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san4es73 [151]
3 years ago
8

Write the equation of a line that is perpendicular to y = 0 . 2 5 x − 7 y=0.25x−7y

Mathematics
1 answer:
sergey [27]3 years ago
3 0

write the equation of a line that is perpendicular to y=0.25x-7 and that ... 0. Check Marked as Best Answer. Its slope must be the negative.

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Answer:

omg thxxx and I hope you have a good day too :)))))))))

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Prove each of these identities.
Virty [35]
<h3><u>Answer</u><u>:</u></h3>

<u>➲</u><u> </u><u>(</u><u> </u><u>1</u><u> </u><u>+</u><u> </u><u>sec </u><u>x </u><u>)</u><u>(</u><u> </u><u>cosec </u><u>x </u><u>-</u><u> </u><u>cot </u><u>x </u><u>)</u><u> </u><u>=</u><u> </u><u>tan </u><u>x</u>

  • <em>Solving</em><em> </em><em>for </em><em>L.H.S</em>

\implies\quad \sf{(1+sec\:x)(cosec\:x-cot\:x) }

\implies\quad \sf{ \left(1+\dfrac{1}{cos\:x}\right)\left(\dfrac{1}{sin\:x}-\dfrac{cos\:x}{sin\:x}\right)}

\implies\quad \sf{ \left(\dfrac{1+cos\:x}{cos\:x}\right)\left(\dfrac{1-cos\:x}{sin\:x}\right)}

\implies\quad \sf{ \left(\dfrac{1-cos^2 x}{cos\:x.sin\:x}\right)}

\implies\quad \sf{ \left( \dfrac{sin^2 x}{cos\:x.sin\:x}\right)}

\implies\quad \sf{ \left( \dfrac{sin\:x.\cancel{sin\:x}}{cos\:x.\cancel{sin\:x}}\right)}

\implies\quad \sf{\left( \dfrac{sin\:x}{cos\:x}\right) }

\implies\quad\underline{\underline{\pmb{ \sf{tan\:x}}} }

<u>➲</u><u> </u><u>(</u><u> </u><u>1</u><u>+</u><u> </u><u>sec </u><u>x </u><u>)</u><u>(</u><u> </u><u>1</u><u>-</u><u> </u><u>cos </u><u>x </u><u>)</u><u> </u><u>=</u><u> </u><u>sin </u><u>x.</u><u> </u><u>tan </u><u>x</u>

  • <em>Solving </em><em>for </em><em>L.H.S</em>

\implies\quad \sf{ ( 1+ sec\:x)(1-cos\:x)}

\implies\quad \sf{\left(1+\dfrac{1}{cos\:x} \right) \left( 1-cos\:x\right)}

\implies\quad \sf{ \left(\dfrac{cos\:x+1}{cos\:x} \right)(1-cos \:x)}

\implies\quad \sf{\dfrac{1-cos^2 x}{cos\:x} }

\implies\quad \sf{\dfrac{sin^2x}{cos\:x} }

\implies\quad \sf{sin\:x.\left( \dfrac{sin\:}{cos\:x}\right) }

\implies\quad\underline{\underline{\pmb{ \sf{sin\:x.tan\:x}}} }

7 0
3 years ago
Pls Help??
JulsSmile [24]

Answer:

false

Step-by-step explanation:

the formula for the area of a circle is πr^2

π=3.14

r= 1/2 of diameter = 6

3.14 x 6^2

=113.04cm2

5 0
3 years ago
A company purchased equipment and signed a 7-year installment loan at 9% annual interest. The annual payments equal $9,000. The
ANTONII [103]
First, we should apply the present value of annuity formula. It is PV=A \frac{1- \frac{1}{(1+r)^{N}}}{r} and in this formula \frac{1- \frac{1}{(1+r)^{N}}}{r} is the present value of annuity factor.

Then, we can find the present value of the annuity by writing that, PV=9000 * 5.033 = 45297 <span>
</span>
7 0
3 years ago
Read 2 more answers
Suppose a car's momentum is calculated to be 36000 . The mass of the car is 1,500 kg. What is the magnitude of the velocity of t
Ad libitum [116K]

Answer:

The magnitude of the velocity of the car is 24 m/s .

Step-by-step explanation:

Given : A car's momentum is calculated to be 36000 .

          the mass of the car is 1500 kg.

To find: What is the magnitude of the velocity of the car.

Formula used:

           Momentum =mass × velocity

Explanation:

We are given that momentum of the car =36000 .

                                  Mass of the car = 1500 kg .

  Plugging the given value in the above formula

                 Momentum =mass × velocity

                               36000 = 1500 × velocity

  On dividing both side by 1500 we get ,

                              velocity   =    24 meter/second

Therefore,   The magnitude of the velocity of the car is 24 m/s .

 

4 0
3 years ago
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