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3 years ago

Which algebraic of an transformation on a coordinate grid does not preserve congruence

Mathematics

1 answer:

Karo-lina-s [1.5K]3 years ago

6 0

Answer:

rotation

Step-by-step explanation:

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Xy′ = √(1 − y2 ), y(1) = 0

tigry1 [53]

Answer:

y=sin(ln(x))

Step-by-step explanation:

First, we have to order the terms as follows and express y' as dy / dx:

$x*\frac{dy}{dx} =\sqrt{(1-y^{2} )} \\\frac{x}{dx}=\frac{dy}\sqrt{(1-y^{2} )}}\\\frac{dx}{x}=\frac{dy}{\sqrt{(1-y^{2} )} }$

Then, we have to integrate

$\int{\frac{dx}{x}=\int{\frac{dy}{\sqrt{(1-y^{2} )} }$

with this solution after integration:

$ln(x)+C1=arcsin(y)+C2$

Then, we have to reorder

$arcsin(y)=ln(x)+C$

and applied Sin function on both sides

$sin(arcsin(y))=sin(ln(x)+C)\\y=sin(ln(x)+C)$

To define the value of C, we use the known point y(1)=0 and replace in the equation

$y=sin(ln(x)+C)\\0=sin(ln(1)+C)\\0=sin(0+C)\\0=sin(C)\\C=arcsin(0)\\C=0$

The function that proves that differential equation is

$y=sin(ln(x))$

6 0

3 years ago

(-1,2p³q)(10p²r²)=<br> Help me

MaRussiya [10]

For this case we have the following expression:
$(-1.2p^3q)(10p^2r^2)$
When making multiplication, the first thing you should keep in mind is the following property:
Same basis, the exponents are added.
We have then:
$-12p^{3+2}r^2q$
Rewriting we have:
$-12p^{5}r^2q$
Answer:
The simplified expression is given by:
$-12p^{5}r^2q$

5 0

4 years ago

URGENTTT!!! NEED HELP ASAP!!! (WILL MARK BRAINLIEST FOR CORRECT ANSWER)

Mariana [72]

Answer:

112.41

Step-by-step explanation:

9 percent of 1,249 is 112.41

3 0

3 years ago

Read 2 more answers

HELP PLS

OLga [1]

Answer:

D hope this helps

Step-by-step explanation:

-y •2=-2

-2+2=0

4x+x=5x

6+3=9

5x=9

9 divided by 5

x=1.9

So there for I think the answer is 2 it’s closest to 1.9

8 0

3 years ago

The count in a bacteria culture was 400 after 15 minutes and 1400 after 30 minutes. Assuming the count grows exponentially,

ValentinkaMS [17]

Answer:

find the double period

Step-by-step explanation:

4 0

3 years ago