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luda_lava [24]
3 years ago
5

Which expression has the greatest value?

Mathematics
1 answer:
zhuklara [117]3 years ago
4 0
Top Right: 1 3/4 divided by 1/10
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What is the exact value of sin -840
dsp73
First subtract  2 revolutions from the - 840 :-    (- (840-720)  = -120

This gives  sin -120  which is in the 3rd quadrant of the unit circle

sin -120  =  - sin 60  = - sqrt3/2
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Find the product.<br><br> (n + 4)2
Schach [20]

Answer:

n^2+8n+16

Step-by-step explanation:

(n+4)^2

=(n+4) (n+4)

= n^2+4n+4n+16

=n^2+8n+16

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What is the largest prime factor of 12
Alex Ar [27]

Answer:

3

Step-by-step explanation:


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3 years ago
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2. Consider the circle x^2−4x+y^2+10y+13=0. There are two lines tangent to this circle having a slope of 2/3.
likoan [24]

Answer:

a) The coordinates are (0.431, -2.646) and (3.568,-7.354)

b) The tangent lines are

l₁ = (x-0.431)*2/3 - 2.646

l₂ = (x-3.568)2/3 - 7.354

Step-by-step explanation:

First, lets complete squares, by taking for each cordinate the square of a linear expression

0= x²−4x+y²+10y+13 = (x-2)²+ 4  + (y+5)²-25+13 = (x-2)²+(y+5)² - 8

Hence (x-2)² + (y+5)² = 8

Lets put y in function of x. We should obtain 2 functions f and g that represent the circle.

(y+5)² = 8 - (x-2)² = -x² + 4x + 4

y = ^+_- \sqrt{-x^2+4x+4} -5

Thus

f(x) = \sqrt{-x^2+4x+4} - 5

g(x) = -\sqrt{-x^2+4x+4} - 5

Lets find the derivate of each function and the points in which they reach the value 2/3. In those points the tangent line will have a slope of 2/3.

We may just find the values of x which the derivate of f is either 2/3 or -2/3.

\frac{-x+2}{\sqrt{-x^2+4x+4}} = ^+_-\frac{2}{3} \Leftrightarrow \frac{x^2-4x+4}{-x^2+4x+4} = \frac{4}{9} \Leftrightarrow 9(x^2-4x+4) = 4(-x^2+4x+4) \\\Leftrightarrow 13x^2-52x+20 = 0

The quadratic has roots

\frac{52 ^+_-\sqrt{1664}}{26}

one root is 3.568, which corresponds with g, and the other root is 0.431, corresponding to f.

Also g(3.568) = - 7.354 and f(0.431) = -2.646

This means that the coordinates are (0.431 , -2.646), (3.568 , -7.354) and the tangent lines are

l₁ = (x-0.431)*2/3 - 2.646

l₂ = (x-3.568)2/3 - 7.354

5 0
3 years ago
Find the product of (√3-5) and (√3+2)​
beks73 [17]

Step-by-step explanation:

check it.. i have solved it for you.

3 0
3 years ago
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