All categories

3 years ago

Find the equation of the line whose slope is -3 and which passes through the point (-5, 3)

Mathematics

1 answer:

nadezda [96]3 years ago

4 0

Answer:

y=-3x-12

Step-by-step explanation:

Plug into equation y=mx+b

3=(-3)-5+b

Simplify

3=15+b

Subtract 15 from both sides

-12=b

Add slope and y-intercept into base equation

y=-3x-12

You might be interested in

What is the equation of the line which passes through the points (0,−3) and (2, 1)

Roman55 [17]

Answer:

y=2x-3

Step-by-step explanation:

i hope this is right plz tell me if this is wrong

5 0

3 years ago

Read 2 more answers

Suppose you invest $2000 at an annual interest rate of 4.9% compounded continuously. How much will you have in the account after

saul85 [17]

To find this we will first find out how much interest they accrued within 20 years. We'll do that by multiplying all the given factors:

2000 x 0.049 x 20 = 1960
This shows they have made $1,960 in accrued interest. We'll add this sum by the original deposit they made of $2,000.

2000 + 1960 = 3960

In the end of 20 years of accrued interest, the person will have a total of $3,960 in their account.

5 0

3 years ago

2root3 sin^<a href="/cdn-cgi/l/email-protection" class="__cf_email__" data-cfemail="ac9eec">[email protected]</a> - <a href

Phantasy [73]

Answer:

Step-by-step explanation:

$2\sqrt{3} sin^{2} \alpha -cos\alpha =0\\2\sqrt{3} (1-cos ^2 \alpha )-cos \alpha =0\\2\sqrt{3} -2\sqrt{3} cos^2 \alpha -cos \alpha =0\\2\sqrt{3} cos^2 \alpha +cos \alpha -2\sqrt{3} =0\\cos \alpha =\frac{-1 \pm\sqrt{1^2-4*2\sqrt{3}*(-2\sqrt{3}) } }{2*2\sqrt{3} } \\=\frac{-1 \pm\sqrt{1+48} }{4\sqrt{3} } \\=\frac{-1\pm7}{4\sqrt{3} } \\either~cos \alpha =\frac{6}{4\sqrt{3} }=\frac{\sqrt{3} }{2} \\=cos \frac{\pi }{6} ,cos(2\pi -\frac{\pi }{6} )\\=cos \frac{\pi}{6} ,cos \frac{11\pi }{6}$

$\alpha =2 n\pi+ \frac{\pi }{6} ,2n\pi +\frac{11\pi }{6} (general~solution)$

$or~cos\alpha =-\frac{7}{4\sqrt{3} } \\ \alpha =cos^{-1}( \frac{-7}{4\sqrt{3} } )$

5 0

3 years ago

There are three cardinals, five sparrows and four finches near a bird feeder. If a sharp shunned hawk randomly selects one song

Hoochie [10]

Answer:

1/4

Step-by-step explanation:

The probability of it being a cardinal is the number of cardinals / the total number of possible birds the hawk could eat.

There are 3 + 5 + 4 = 12 total birds near the bird feeder.

There are 3 cardinals.

So the probability is 3/12 = 1/4 that the cardinal is eaten!

8 0

3 years ago

A red token is worth twice as much as an orange token. An orange token is worth 5 less a yellow token. A yellow token is worth 1

Romashka-Z-Leto [24]

Answer:

Step-by-step explanation:

Let r represent red token,

Let o represent orange token,

Let y represent yellow token

Let g represent green token,

A red token is worth twice as much as an orange token. It means that

r = 2o

An orange token is worth 5 less a yellow token. It means that

o = y - 5

A yellow token is worth 15 less than a green token. It means that

y = g - 15

A green token is worth half as much as a blue token. It means that

g = b/2

a blue token is worth B. Therefore, the worth of a yellow token in terms of B would be

Substituting g = B/2 into y = g - 5, it becomes

y = B/2 - 15

7 0

3 years ago