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Alexus [3.1K]
2 years ago
12

What percentage of 25kg is 15kg​

Mathematics
1 answer:
shtirl [24]2 years ago
3 0

Answer:

1.6 repeating

Step-by-step explanation:

25 divided by 15 is 1.6666... and to check your math you could multiply that answer by 15, and that would give you 25

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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
2 years ago
2. The cost of one pizza rose from $8.95
kifflom [539]

Answer:

0.15

Step-by-step explanation:

9.70-8.95= 0.75

0.75÷5= 0.15

4 0
2 years ago
Pls help extra points and mark brainlist
dusya [7]

Answer:

the value after solving = 16

Step-by-step explanation:

=》8 + (8/1^4) =》8 + 8 ( since 1^4 = 1 )

=》16

4 0
3 years ago
Read 2 more answers
Which statement is true? A.Two angles can be complementary and equal. B.Two angles cannot be equal if they are complementary. C.
o-na [289]
A because complementary angles means 2 angles that add together to equal 90 degrees and it's possible for both angles to be 45.
3 0
3 years ago
Which choices are equivalent?
Mice21 [21]

Answer:

B C F are correct answers

5 0
3 years ago
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