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3 years ago

Write the slope-intercept form of the equation

Mathematics

1 answer:

evablogger [386]3 years ago

8 0

Answer:

y = -x-5

your welcome!

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Robert buys a new pair of boots for 120 dollars. Sales tax is

Margarita [4]

Answer: $133.20

Step-by-step explanation: To simply find the sales tax all you have to do is:

Step 1 Multiply: 120 x .11 = 13.2

Step 2 Add: 120 + 13.2 = 132.2

So Robert actually has to pay $133.20

7 0

3 years ago

Find the solution of the differential equation that satisfies the given initial condition. y' tan x = 3a + y, y(π/3) = 3a, 0 &lt

Paladinen [302]

Answer:

$y(x)=4a\sqrt{3}* sin(x)-3a$

Step-by-step explanation:

We have a separable equation, first let's rewrite the equation as:

$\frac{dy(x)}{dx} =\frac{3a+y}{tan(x)}$

But:

$\frac{1}{tan(x)} =cot(x)$

So:

$\frac{dy(x)}{dx} =cot(x)*(3a+y)$

Multiplying both sides by dx and dividing both sides by 3a+y:

$\frac{dy}{3a+y} =cot(x)dx$

Integrating both sides:

$\int\ \frac{dy}{3a+y} =\int\cot(x) \, dx$

Evaluating the integrals:

$log(3a+y)=log(sin(x))+C_1$

Where C1 is an arbitrary constant.

Solving for y:

$y(x)=-3a+e^{C_1} sin(x)$

$e^{C_1} =constant$

So:

$y(x)=C_1*sin(x)-3a$

Finally, let's evaluate the initial condition in order to find C1:

$y(\frac{\pi}{3} )=3a=C_1*sin(\frac{\pi}{3})-3a\\ 3a=C_1*\frac{\sqrt{3} }{2} -3a$

Solving for C1:

$C_1=4a\sqrt{3}$

Therefore:

$y(x)=4a\sqrt{3}* sin(x)-3a$

3 0

3 years ago

6th grade math i mark as brainliest

Advocard [28]

Step-by-step explanation:

Use PEMDAS

$\begin{array}{ccc}214.8-(4^2+3)\times4&\\214.8-(16+3)\times4&Evaluate\\214.8-19\times4&Add\\214.8-76&Multiply\\138.8&Subtract\end{array}$

6 0

3 years ago

Evaluate the diagram below. Find the measures of Angles A, B, C, and D.

laiz [17]

Answer:

A: 65° B: 65° C: 125° D: 125°

Step-by-step explanation:

It is an equilateral(shown by the two dashes) and all angles in a triangle add up to 180°.

180-50 divided by 2 to give you A and B angles.

Then angled on a straight line add up to 180° so if you take angle A away from 180° you will get the answer to angle C.

The same for angle D.

5 0

3 years ago

Simplify to standard form<br> (2x +4) + (-7 – 3b) + (5 – 8x)

docker41 [41]

Answer:

−3b−6x+2

Step-by-step explanation:

2x+4−7−3b+5−8x

=2x+4+−7+−3b+5+−8x

Combine Like Terms:

=2x+4+−7+−3b+5+−8x

=(−3b)+(2x+−8x)+(4+−7+5)

=−3b+−6x+2

8 0

3 years ago