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3 years ago

BRAINLIEST

Mathematics

1 answer:

9966 [12]3 years ago

7 0

Answer:

y+1=(x+7)/3

Step-by-step explanation:

slope = (-1-3)/(-7-5) = -4/-12 = 1/3

b = 3-(1/3)×5 = 4/3

y = mx+b

or, y = x/3+4/3

its point slope form,

y = x/3+4/3

or, y=(x+4)/3

or, y+1=(x+4)/3+1

or, y+1=(x+4+3)/7

or, y+1 =(x+7)/3

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The buyer for a chain of stores purchased lawn ornaments in bulk, paying $23 each. The stores will sell each lawn ornament for $

Naya [18.7K]

Answer:

The markup percentage is 61.2

Step-by-step explanation:

Given as :

The cost price of each ornaments = $23

The sell price of each ornament = $37.08

Let The markup percentage = x

Now, According to question

Markup percentage = $\dfrac{s.p - c.p}{c.p}$ × 100

Or, x% = $\dfrac{37.08 - 23}{23}$

Or, x% = $\dfrac{14.08}{23}$

Or, x% = 0.612

∴ x = 0.612 × 100

I.e x = 61.2

So, The The markup percentage = x = 61.2

Hence, The markup percentage is 61.2 Answer

8 0

3 years ago

Prove the following identity : Sin α . Cos α . Tan α = (1 – Cos α) (1 + Cos α)

Umnica [9.8K]

Let's work on the left side first. And remember that
the tangent is the same as sin/cos.

sin(a) cos(a) tan(a)

Substitute for the tangent:

[ sin(a) cos(a) ] [ sin(a)/cos(a) ]

Cancel the cos(a) from the top and bottom, and you're left with

[ sin(a) ] . . . . . [ sin(a) ] which is [ sin²(a) ] That's the left side.

Now, work on the right side:

[ 1 - cos(a) ] [ 1 + cos(a) ]

Multiply that all out, using FOIL:

[ 1 + cos(a) - cos(a) - cos²(a) ]

= [ 1 - cos²(a) ] That's the right side.

Do you remember that for any angle, sin²(b) + cos²(b) = 1 ?
Subtract cos²(b) from each side, and you have sin²(b) = 1 - cos²(b) for any angle.

So, on the right side, you could write [ sin²(a) ] .

Now look back about 9 lines, and compare that to the result we got for the left side .

They look quite similar. In fact, they're identical. And so the identity is proven.

Whew !

4 0

3 years ago

Read 2 more answers

to make a shade of plant called Jasper Green, Mix 4 quarts of green paint with 2/3 cups of black paint. how much green paint sho

r-ruslan [8.4K]

Answer

24 quarts of green paint should be mixed with 4 cups of black paint.

That is (96 cups)

Step by step explanation

Jasper Green mix 4 quarts of green paint with 2/3 cups of black paint.

Let's convert 4 quarts into cups.

1 quart = 4 cups

4 quarts = 16 cups

Here mix 16 cups of green paint with 2/3 cups of black paint.

Let's use the proportion

Green paint Black paint

16 2/3

x 4

16/x =2/3 divided by 4

$\frac{16}{x} = \frac{2/3}{4}$

Cross multiplying, we get

16*4 = 2/3 x

64 = 2/3 x

x = 64/(2/3)

x = 64 * 3/2

x = 192/2

x = 96 cups

96 cups of green paint should be mixed with 4 cups of black paint.

We can covert 96 cups into quarts by dividing by 4

96/4 = 24 quarts

24 quarts of green paint should be mixed with 4 cups of black paint.

Thank you.

4 0

3 years ago

Read 2 more answers

Identify each number as rational or irrational.

ratelena [41]

Step-by-step explanation:

sorry answer ia not clear

3 0

3 years ago

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Akimi4 [234]

Idk you kno I am trying to get points right

3 0

3 years ago