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Dafna11 [192]
3 years ago
6

Which number is greater . 60 or 7.5

Mathematics
1 answer:
myrzilka [38]3 years ago
5 0

Answer:

60 is greater than 7.5.

step by step

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Which equation represents the polar form of x² + (y + 4)² = 16?
Paraphin [41]

x^2+y^2=r^2\hspace{5em}x=r\cos(\theta )\hspace{5em}y=r\sin(\theta ) \\\\[-0.35em] ~\dotfill\\\\ x^2+(y+4)^2=16\implies x^2+\stackrel{binomial~expansion}{y^2+8y+16}=16 \\\\\\ \underset{x^2+y^2}{r^2} + 8(~\underset{8y}{r\sin(\theta )}~)=16-16\implies r^2+8r\sin(\theta)=0 \\\\\\ r^2=-8r\sin(\theta )\implies \cfrac{r^2}{r}=-8\sin(\theta )\implies r=-8\sin(\theta )

3 0
2 years ago
Find the midpoint with the endpoints (1,2) (7,2)
den301095 [7]

Answer:

(4,2)

Step-by-step explanation:

The x coordinate of the midpoint is the sum of the x coordinates divided by 2

( 1+7)/2 = 8/2 = 4

The y coordinate of the midpoint is the sum of the y coordinates divided by 2

( 2+2)/2 = 4/2 = 2

The midpoint is (4,2)

3 0
3 years ago
Read 2 more answers
I can do your exams and quizzes if you need an A!​
cluponka [151]

pool I would like that, I love u dude

8 0
2 years ago
How do you do this question?
ElenaW [278]

x*y' + y = 8x

y' + y/x = 8 .... divide everything by x

dy/dx + y/x = 8

dy/dx + (1/x)*y = 8

We have something in the form

y' + P(x)*y = Q(x)

which is a first order ODE

The integrating factor is u(x) = e^{\int P(x)dx} = e^{\int (1/x) dx} = e^{\ln(x)} = x

Multiply both sides by the integrating factor (x) and we get the following:

dy/dx + (1/x)*y = 8

x*dy/dx + x*(1/x)*y = x*8

x*dy/dx + y = 8x

y + x*dy/dx = 8x

Note the left hand side is the result of using the product rule on xy. We technically didn't need the integrating factor since we already had the original equation in this format, but I wanted to use it anyway (since other ODE problems may not be as simple).

Since (xy)' turns into y + x*dy/dx, and vice versa, this means

y + x*dy/dx = 8x turns into (xy)' = 8x

Integrating both sides with respect to x leads to

xy = 4x^2 + C

y = (4x^2 + C)/x

y = (4x^2)/x + C/x

y = 4x + Cx^(-1)

where C is a constant. In this case, C = -5 leads to a solution

y = 4x - 5x^(-1)

you can check this answer by deriving both sides with respect to x

dy/dx = 4 + 5x^(-2)

Then plugging this along with y = 4x - 5x^(-1) into the ODE given, and you should find it satisfies that equation.

6 0
3 years ago
PLEASE HELP WILL FOLLOW BACK AND RATE Use the table below of the function f(x) = x4 − 4x to answer this question:
inn [45]
The average rate of change is 4
6 0
3 years ago
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