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3 years ago

Define parallel lines.

Mathematics

2 answers:

erastova [34]3 years ago

8 0

The Correct answer is B) Lines in same plane never intersect

Stella [2.4K]3 years ago

3 0

The correct answer is B. Parallel lines are lines in the same plane that never intersect.

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A circular fish pond is shown below. What<br> is the circumference of the pond? The radius is 18.5cm

alisha [4.7K]

Answer:

about 116.18

Step-by-step explanation:

Circumference is 2PI*radius

So it should equal 37*3.14 which equals about 116.18

7 0

2 years ago

2 points) Sometimes a change of variable can be used to convert a differential equation y′=f(t,y) into a separable equation. One

Stells [14]

$y'=(t+y)^2-1$

Substitute $u=t+y$ , so that $u'=y'$ , and

$u'=u^2-1$

which is separable as

$\dfrac{u'}{u^2-1}=1$

Integrate both sides with respect to $t$ . For the integral on the left, first split into partial fractions:

$\dfrac{u'}2\left(\frac1{u-1}-\frac1{u+1}\right)=1$

$\displaystyle\int\frac{u'}2\left(\frac1{u-1}-\frac1{u+1}\right)\,\mathrm dt=\int\mathrm dt$

$\dfrac12(\ln|u-1|-\ln|u+1|)=t+C$

Solve for $u$ :

$\dfrac12\ln\left|\dfrac{u-1}{u+1}\right|=t+C$

$\ln\left|1-\dfrac2{u+1}\right|=2t+C$

$1-\dfrac2{u+1}=e^{2t+C}=Ce^{2t}$

$\dfrac2{u+1}=1-Ce^{2t}$

$\dfrac{u+1}2=\dfrac1{1-Ce^{2t}}$

$u=\dfrac2{1-Ce^{2t}}-1$

Replace $u$ and solve for $y$ :

$t+y=\dfrac2{1-Ce^{2t}}-1$

$y=\dfrac2{1-Ce^{2t}}-1-t$

Now use the given initial condition to solve for $C$ :

$y(3)=4\implies4=\dfrac2{1-Ce^6}-1-3\implies C=\dfrac3{4e^6}$

so that the particular solution is

$y=\dfrac2{1-\frac34e^{2t-6}}-1-t=\boxed{\dfrac8{4-3e^{2t-6}}-1-t}$

3 0

3 years ago

If EF=2x-12, FG= 3x-15, and EG=23, find values of x, EF, and FG

velikii [3]

we have that

*-------------------------*--------------------------------*

E F G

EF=2x-12

FG= 3x-15

EG=23

we know that

EF + FG = EG

[2x - 12] + [3x - 15] = 23 simplify

5x - 27 = 23 add 27 to both sides

5x = 50 divide both sides by 5

x = 10

EF=2x-12-------> EF=2*10-12-------> EF=8

FG= 3x-15------> FG=3*10-15------> FG=15

therefore

the answer part a) is

the value of x is 10

the answer part b) is

the value of EF is 8

the answer part c) is

the value of FG is 15

6 0

3 years ago

98675465791851234567890 divide 12345678901234567890987654321

azamat

Answer:

7.9927128e-6

Step-by-step explanation:

8 0

4 years ago

Read 2 more answers

What is the surface area of the cube shown?<br><br> 6.5 lenth 6.5 hieght

swat32

Answer:

253.5

Step-by-step explanation:

basically i had the same question so yeah! and im a pro at math

6 0

4 years ago

Read 2 more answers