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3 years ago

Remove parameter y=bsintheta x=bsectheta

1 answer:

8 0

$\bf \begin{cases}
y=bsin(\theta)\\\\
x=bsec(\theta)\implies \frac{x}{sec(\theta)}=\boxed{b}\\
----------\\
y=\boxed{\frac{x}{sec(\theta)}}sin(\theta)
\end{cases}
\\\\\\
\textit{and you can simplify it further if you want}
\\\\\\

y=\cfrac{xsin(\theta)}{\frac{1}{cos(\theta)}}\implies y=\cfrac{xsin(\theta)}{1}\cdot \cfrac{cos(\theta)}{1}\implies y=xsin(\theta)cos(\theta)$

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Identify an equation in slope-intercept from for the line parallel to y=-3x + 7 that passes through (2, -4)

alexandr1967 [171]

The slope-intercept form:

y = mx + b

m - slope

b - y-intercept

The parallel lines have the same slope.

We have y = -3x + 7 → m = -3. Therefore y = -3x + b.

Put the coordinates of the point (2, -4) to the equation of a line:

$-4=-3(2)+b$

$-4=-6+b$ <em>add 6 to both sides</em>

$2=b\to b=2$

<h3>Answer: y = -3x + 2</h3>

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2 years ago

Is the relationship shown by the data linear? If so, model the data with an equation.

zhenek [66]

Answer:

Therefore the equation of the line through ( -7 , 5 ) and ( -5 , 9) is

Linear Relationship i.e $y-5=2(x+7)$

Step-by-step explanation:

Given:

Let,

point A( x₁ , y₁) ≡ ( -7, 5 )

point B( x₂ , y₂) ≡ (-5, 9)

To Find:

Equation of Line AB =?

Solution:

Equation of a line passing through Two points A( x₁ , y₁) and B( x₂ , y₂)is given by the formula

$(y - y_{1} )=(\frac{y_{2}-y_{1} }{x_{2}-x_{1} })\times(x-x_{1}) \\$

Substituting the given values in a above equation we get

$(y-(5))=(\frac{9-(5)}{-5--7})\times (x--7)\\ \\(y-5)=\frac{4}{2}(x+7)\\\\y-5=2(x+7)...............\textrm{which is the required equation of the line AB}$

Therefore the equation of the line through ( -7 , 5 ) and ( -5 , 9 ) is

Linear Relationship i.e $y-5=2(x+7)$

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3 years ago

Y is a number such that 6y = 12

nataly862011 [7]

6y = 12
y = 12/6
y = 2

:)

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3 years ago

If the sales tax in your city is 5.6% and an item costs$76 before tax, how much tax would you pay on that item? Round to the nea

bagirrra123 [75]

To find the amount of money you pay for tax, you have to multiply the price of the product by the percentage of the tax, then divide it by 100. in this case, 76x5.6=425.6/100=4.256 which is $4.26 (to the nearest cent)

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3 years ago

Read 2 more answers

I don’t get the second question.

tatyana61 [14]

it should be 3+(-7) because look at the number closest to the number line, which is positive 3 then the number next to it is negative 7 because it is heading downward towards the opposing side.

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3 years ago