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Kobotan [32]
3 years ago
9

HELP MEEEEE PLEASEEEEEE

Mathematics
1 answer:
Sindrei [870]3 years ago
6 0

Answer:

x=16\dfrac{28}{37}\\ \\y=5\dfrac{1}{3}\\ \\z=7.5

Step-by-step explanation:

The diagram shows three paralel lines which divide the large triangle into three similar triangles.

By Thales theorem,

\dfrac{5}{z}=\dfrac{y}{8}=\dfrac{2}{3}

Then

\dfrac{5}{z}=\dfrac{2}{3}\Rightarrow 2z=15,\ z=7.5\\ \\\dfrac{y}{8}=\dfrac{2}{3}\Rightarrow 3y=16,\ y=\dfrac{16}{3}=5\dfrac{1}{3}

From the similarity of triangles,

\dfrac{x}{20}=\dfrac{z+8}{z+8+3}\\ \\\dfrac{x}{20}=\dfrac{7.5+8}{7.5+8+3}\\ \\\dfrac{x}{20}=\dfrac{15.5}{18.5}\\ \\x=20\cdot \dfrac{155}{185}=20\cdot \dfrac{31}{37}=\dfrac{620}{37}=16\dfrac{28}{37}

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mojhsa [17]

Answer:

The function has been flipped due to the negative in front.

The function has been shifted 17 units to the left.

The function has been shifted 4.3 units down.

Step-by-step explanation:

When functions are transformed there are a few simple rules:


  • Adding/subtracting inside the parenthesis to the input shifts the function left(+) and right(-).
  • Adding/subtracting outside the parenthesis to the output shifts the function up(+) and down(-).
  • Multiplying the function by a number less than 1 compresses it towards the x-axis.
  • Multiplying the function by a number greater than 1 stretches it away from the x-axis.
  • Multiplying by a negative flips the graph.

The graph of (-2^{x+17}) -4.3 compares to 2^x in the following ways:

The function has been flipped due to the negative in front.

The function has been shifted 17 units to the left.

The function has been shifted 4.3 units down.

7 0
3 years ago
The dimensions of a conical funnel are shown below: A conical funnel is shown with the height of the cone as 7 inches and the ra
Nataly [62]
The first thing we should know in this case is that by definition the flow of liquid is given by:
 Q = V / t
 Where,
 V: volume
 t: time
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 V = (pi * r ^ 2 * h) / (3)
 Where,
 r: radio
 h: height
 Substituting the values we have:
 V = (3.14 * ((3) ^ 2) * 7) / (3)
 V = 65.94 in ^ 3
 We now turn off the time of the flow equation:
 t = V / Q
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5 0
3 years ago
Read 2 more answers
What is 5.5 written as a fraction in simplest form
julia-pushkina [17]
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6 0
3 years ago
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Kalvin sells bottles of water at baseball games he pays 0.75 per bottle and 3.78 for the ice to keep cold let b represent the nu
sergij07 [2.7K]

Answer:

3.78+.75b=c

Step-by-step explanation:

7 0
3 years ago
Total profit P is defined as total revenue R minus total cost​ C, and is given by the function P(x)=R(x)−C(x). Find the total pr
satela [25.4K]

Given:

The revenue function is

R(x)=126.98x-0.5x^2

The cost function is

C(x)=3809.40+0.7x^2

To find:

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Solution:

We know that, the total profit P is defined as total revenue R minus total cost​ C.

So, the profit function is

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P(x)=126.98x-0.5x^2-3809.40-0.7x^2

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Therefore, the profit function is P(x)=-3682.42-1.2x^2.

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