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3 years ago

Solve for y (slope intercept form) 5x+2y=-10 &more

1 answer:

5 0

The equation in slope-intercept form:

5x+2y= -10
-5x -5x
___________
$\frac{2x}{2}$ = $\frac{-5x -10}{2}$

y= -2.5x -5

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(10.02)

melisa1 [442]

Answer:

$sin O=\dfrac{3\sqrt{13}}{13}\\cos O=\dfrac{2\sqrt{13}}{13}\\tan O=\dfrac{3}{2}$

Step-by-step explanation:

If the point (2,3) is on the terminal side of an angle in standard position.

Adjacent of O, x=2,

Opposite of O, y=3

Next, we determine the hypotenuse, r using Pythagoras Theorem.

$Hypotenuse =\sqrt{Opposite^2+Adjacent^2} \\r=\sqrt{3^2+2^2} \\r=\sqrt{13}$

Therefore:

$sin O=\dfrac{Opposite}{Hypotenuse} \\sin O=\dfrac{3}{\sqrt{13}} \\$Rationalizing\\sin O=\dfrac{3\sqrt{13}}{13}$

$cos O=\dfrac{Adjacent}{Hypotenuse} \\cos O=\dfrac{2}{\sqrt{13}} \\$Rationalizing\\cos O=\dfrac{2\sqrt{13}}{13}$

$Tan O=\dfrac{Opposite}{Adjacent} \\tan O=\dfrac{3}{2}$

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3 years ago

Mr. Lane is 6 feet 4 inches tall. His daughter, Mary, is 3 feet 8 inches shorter than her father. His son is 9 inches taller tha

algol [13]

2 feet and 1 in. Explanation is subtract 3’8 from 6’4 then add 9in too it. Feet can only go to 12in. But you’ll get 3’4. Then add 9 and you’ll get 3’13 so you’ll get 4’1 and then just subtract that from 6’4 and you get 2’1

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3 years ago

Read 2 more answers

Which comparisons are true? Select all that apply.

natita [175]

Answer: I get c, but double check on your end

Step-by-step explanation:

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2 years ago

Read 2 more answers

C. Make n subject of the formula<br>S= n/2 [2a + (n - 1)d]<br><br>please provide your working out

yKpoI14uk [10]

Answer:

$n=\frac{4as -2ds}{(1-2ds)}$

Step-by-step explanation:

$S= \frac{n}{2 [2a + (n - 1)d]}$

Simplifying the fraction by multiplying d into the (n-1) term,

$s=\frac{n}{2 [2a + (n - 1)d] } = \frac{n}{2[2a + dn - d] }$

Simplifying the fraction by multiplying 2 throughout,

$s= \frac{n}{4a + 2dn-2d}$

Multiply $(4a + 2dn-2d)$ on both sides

$(4a + 2dn-2d)s= \frac{n}{4a + 2dn-2d} (4a + 2dn-2d)$

Cancel the $(4a + 2dn-2d)$ on the right hand side

$(4a + 2dn-2d)s= n$

Multiply s to the terms,

$4as + 2dns-2ds= n$

Move $2dns$ to the right hand side by subtracting $2dns$ on both sides $4as + 2dns-2ds-2dns= n-2dns$

$4as -2ds= n-2dns$

On the right hand side of the equation, take out $n$

$4as -2ds= n(1-2ds)$

Divide Left hand side by $(1-2ds)$ ,

$n=\frac{4as -2ds}{(1-2ds)}$

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3 years ago

The probability that you will get grounded if you have a bad grade is 85%. The probability that you will get grounded and have e

alexandr402 [8]

If you are grounded, there are two options - you are only grounded or you have extra chores too. Therefore, at that point, there is a 100% chance of you already being grounded - we need to figure what percentage of 100 the extra chores is. To find that, we can do 50/85= around 59% percent

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3 years ago