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3 years ago

Prime factorization for 38

Mathematics

2 answers:

Goryan [66]3 years ago

4 0

Answer:

19*2

Step-by-step explanation:

We need to get 38 into prime numbers

38 = 19*2

Both 19 and 2 are prime numbers

Goryan [66]3 years ago

3 0

Only 2 and 19!
Self explanatory ☺️

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Multi digit subtraction 42-6

FromTheMoon [43]

42-6 is 36 that is your answer

6 0

4 years ago

Read 2 more answers

Give the largest interval over which the general solution is defined. (Think about the implications of any singular points. Ente

Leto [7]

Complete Question

The complete question is shown on the first uploaded image

Answer:

No singular point due to the exponent in the solution

The interval is $-\infty$

NONE

Step-by-step explanation:

From the question we are told that

$\frac{dy}{dx} = 9y$

The generally solution is mathematically represented as

$\frac{dy }{dx} = 9y$

=> $\frac{dy}{y} = 9dx$

integrating both sides

$\int\limits {\frac{ dy}{y} } \, = \int\limits {9} \, dx$

=> $lny = 9x + c$

=> $y = e^{9x +c }$

=> $y = e^{9x} e^{c}$

Here $e^c = C$

=> $y = C e^{9x}$

From the above equation we see that the domain for x has no singular point the interval is

$-\infty$

Also there is no transient term in the general solution obtained because as $x \to \infty$ there no case where $y \to 0$

7 0

3 years ago

Solve for x in the equation x squared 11 x startfraction 121 over 4 endfraction = startfraction 125 over 4 endfraction.

Mrrafil [7]

The solutions are { -1,-11}

Lets solve the given equation:

x^2 + 11x + 121/4 = 125/4

Subtracting 125/4 from both sides:

=>x^2 + 11x + 121/4-125/4= 125/4 -125/4

=> x^2 + 11x - (-4/4) = 0

=> x^2 +11x -(-1) = 0

=>x^2 + 11 x + 1 = 0

This is a quadratic equation so we will use the determinant (b^2-4ac)

a = 1

b = 11

c = 1

b^2-4ac = 11^2-4*1*1 = 117

So this equation has two solutions:

x = (-b -/+ √(b^2-4ac) ) / 2a

x = (-11 -/+ √(117) ) / 2

x = (-11 -/+ 3√(13))/ 2

x = -0.91 or x = -10.9

x = -1 or x = -11 ( rounding off)

hence the solutions are { -1,-11}.

Learn more about Quadratic Equation on:

brainly.com/question/1214333

#SPJ4

6 0

2 years ago

Find the midpoint of the segment with the following endpoints.<br> (10,3) and (2,9)

Anastaziya [24]

Answer:

(6,6)

Step-by-step explanation:

To find the x coordinate of the midpoint take the average of the x coordinates of the endpoints

(10+2)/2 = 12/2 = 6

To find the y coordinate of the midpoint take the average of the y coordinates of the endpoints

(3+9)/2 = 12/2 = 6

(6,6)

5 0

3 years ago

Which statement explains how you could use coordinate geometry to prove that quadrilateral ABCD is a square?

pickupchik [31]

Options are not shown but…
A square has 4 equal length sides and a right angle

Or two equal length diagonals which are perpendicular

Or 4 right angled corners and two adjacent sides equal

Or perpendicular diagonals with the same midpoint

Using the last one…
Gradient of AC = (5 - 3)/(-3 - 3) = 2/-6 = -1/3
Gradient of BD = (7 - 1)/(1 - -1) = 6/2 = 3
-1/3 x 3 = -1 so AC and BD are perpendicular
Midpoint of AC = ((-3 + 3)/2 , (5 + 3)/2) = (0, 4)
Midpoint of BD = ((1 + -1)/2 , (7 + 1)/2) = (0, 4)
QED

3 0

2 years ago