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andre [41]
1 year ago
14

Given:• A(3,-2)What are the coordinates of A' after a reflection about the line y = 1?0 (-1, -2)(3, 4)0 (-1,2)0 (-1,4)

Mathematics
1 answer:
Julli [10]1 year ago
4 0

The line y=1 is a horizontal line paralel to the x axis. This means that a reflection about it can't change the value of the x coordinate:

A_x=3=A^{\prime}_x

Regarding the y coordinate, in A we have that:

\begin{gathered} A_y=-2 \\ y-A_y=1-(-2)=3 \end{gathered}

Since A' is the reflection of A about line y=1 then we have that:

\begin{gathered} y-A^{\prime}_y=-(y-A^{}_y))=-3 \\ y-A^{\prime}_y=1-A^{\prime}_y=-3 \\ A^{\prime}_y=1+3=4 \end{gathered}

Then the coordinates of point A' are (3,4) and the correct answer is the second one.

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Aleksandr-060686 [28]
Actually, she worked for seven hours, so I'll solve for that.

7.20 x 3 = 21.6

6.75 x 4 = 27

21.6 + 27 = 48.6

48.6 /2 = 24.3

Her average should be $24.3  If she did work six hours, just multiply 6.75 x 3 and do what I did.
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3 years ago
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the overhead, fixed costs, is $1000.

the variable cost is $200, so if she sells "x" tiles, then her costs is 200*x or 200x.

total costs then will just be C(x) = 200x + 1000.

namely both costs added together.

Revenue is just how much it's been taken in from the sales, since each tile is selling for $240, then the revenue is simply 240*x or just R(x) = 240x.

break even point is when those two guys equal each other

\bf \stackrel{R(x)}{240x}=\stackrel{C(x)}{200x+1000}\implies 40x=1000\implies x=\cfrac{1000}{40}\implies x=25

what if the cost for each tile were $220, 20 bucks more?

\bf \stackrel{R(x)}{240x}=\stackrel{C(x)}{220x+1000}\implies 20x=1000\implies x=\cfrac{1000}{20}\implies x=50

well, if the cost for each tile is $200, her break-even point is at 25 units, namely once she has sold 25 tiles, she's has lost nothing, has won nothing either, but hasn't lost anything.

if the cost is however $220 instead, her break-even point comes much later, at 50 units, so she'll have to sell more tiles in order to not have any losses, so she's worse off if the cost is more or course.

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3 years ago
Describe and correct the error made in finding BC in the diagram
elena-s [515]

Answer:

AC is not equal to BC

AB=BC

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2 years ago
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yanalaym [24]

\huge {\mathfrak{Answer :  }}

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\boxed{\cos( \theta)  =  \dfrac{base}{hypotenuse}}

so,

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  • \dfrac{ \sqrt{3} }{2}  =  \dfrac{24}{x}

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now,

\boxed{ \tan( \theta) =  \frac{perpendcular}{base}  }

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Scilla [17]

Answer:

The approximate value of the scale is 1:67

or the actual value without approximation is 1: 66 2/3 ( 66 while number , two over three)

Step-by-step explanation:

Here, we want to figure out the scale in inches of the drawing to the actual object.

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while the drawing is 90 inches by 126 inches

Mathematically, we know that 12 inches = 1 foot

So the actual object will be;

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= 6000 inches by 8400 inches

Now let’s make a division to get the scale;

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we get 66.67 as answers on both ends

This is approximately equal to 67

So the scale we have here is 1:67

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