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svp [43]
2 years ago
13

What is the equation of the line that passes through the point (6,3) and has a slope of -1/3

Mathematics
1 answer:
bezimeni [28]2 years ago
8 0

Answer:

y = -1/3x + 5

Step-by-step explanation:

y = -1/3x + b

3 = -1/3(6) + b

3 = -2 + b

b = 5

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Maria has a 30% coupon for her $60 dollar jeans, what is the new price
yKpoI14uk [10]

Answer:

$42

Step-by-step explanation:

Since she has a 30% coupon, the new price of the jeans will be 30% of the original price subtracted from the original price

Original price = $60

Therefore

30% of $60

Make 30% a decimal

30/100 x $60

0.3 x $60 = $18

New price = $60 - $18

= $42

The new price for the jeans is $42

3 0
3 years ago
Read 2 more answers
Verify the identity
Igoryamba

Answer:

We have to prove

sin⁡(α+β)-sin⁡(α-β)=2 cos⁡ α sin ⁡β

We will take the left hand side to prove it equal to right hand side

So,

=sin⁡(α+β)-sin⁡(α-β)      Eqn 1

We will use the following identities:

sin⁡(α+β)=sin⁡ α cos⁡ β+cos⁡ α sin⁡ β

and

sin⁡(α-β)=sin⁡ α cos ⁡β-cos ⁡α sin ⁡β

Putting the identities in eqn 1

=sin⁡(α+β)-sin⁡(α-β)

=[ sin⁡ α cos ⁡β+cos⁡ α sin⁡ β ]-[sin⁡ α cos ⁡β-cos ⁡α sin ⁡β ]

=sin⁡ α cos⁡ β+cos⁡ α sin ⁡β- sin⁡α cos⁡ β+cos ⁡α sin ⁡β

sin⁡α cos⁡β will be cancelled.

=cos⁡ α sin ⁡β+ cos ⁡α sin ⁡β

=2 cos⁡ α sin ⁡β  

Hence,

sin⁡(α+β)-sin⁡(α-β)=2 cos ⁡α sin ⁡β

8 0
3 years ago
True or false: if a > b then ac > bc
Ket [755]

Answer: true

Step-by-step explanation:

6 0
2 years ago
What is the first step in evaluating the expression shown below?
Olegator [25]

Answer:

A

Step-by-step explanation:

because it is is parenthesis

8 0
3 years ago
Given that P=x+y<br>Find P when:<br>x=11and y=6<br>what is p ?​
frutty [35]

Answer:

P = 17

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction

Step-by-step explanation:

<u>Step 1: Define</u>

P = x + y

x = 11

y = 6

<u>Step 2: Evaluate</u>

  1. Substitute:                    P = 11 + 6
  2. Add:                              P = 17

And we have our final answer!

4 0
2 years ago
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