A fish is 12 meaters above the surface of the ocean what is its elevation

1 answer:

kramer3 years ago

8 0

Elevation: H<span>eight above a given level, especially sea level.

So the answer is already given to us. 12 meters.</span>

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Please help The dilation DO,2.5 is applied to triangle ABC below. Use the dilation of triangle ABC and its image to prove that t

viva [34]

A dilation $D_{O,\,k}$ is a dilation with a scale factor, k centered at the origin.

A scale factor, k means that the distance of the image from the the center of dilation is k times the distance of the pre-image from the center of dilation and the size of the image is k times the size of the pre-image.

Given triangle ABC with vertices A(-2, 2), B(1, 2) and C(1, -1), a dilation $D_{O,\,k}$ will result in the image with vertices A'2.5(-2, 2) = A'(-5, 5), B'2.5(1, 2) = B'(2.5, 5) and C'2.5(1, -1) = C'(2.5, -2.5)

Now, consider line AC, the equation of the line is given by

$\frac{y-2}{x-(-2)} = \frac{-1-2}{1-(-2)} \\ \\ \Rightarrow \frac{y-2}{x+2} = \frac{-3}{1+2} = \frac{-3}{3} =-1 \\ \\ \Rightarrow y-2=-(x+2)=-x-2 \\ \\ \Rightarrow y=-x$

Notice that line y = -x is a line passing through the origin which is the center of dilation.

Consider line A'C', the equation of the line is given by

$\frac{y-5}{x-(-5)} = \frac{-2.5-5}{2.5-(-5)} \\ \\ \frac{y-5}{x+5} = \frac{-7.5}{2.5+5} = \frac{-7.5}{7.5} =-1 \\ \\ \Rightarrow y-5=-(x+5)=-x-5 \\ \\ \Rightarrow y=-x$

As an be seen the line AC and the line A'C' is the same line.

4 0

3 years ago

Read 2 more answers

If <img src="https://tex.z-dn.net/?f=log_%7B2%7D" id="TexFormula1" title="log_{2}" alt="log_{2}" align="absmiddle" class="latex-

12345 [234]

Answer:

The answer is (1/2)z - x - 3y

Step-by-step explanation:

∵ $log_{2}P=x$

∵ $log_{2}Q=y$

∵ $log_{2}R=z$

∵ $log_{2}\frac{R^{\frac{1}{2}}}{(P)(Q^{3})}$

∴ $log_{2}(R)^{\frac{1}{2}}-log_{2}P-log_{2}(Q^{3})$

∴ $\frac{1}{2}log_{2}R-log_{2}P-3log_{2}Q$

∴ $\frac{1}{2}z-x-3y$

3 0

3 years ago

Mr. Martinez walks 5 miles in 2 hours at a steady pace. How far can he walk in 1 hour and 15 minutes

otez555 [7]

Junaid Mirza
Apr 5, 2018
2.8125 mile

Explanation:
Speed
=
Distance
Time
Speed
=
5 mile
2 hr
=
2.25 miles/hr
1 hr 15 min
=
1 hr
+
1
4

hr
=
1.25 hr
Distance = Speed × Time
=
2.25

miles
hr
×
1.25
hr
=
2.8125 mile

5 0

3 years ago

You can model that you expect a 1.25% raise each year that you work for certain company. If you currently make $50,000 how many

otez555 [7]

Answer:

It will take 56 years to make $100,000

Step-by-step explanation:

We can use the expression for the future value to determine the number of years you will work to make $100,000. The expression is as shown;

FV=PV(1+r)^n

where;

FV=future value of salary

PV=present value of salary