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SOVA2 [1]
1 year ago
5

Find a new function g(x) transformed from f(x)=-x-2 such that g(x) is perpendicular to f(x) .

Mathematics
1 answer:
sineoko [7]1 year ago
6 0

The new function is g(x) =-1(1/-x) +2.

The transformation of function f(x) to function g(x) is given by g(x)=A f(Bx+ H)+K. where the constant A scales the function vertically. (A negative A reflects the function about the x-axis B scales the function horizontally. (A negative B reflects the function on the y-axis.) H shifts the function horizontally, and K shifts the function vertically.

Convert f(x) to g(x)

where the conversion is g(x)=f(x)+2.

A perpendicular line has negative reciprocal slopes, so for g(x) to be perpendicular to f(x), we need to get the negative reciprocal of -x, which is -1(1/-x)

So, f(x)=-x-2  ; m = -1

From the above information, we get g(x) as follows.

g(x) =-1(1/-x) +2

More problems related to finding new functions for a given function are below.

brainly.com/question/13825802?referrer=searchResults

#SPJ4

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At 1 P.M., ship A is 150 km west of ship B. Ship A is sailing east at 35 km/h and ship B is sailing north at 25 km/h. How fast i
Evgen [1.6K]
<span>The distance between the ships is changing at a rate of 21.393 km/h

</span><span>Step 1: First, you must draw an image to help better understand the problem 
</span>

The reason that ship A is moving -35km/h is because ship B acts as an "origin" and as things move closer to the "origin" they become negative and as things move away from the "origin" they become positive.

We know that the rate of Ship A is expressed as <span><span><span>dA</span><span>dt</span></span>=−35</span> and the rate of Ship B is expressed as <span><span><span>dB</span><span>dt</span></span>=25</span>

Step 2: We want to figure out how many km Ship A and Ship B traveled in 4 hours

<span>ShipA:−35<span><span>km</span>h</span>⋅4hr=−140km</span>

Now if we take this <span>−140km</span> and add it to the <span>150km</span> we can see that Ship A is now only <span>10km</span> away from where Ship B began

<span>ShipB:25<span><span>km</span>h</span>⋅4hr=100km</span>

This means that Ship B is now <span>100km</span> from where it originally started

We can now redraw our information

Step 3: We must use the Pythagorean Theorem to find the third side of the triangle

<span><span>x2</span>+<span>y2</span>=<span>z2</span>→<span>102</span>+<span>1002</span>=<span>z2</span></span>

<span>z=<span>√<span><span>102</span>+<span>1002</span></span></span></span>

Step 4: Now that we know z, we must differentiate the original equation in order to find the rate at which z in changing

<span><span>x2</span>+<span>y2</span>=<span>z2</span>→2x<span><span>dx</span><span>dt</span></span>+2y<span><span>dy</span><span>dt</span></span>=2z<span><span>dz</span><span>dt</span></span></span>

We can simplify by canceling out the 2's

<span>x<span><span>dx</span><span>dt</span></span>+y<span><span>dy</span><span>dt</span></span>=z<span><span>dz</span><span>dt</span></span></span>

Step 5: Write down all the information and then plug into equation

<span>x=10and<span><span>dx</span><span>dt</span></span>=−35</span>
<span>y=100and<span><span>dy</span><span>dt</span></span>=25</span>
<span>z=<span>√<span><span>102</span>+<span>1002</span></span></span>and<span><span>dz</span><span>dt</span></span>=?</span>

Now plug in the information

<span>x<span><span>dx</span><span>dt</span></span>+y<span><span>dy</span><span>dt</span></span>=z<span><span>dz</span><span>dt</span></span></span>

<span>10<span>(−35)</span>+100<span>(25)</span>=<span>√<span><span>102</span>+<span>1002</span></span></span><span><span>dz</span><span>dt</span></span></span>

<span>−350+2500=<span>√<span><span>102</span>+<span>1002</span></span></span><span><span>dz</span><span>dt</span></span></span>

<span>2150=<span>√<span><span>102</span>+<span>1002</span></span></span><span><span>dz</span><span>dt</span></span></span>

<span>21.393=<span><span>dz</span><span>dt</span></span></span>

The distance between the ships are increasing at a rate of 21.393 km/h

8 0
3 years ago
Help a uneducated sis out✊
N76 [4]

Answer & Step-by-step explanation:

The domain of a set of points refers to the input, also known as the x values. To find the domain, record all the x values given (x,y):

domain={-2,0,3,5}

:Done

**The range is the output, aka the y values.

5 0
2 years ago
Serenity has 2\frac{1}{2} 2 1 ​ cups of dough to make dumplings. If she uses \frac{3}{4} 4 3 ​ cup of dough for each dumpling, h
BARSIC [14]

3 dumplings can be made by Serenity

<em><u>Solution:</u></em>

Given that,

Serenity has 2\frac{1}{2} cups of dough to make dumplings

She uses \frac{3}{4} cup of dough for each dumpling

To find: Number of whole dumplings made

From given information,

\text{Total cups of dough } = 2\frac{1}{2} = \frac{2 \times 2+1}{2} =\frac{5}{2}

\text{Cups of dough for 1 dumpling } = \frac{3}{4}

To find the number of whole dumplings made, we can divide the total cups of dough by cups of dough for 1 dumpling

\text{Number of whole dumplings made } = \frac{\text{total cups of dough}}{\text{cups of dough for 1 dumpling}}\\\\\text{Number of whole dumplings made } = \frac{\frac{5}{2}}{\frac{3}{4}} = \frac{5}{2} \times \frac{4}{3}\\\\\text{Number of whole dumplings made } = \frac{10}{3} = 3.33 \approx 3

Thus 3 dumplings can be made

6 0
3 years ago
Find q. Write your answer in simplest radical form.
yawa3891 [41]

Answer:

q=90 units.

Step-by-step explanation:

5 0
3 years ago
Hello!
avanturin [10]

Answer:

  • 7.71 km²

Step-by-step explanation:

<u>Area of triangle:</u>

  • A = 1/2bh

We have the value of b but not h.

Added auxiliary segments which help to find the value of h.

<em>See attached for details</em>

  • sin 40° = h/4
  • h = 4 sin 40°
  • h = 2.57 km

<u>The area is:</u>

  • A = 1/2*6*2.57 = 7.71 km²

6 0
2 years ago
Read 2 more answers
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