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Travka [436]
2 years ago
5

Solve for x x= ?? Hlp pls

Mathematics
2 answers:
zloy xaker [14]2 years ago
7 0

Answer:

x = 2.2

Step-by-step explanation:

From the figure, we see that

Δ ABC

is similar to

Δ ADE

So we can say that the corresponding sides are proportional (ratio is equal).

From the similarity statement, we can say:

AB corresponds to AD

BC corresponds to DE

AB = 10

AD = 10 + 1 = 11

BC = 2

DE = x

Now, we can write ratios and solve:

\frac{AB}{BC}=\frac{AD}{DE}\\\frac{10}{2}=\frac{11}{x}\\10x=2*11\\10x=22\\x=\frac{22}{10}\\x=2.2

The value of x is 2.2

Helga [31]2 years ago
6 0

Answer:

x = 2.2

Step-by-step explanation:

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10x^3 y^-5 z^-2 if x=3 y=2 and z=5 express your answer as a reduced fraction
sineoko [7]

Answer:

\large\boxed{\dfrac{27}{80}}

Step-by-step explanation:

Put x = 3, y = 2 and z = 5 to the given expression 10x^3y^{-5}z^{-2}:

10(3^3)(2^{-5})(5^{-2})\qquad\text{use}\ a^{-n}=\dfrac{1}{a^n}\\\\=\dfrac{10(27)}{(2^5)(5^2)}=\dfrac{270}{(32)(25)}=\dfrac{270}{800}=\dfrac{27}{80}

7 0
3 years ago
If g (x) = 1/x then [g (x+h) - g (x)] /h
lys-0071 [83]

Answer:

\dfrac{-1}{x(x+h)}, h\ne 0

Step-by-step explanation:

If g(x) = \dfrac{1}{x}, then g(x+h) = \dfrac{1}{x+h}. It follows that

  \begin{aligned} \\\frac{g(x+h)-g(x)}{h} &= \frac{1}{h} \cdot [g(x+h) - g(x)] \\&= \frac{1}{h} \left( \frac{1}{x+h} - \frac{1}{x} \right)\end{aligned}

Technically we are done, but some more simplification can be made. We can get a common denominator between 1/(x+h) and 1/x.

  \begin{aligned} \\\frac{g(x+h)-g(x)}{h} &= \frac{1}{h} \left( \frac{1}{x+h} - \frac{1}{x} \right)\\&=\frac{1}{h} \left(\frac{x}{x(x+h)} - \frac{x+h}{x(x+h)} \right) \\ &=\frac{1}{h} \left(\frac{x-(x+h)}{x(x+h)}\right) \\ &=\frac{1}{h} \left(\frac{x-x-h}{x(x+h)}\right) \\ &=\frac{1}{h} \left(\frac{-h}{x(x+h)}\right) \end{aligned}

Now we can cancel the h in the numerator and denominator under the assumption that h is not 0.

  = \dfrac{-1}{x(x+h)}, h\ne 0

5 0
3 years ago
A piece of driftwood floats on the surface of the ocean. Due to the wave motion, its height rises and falls relative to the heig
Black_prince [1.1K]
Assuming that both the max and min heights of the wave are multiplied by 4, the new max height is 2*4 =8ft, and the min height is -1.5*4 =-6ft.

<span>What is the minimum height of the driftwood in the storm? -6ft.
What is the distance between the maximum and minimum heights of the driftwood during the storm? 8ft-(-6ft)=14 ft. </span>

3 0
3 years ago
Yyyeeeeeeeee<br><br> 1-2k-2k=5
kherson [118]

Answer:

k=-1

Step-by-step explanation:

1-2k-2k=5

1-4k=5

4k=1-5

4k=-4

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5 0
2 years ago
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