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3 years ago

Ab is perpendicular to cd how many 90 angles are formed by the intersection

Mathematics

1 answer:

Shtirlitz [24]3 years ago

3 0

Only one unless it goes across than2

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Obtain the general solution to the equation. (x^2+10) + xy = 4x=0 The general solution is y(x) = ignoring lost solutions, if any

alukav5142 [94]

Answer:

$y(x)=4+\frac{C}{\sqrt{x^2+10}}$

Step-by-step explanation:

We are given that a differential equation

$(x^2+10)y'+xy-4x=0$

We have to find the general solution of given differential equation

$y'+\frac{x}{x^2+10}y-\frac{4x}{x^2+10}=0$

$y'+\frac{x}{x^2+10}y=4\frac{x}{x^2+10}$

Compare with

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

We get

$P(x)=\frac{x}{x^2+10}$

$Q(x)=\frac{4x}{x^2+10}$

I.F= $e^{\int\frac{x}{x^2+10} dx}=e^{\frac{1}{2}ln(x^2+10)}$

$e^{ln\sqrt(x^2+10)}=\sqrt{x^2+10}$

$y\cdot \sqrt{x^2+10}=\int \frac{4x}{x^2+10}\times \sqrt{x^2+10} dx+C$

$y\cdot \sqrt{x^2+10}=\int \frac{4x}{\sqrt{x^2+10}}+C$

$y\cdot \sqrt{x^2+10}=4\sqrt{x^2+10}+C$

$y(x)=4+\frac{C}{\sqrt{x^2+10}}$

6 0

3 years ago

1 point

tekilochka [14]

Answer:

$6.03

Step-by-step explanation:

Let's begin by listing out the given variables:

height (h) = 12 cm, diameter (d) = 8 cm, r = d ÷ 2 ⇒ r = 4 cm, cost of coconut oil (c) = $0.01 /cm³

The formula of cylinder is given by:

V = πr²h = π * 4² * 12 = <u>603.1858 cm³</u>

cost of filling the tin can with coconut oil = cost of coconut oil * Volume of cylinder

Cost = c * V = 0.01 * 603.1858

Cost = $<u>6.03</u>

5 0

3 years ago

PLS HELP TIMED HW WILL GIVE BRAINLEIST

pochemuha

Answer:

4.8

Step-by-step explanation:

$V_{sphere} = \frac{4}{3} \pi r^3$

$144\pi= \frac{4}{3} \pi r^3$

$r^3 = \frac {3 \times 144\pi}{4\pi}$

$r^3 = 3 \times 36$

$r^3 = 108$

$r = \sqrt[3]{108} \\ \\ r = 4.7622031559 \\ \\ r \approx \: 4.8 \:$

4 0

3 years ago

For a random sample of 20 professional athletes, there is a strong, linear relationship between the number of hours they exercis

QveST [7]

Answer:

D) -0.87

Step-by-step explanation:

I took this test don't quote me on the answer but this is what my peers put.

6 0

3 years ago

The complement of (10 Points)

loris [4]

Answer:

..?

Step-by-step explanation:

6 0

3 years ago

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