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Alisiya [41]
3 years ago
9

Write this statement as a conditional statement in the form “if p, then q.”

Mathematics
1 answer:
Nezavi [6.7K]3 years ago
6 0

Answer:

if three points are all located on the same line, then, the points are collier points.

Step-by-step explanation:

the if or p statement is called the hypothesis.

the then or q statement is called the conclusion.

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A dealer marks a T-shirt with a price 20 PERCENT more than the cost price. It he sells it at a discount of I5 PERCENT.. What wil
Vlada [557]

Answer:

Rs 2,or 2%profit

Step-by-step explanation:

the price he marked:

100 \times  \frac{120}{100}  = 120

(20 percent more than cost price)

The discount he put: 15 percent

120 \times  \frac{85}{100}

Rs102

102 is 2 more than 100

and is 2%profit.

Brainliest please

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3 years ago
(8 pts)
Elan Coil [88]

Answer:

{x,y,z} = {-22/13,29/13,6/13} 

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3 years ago
Integrate the following
enot [183]

I suppose you mean to have the entire numerator under the square root?

\displaystyle\int_2^4\frac{\sqrt{x^2-4}}{x^2}\,\mathrm dx

We can use a trigonometric substitution to start:

x=2\sec t\implies\mathrm dx=2\sec t\tan t\,\mathrm dt

Then for x=2, t=\sec^{-1}1=0; for x=4, t=\sec^{-1}2=\frac\pi3. So the integral is equivalent to

\displaystyle\int_0^{\pi/3}\frac{\sqrt{(2\sec t)^2-4}}{(2\sec t)^2}(2\sec t\tan t)\,\mathrm dt=\int_0^{\pi/3}\frac{\tan^2t}{\sec t}\,\mathrm dt

We can write

\dfrac{\tan^2t}{\sec t}=\dfrac{\frac{\sin^2t}{\cos^2t}}{\frac1{\cos t}}=\dfrac{\sin^2t}{\cos t}=\dfrac{1-\cos^2t}{\cos t}=\sec t-\cos t

so the integral becomes

\displaystyle\int_0^{\pi/3}(\sec t-\cos t)\,\mathrm dt=\boxed{\ln(2+\sqrt3)-\frac{\sqrt3}2}

7 0
3 years ago
Which is the value of this expression when p = - 2 and q = -1?
Elan Coil [88]

Answer: -4 is the answer

Step-by-step explanation:

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3 years ago
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