A scale drawing of an office space uses a scale of 1 in. : 6 yd. The scale drawing has an area of 5 square inches. What is the area of the actual office space?

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Answer:

The coordinates of the midpoint of LB are (1, 3.5)

Step-by-step explanation:

The rule of the midpoint of a segment its endpoints are (x1, y1) and (x2, y2) is [tex]M=(\frac{x1+x2}{2},\frac{y1+y2}{2})[/tex]

Let us use this rule to solve the question

∵ M is the midpoint of segment LB

∵ The coordinates of point L are (8, 5)

∴ x1 = 8 and y1 = 5

∵ The coordinates of point B are (-6, 2)

∴ x2 = -6 and y2 = 2

→ Substitute these values in the rule of the mid point above

∵ [tex]M=(\frac{8+-6}{2},\frac{5+2}{2})[/tex]

→ Remember (+)(-) = (-)

∴ [tex]M=(\frac{8-6}{2},\frac{7}{2})[/tex]

∴ [tex]M=(\frac{2}{2},\frac{7}{2})[/tex]

∴ M = (1, 3.5)

∴ The coordinates of the midpoint of LB are (1, 3.5)

Answer:

No, 6+3=9 is not an equation.

Step-by-step explanation:

The reason as to why this is not an equation is because an equation is a statement that asserts the equality of two expressions, which are connected by the equal sign. And 6+3=9 does not in fact connect two separate expressions.

Answer: sure

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

ok so I just got an email from my school saying that you need to do half the semester in ONE WEEK and I'm like, why you didn't need to do this. And also my parents are expecting me to do it ALL IN 2 DAYS AND GET AN A honestly I am very sad I am actually doing an assignment right now lol.

Answer:

false

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

2*10 = 20

So your equation would look like this:

20 = 2*10^3

10 to the third power is 1000

1000*2 = 2000

2000 is not equal to 20

Hope I helped :)

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Answer:

(x)^2+(5)^2=(9)^2

Step-by-step explanation:

(a)^2+(b)^2=(c)^2

(x)^2+(5)^2=(9)^2

x^2+25=81

-25 -25

x^2=56

x=28

p.s. this ^2 means squared

Answer:

Step-by-step explanation:

Answer: rotation of 180' clockwise about the origin and then dilation with a scale factor of -1, centered at the origin

Step-by-step explanation:

Two triangles are congruent if all the corresponding angles are equal, and if the corresponding side lengths are equal.

Now, this means that if we have a given triangle, and we apply a dilation/contraction, then the resultant triangle will have different side lengths than the initial triangle, then those two triangles can not be congruent.

So we can already discard all the options with dilations.

Now, remember how the dilation works.

If we have a point that is at a distance L of the origin, and we do a dilation of scale factor K centered at the origin, then the new distance of the point and the origin will be K*L.

Notice that if the scale factor is equal to 1, then there is no change.

In the options, we have one where the scale factor is -1.

The minus sign means that will cause the enlargement to appear on the other side of the center of enlargement. But the scale factor still is of absolute value 1, so it will not change anything.

Then the only option that not dilates the triangle is:

Rotation of 180' clockwise about the origin and then dilation with a scale factor of -1, centered at the origin

So this is the only transformation that results in a figure congruent to the triangle ABC

Answer:

Step-by-step explanation:

Actually its

Andy spends $ 13.20

Emily will spend 23.40

HOPE IT HELPS!!!!!!!!!!

Answer:

x=5i√2,−5i√2

Tap to view steps...

Step-by-step explanation:

math, way, . , com

I wrote out the answers on top of the sheet. Hope this helped!

Answer:

is the 3x a expression ill comment the awnser if is

Step-by-step explanation:

Answer:

Sarah wrote 4 songs

Ronnie wrote 10 songs

Paul wrote 8 songs

Step-by-step explanation:

Answer:

y-9=6(x+1)

Step-by-step explanation:

Answer:

I got 1/125

Step-by-step explanation:

9514 1404 393

Answer:

  B, C, G, H, L, M

Step-by-step explanation:

The points with a negative x-coordinate are the points that are to the left of the y-axis. They are ...

  B, C, G, H, L, M

Answer:

First one: y-intercept = 1

ordered pair: (0,1)

Second one: y-intercept = -1

ordered pair: (0,-1)

Third one: y-intercept = 4

ordered pair: (0,4)

Answer:

1. y=1, (0,1)

2. y=-1, (0,-1)

3. y=4, (0,4)

Step-by-step explanation:

The y-intercept is the line crossing the y-axis

(0, number here that cross y-axis)

1. y=1, (0,1)

2. y=-1, (0,-1)

3. y=4, (0,4)

Answer:

see below

Step-by-step explanation:

a)  median : re-arranged the numbers in order. i.e. min to max

gold:          147 , 147 , 175 , 206 , 212 , 227 , 263 , 275 , 440 , 1022

                 212  + 227    =  219.50

                        2

silver:       147 , 163 , 165 , 170 , 178 , 241 , 295 , 313 , 357 , 794

                178 + 241     =  209.50

                       2

bronze:    151 , 169 , 179 , 187 , 193 , 260 , 289 , 325 , 349 , 704

                193  +  260  =  226.50

                        2

b)  mean : sum of all numbers divide by n, where n=10  

gold:        =   (147 , 147 , 175 , 206 , 212 , 227 , 263 , 275 , 440 , 1022 ) / 10

               =  311.40

silver:      =   (147 , 163 , 165 , 170 , 178 , 241 , 295 , 313 , 357 , 794 ) / 10

              =  282.30

bronze:   =  (151 , 169 , 179 , 187 , 193 , 260 , 289 , 325 , 349 , 704 ) / 10

               =  280.60

c) standard deviation on population (STDEV.P)

Australia          = 16.44

china               = 33.03

france              = 19.74

germany          = 30.21

great britain    = 13.89

hungary           = 12.04

italy                  = 11.44

soviet union    = 48.46

sweden           = 13.47

united states   = 133.84

Answer:

2.2

..................

120/55

Answer: -8x + 12

Step-by-step explanation:

12 will be y-intercept because it crosses the y-axis.

-8 will be slope because it is the rate of change.

Answer:

please find the solution:

Step-by-step explanation:

please find the correct question:

Given value:  

[tex]\to 4x \equiv 2(mod\ n) \ \ \ \ \ \ \ \ \ \ \ \ _{where} \ \ n=6\\\\\to 4x \equiv 2 (mod 6)[/tex]

[tex]\to 4x-2[/tex] should be divisible by 6  we are also given that [tex]0 \leq x < n[/tex]  and start with x = 0  

[tex]\to 4x-2[/tex] =-2 which is not divisible by 6  

x= 1  

[tex]\to 4x-2[/tex] = 2 not divisilble by 6  

x= 2

[tex]\to 4x-2[/tex] = 6 which is divisible by 6  

x=3  

[tex]\to 4x-2[/tex] = 10 not divisible by 6

x=4  

[tex]\to 4x-2[/tex]  = 14 not divisible by 6  

x=5

[tex]\to 4x-2[/tex]  = 18 which is divisible by 6  

so such x are x = 2 and x = 5

Answer:

w = 1 i + 1 j - 1 k

u = 1 i + 4 j + 5 k

Step-by-step explanation:

Two possible vectors are:

w = 1 i + 1 j - 1 k

and

u = 1 i + 4 j + 5 k

since they verify the rules for scalar product equal zero among them:

v * w = 3 - 2 - 1 = 0

v * u = 3 - 8 + 5 = 0

u * w = 1 + 4 - 5 = 0