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3 years ago

Is this transformation a rigid motion? Last one! Thank you so much for helping me chemistryfan you literally saved me!!!

Mathematics

1 answer:

ss7ja [257]3 years ago

3 0

Answer:

Not rigid motion

Step-by-step explanation:

The mapping rule is x,y --> x+3, 2y

It's not a translation , rotation, reflection, nor glide reflection.

Distance is not preserved

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If the line passing through the points (a, 1) and (−17, 8) is parallel to the line passing through the points (0, 5) and (a + 2,

stellarik [79]

Parallel line means the same slope
（8-1）/(-17-a)=(1-5)/(a+2)
so a is 18

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3 years ago

What is C/a + 4 when a=2, and c= 10

tigry1 [53]

Answer:

4 and 10/2 so actually 9

Step-by-step explanation:

6 0

2 years ago

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Determine the intercepts of the line.<br> y = 10x - 32<br> y-intercept: (<br> z-intercept: (

Rom4ik [11]

Answer:

see below

Step-by-step explanation:

y = 10x - 32

To find the x intercept set y =0 and solve for x

0 = 10x -32

Add 32 to each side

32 = 10x

Divide by 10

32/10=10x/10

3.2 = x

To find the y intercept set x =0 and solve for t

y = 10*0 -32

y= -32

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3 years ago

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Select all the common denominators for 8/3 and 5/6 .......12, 24, 32, 36, 48

BabaBlast [244]

Hello.

The answer to your question is =
12, 3 x 4 and 6 x 2.
24, 3 x 8 and 6 x 4.
36, 3 x 12 and 6 x 6.
48, 3 x 16 and 6 x 8.

So it's pretty much everything except for 32.
Have a great day!

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3 years ago

Read 2 more answers

Before the pandemic cancelled sports, a baseball team played home games in a stadium that holds up to 50,000 spectators. When ti

spayn [35]

Answer:

(a) $D(x)=-2,500x+60,000$

(b) $R(x)=60,000x-2500x^2$

(d)Optimal ticket price: $12

Maximum Revenue:$360,000

Step-by-step explanation:

The stadium holds up to 50,000 spectators.

When ticket prices were set at $12, the average attendance was 30,000.

When the ticket prices were on sale for $10, the average attendance was 35,000.

(a)The number of people that will buy tickets when they are priced at x dollars per ticket = D(x)

Since D(x) is a linear function of the form y=mx+b, we first find the slope using the points (12,30000) and (10,35000).

$\text{Slope, m}=\dfrac{30000-35000}{12-10}=-2500$

Therefore, we have:

$y=-2500x+b$

At point (12,30000)

$30000=-2500(12)+b\\b=30000+30000\\b=60000$

Therefore:

$D(x)=-2,500x+60,000$

(b)Revenue

$R(x)=x \cdot D(x) \implies R(x)=x(-2,500x+60,000)\\\\R(x)=60,000x-2500x^2$

(c)To find the critical values for R(x), we take the derivative and solve by setting it equal to zero.

$R(x)=60,000x-2500x^2\\R'(x)=60,000-5,000x\\60,000-5,000x=0\\60,000=5,000x\\x=12$

The critical value of R(x) is x=12.

(d)If the possible range of ticket prices (in dollars) is given by the interval [1,24]

Using the closed interval method, we evaluate R(x) at x=1, 12 and 24.

$R(x)=60,000x-2500x^2\\R(1)=60,000(1)-2500(1)^2=\$57,500\\R(12)=60,000(12)-2500(12)^2=\$360,000\\R(24)=60,000(24)-2500(24)^2=\$0$

Therefore:

Optimal ticket price:$12
Maximum Revenue:$360,000

3 0

3 years ago