if you can :)

The value of the expression 5g + 12 is 37, when g equals 5.

An equation is written in the form of variables and constants separated by the operation of multiplication and division,

An equation states that terms in different forms on both sides of the equality sign are equal.

Multiplication and division do not separate the terms of an equation.

Substitution in mathematics is when we replace some specific numerical values to variables according to our wants or given in the problem.

Given A equation g + 11 = 16.

g = 16 - 11.

g = 5.

Now, 5g + 12

= 5×5 + 12.

= 25 + 12.

= 37.

learn more about equations here :

https://brainly.com/question/10413253

#SPJ2

Answer:

28

Step-by-step explanation:

4*7=28

Mark me as brainliest

Answer:

LCM of 4 and 7 = 28

hope you understood!

Answer:

(X+12)^2 -18-(24/2)^2

(X+12)^2 -18-144

(X+12)^2-162

Your answer is 1.

Step-by-step explanation:

Answer:um hold on

Step-by-step explanation:

Answer:

The answer is attached!

Step-by-step explanation:

But, to find the relative frequencies you will have to find the total number of responses, which is 143.

Then you will go to each box and divide the number given by the total number of response. I will show you each box below:

[tex]\frac{62}{143} = .43\\\\\frac{32}{143} = .22\\\\\frac{29}{143} = .20\\\\\frac{20}{143} = .14[/tex]

(Note here that all these add up to exactly 1 when you don't round them, but I rounded them and they add up to .99)

Hope this helps!!

- Kay :)

Answer:

x = 10.

Step-by-step explanation:

The longest side , the hypotenuse = x + 3 because the lengths of the sides  are positive.

So, by Pythagoras:

(x + 3)^2 = (x - 5)^2 + (x + 2)^2

x^2 + 6x + 9 = x^2 - 10x + 25 + x^2 + 4x + 4

0 = 2x^2 - x^2 - 10x + 4x - 6x + 29 - 9

x^2 - 12x + 20 = 0

(x - 10)(x - 2) = 0

x = 2, 10.

x cannot be 2 because that would make one side =  2- 5 = -3 so the answer is x = 10.

Answer:

EH

Step-by-step explanation:

Skew lines are lines that do not intersect (touch) or are parallel!

A line segment skew to AB is EF. Therefore, option EF is the correct answer.

We need to identify a segment skew to AB.

Skew lines are a pair of lines that are non-intersecting, non-parallel, and non-coplanar. This implies that skew lines can never intersect and are not parallel to each other. For lines to exist in two dimensions or in the same plane, they can either be intersecting or parallel.

From the given figure, line EF is skew line to AB.

A line segment skew to AB is EF. Therefore, option EF is the correct answer.

To learn more about the skew lines visit:

https://brainly.com/question/1995934.

#SPJ2

Answer:

b=6

Step-by-step explanation:

x=6

6+-2=4

2(6)+3(-2)=b

2x6=12

3x-2= -6

12+ -6+=6

b=6

Answer: 25%

Step-by-step explanation:

Since there are 4 x's one x = 25%

Answer:

1.061

Step-by-step explanation:

not really sure if this is what you're looking for

Answer: the intercept is love , the slope is you , dotted or solid is <3

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

You meant like this?

Answer:

60

Step-by-step explanation:

I hope this helps!

Answer:

1 1/3

Step-by-step explanation:

We simplify it into 3 1/6 - 1 5/6.

Since 5 cannot subtract from 1, we convert 3 1/6 into 2 7/6 because it is equivalent to 3 1/6, and subtract 1 5/6 from that fraction to get 1 1/3.

Answer:

x=7

Step-by-step explanation:

We want to get the variable "x" alone to get our answer. So.

1. combine like terms

x+x+2+3x-6=31

like terms in equation: (left side)

x, x, 3x= 5x       (equation: x+x+3x)

2, -6= -4             (equation: 2-6)

so, this is what the equation would look like with our new answers:

5x-4=31

2. add 4 to both sides

5x-4+4=31+4

(on left side of equation, the -4 and +4 cancel each other out, leaving the 5x alone)

5x=35

3. divide 5 from both sides, to get the "x" alone

5x/5=35/5

so, our answer would be:

x=7

I hope this was helpful :)

Answer:

your answer is going to be :

Step-by-step explanation:

C. 3.5x + 4y ≤ 45, 0 ≤ y ≤ 11.25

Answer:

c

Step-by-step explanation:

You need to to put every number of x in x of each equation

Answer: 702

Step-by-step explanation:

234 • 3 = 702

702

Step-by-step explanation:

If you triple 234, you get 702. In other words you do 234x3.

Answer:

x = 11

Step-by-step explanation:

16x = 176 is the problem

You bring the 16 over the the other side.

The equation changed.

x = 176 ? 16. You don't no the operation.

If the other side is number + variable,

it equals to division cause division is

the reverse operation.

That means, the equation changes again!

x = 176/16 Its easier to reduce cause its a

2+ number one.

176/16 reduced is 11

Answer:

the answer is 9/16 I hope this doesn't require step by step solve

Answer:

Step-by-step explanation:

x - 2 x 2 = 8

x times 2 = 8

x = 4

Given:

[tex]z=5-9i[/tex]

[tex]w=6+i[/tex]

To find:

The expression that shows the first step in finding the quotient of [tex]\dfrac{z}{w}[/tex].

Solution:

According to the question,

[tex]\dfrac{z}{w}=\dfrac{5-9i}{6+i}[/tex]

First, we need to multiply and divide the conjugate of denominator, i.e., 6-i, to find the quotient.

[tex]\dfrac{z}{w}=\dfrac{5-9i}{6+i}\times \dfrac{6-i}{6-i}[/tex]

Therefore, the correct option is A.

Answer:

the answer is a

Step-by-step explanation:

edge 2020

Answer:

the answer is 20

Answer:

$0.50

Step-by-step explanation:

This is a simple equation. All you need to do is divide 18 by 36.

18/36 = 0.5

Answer:

$0.5

(50 cents)

Step-by-step explanation:

Just divide how much it costs (18) by the number of items bought (36) and you'll find how much it costs per-item.

$18 ÷ 36 = $0.5

So $0.5 (50 cents) is your answer.

Hope this helps and have a nice day!

Answer:

x={2,3}

Step-by-step explanation:

√5x-6=x

5x-6=x^2

x^2-5x+6=0

x^2-3x-2x+6=0

(x^2-3x)-(2x-6)=0

x(x-3)-2(x-3)=0

(x-2)*(x-3)=0

x-2=0

x=2

x-3=0

x=3