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2 years ago

write the linear equation in slope-intercept form passing through the point with the given slope (1,3) and (-3,-5)

Mathematics

1 answer:

igor_vitrenko [27]2 years ago

3 0

Answer:

y = 2x + 1

Step-by-step explanation:

本题已由中国数学会官方解答（现有会员：3人）

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What is the least common multiple (LMC) of 8 and 12?

IRINA_888 [86]

Hey There!

If i am doing this the least common multiple can either be
2 or 4.
thus being
2, 4, 6, 8, 10, 12
Or
4, 8, 12.

Hope This Helps!!!

3 0

2 years ago

.5n-9=4n+5 pls i need help

Oksana_A [137]

Hi there,

5n - 9 + 4n + 5
5n - 4n = 5 + 9

Hence, N = 14

Hope this helps :)

3 0

2 years ago

Use separation of variables to solve dy dx − tan x = y2 tan x with y(0) = √3. Find the value of c in radians, not degrees

a_sh-v [17]

Answer:

$y(x)=tan(-log(cos(x))+\frac{\pi }{3} )$

Step-by-step explanation:

Rewrite the equation as:

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

Isolating $\frac{dy}{dx}$

$\frac{dy}{dx} =tan(x)+tan(x)*y^{2}$

Factor:

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

Dividing both sides by $(1+y^{2} )$ and multiplying them by $dx$

$\frac{dy}{1+y^{2} } =tan(x)dx$

Integrate both sides:

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

Evaluate the integrals:

$arctan(y)=-log(cos(x))+C_1$

Solving for y:

$y(x)=tan(-log(cos(x))+C_1)$

Evaluating the initial condition:

$y(0)=\sqrt{3} =tan(-log(cos(0))+C_1)=tan(-log(1)+C_1)=tan(0+C_1)$

$\sqrt{3} =tan(C_1)\\arctan(\sqrt{3} )=C_1\\60=C_1$

Converting 60 degrees to radians:

$60degrees*\frac{\pi }{180degrees} =\frac{\pi }{3}$

Replacing $C_1$ in the diferential equation solution:

$y(x)=tan(-log(cos(x))+\frac{\pi }{3} )$

3 0

2 years ago

A jacket costs 50$ at the store Evan has a coupon for 15$ off.Max pays only 0.6 of the price because his father works at the sto

Arturiano [62]

Answer:

Step-by-step explanation:

The original price of the jacket at the store is $50.

Evan has a coupon for 15$ off. This means that the amount that Evans will pay is the original price - 15% of the original price. It becomes

50 - (15/100 × 50) = 50 - 7.5 = $42.5

Max pays only 0.6 of the price because his father works at the store.

This means that the amount that Max will pay is 0.6 × the original price. It becomes

0.6 × 50 = $30

Max will pay the least amount because his amount is smaller

6 0

2 years ago

T is the solution to the equation x + 16 = 64? x = 4 x = 32 x = 36 x = 47

zheka24 [161]

x + 16 = 64 |subtract 16 from both sides

x = 48

8 0

3 years ago

Read 2 more answers