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xz_007 [3.2K]
3 years ago
7

A line contains the point (4, 2) and has a slope of −3.

Mathematics
1 answer:
Naya [18.7K]3 years ago
8 0

Answer: the equation is y = - 3x + 14

Step-by-step explanation:

The equation of a straight line can be represented in the slope intercept form as

y = mx + c

Where

c represents the y intercept

m represents the slope of the straight line.

The slope of the given line is - 3 and it contains the point (4, 2)

To determine the y intercept, we would substitute m = - 3, x = 4 and

y = 2 into y = mx + c. It becomes

2 = - 3 × 4 + c

2 = - 12 + c

c = 12 + 2

c = 14

The equation becomes

y = - 3x + 14

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Two stores offer differently priced sales for the same paper towels, according to the table below. Which store offers the better
blondinia [14]
Answer:
Store 1 has the better deal.

Explanation:
If you divide the amount the prices by the amount of paper towel roll, you would see store 1 has the better deal.

3.60 divided by 12 = 0.30
3.50 divided by 10 = 0.35

As you can see, store 1 is less expensive than store 2. Therefore, store 1 is the better deal.
7 0
3 years ago
Verifying Trig Functions
anzhelika [568]

Answer:

The answer to your question is below

Step-by-step explanation:

                csc α - cot α = \frac{sin \alpha }{1 + cos \alpha }

Work with the left part

                \frac{1}{sin\alpha } - \frac{cos \alpha }{sin \alpha}

Simplify

                \frac{1 - cos\alpha }{sin\alpha }

Multiply by the reciprocal

 \frac{1 - cos\alpha }{sin \alpha } x \frac{1 + cos\alpha }{1 + cos\alpha }                                  

Simplify

\frac{1 - cos^{2}\alpha}{sin\alpha (1 + cos\alpha)}

Remember that

                 sin²α = 1 -cos²α

Substitute the previous equation

\frac{sin^{2}\alpha }{sin\alpha(1 + cos\alpha ) }

Simplify

\frac{sin\alpha}{1 + cos \alpha}      

The identity i proved.            

5 0
4 years ago
Three ratios equivalent to 11/1
Damm [24]

Answer:

21 2

33 3

44 4

Step-by-step explanation:

think of them as equivalent fractions

8 0
4 years ago
Read 2 more answers
Find the second of two consecutive integers if the second is 13 less than twice the first.
emmasim [6.3K]
What is the range in which the integers can be in? I cannot fully answer this question. But I think there could be more than one answer. One answer would be the first is 36 and the second is 66.

Hope this helps!
Can u plz mark me as brainliest? I really need it!
4 0
3 years ago
A student says that the sum difference, product and quotient of two
anastassius [24]

Answer:

The quotient of two integers may not always be an integer.

Therefore, I do not agree when a student says that the sum difference, product, and quotient of two are always integers.

Step-by-step explanation:

The student is not largely correct!

The sum, difference, and product of two integers is indeed always an integer.

But, the quotient of two integers may not always be an integer.

  • For example, the quotient of integers 4 and 2 will be an integer.

i.e.

4/2 = 2

  • But, if we take the quotient of 2 and 3, the result will not be an integer.

i.e.

2/3 = 0.67

Therefore, I do not agree when a student says that the sum difference, product, and quotient of two are always integers.

7 0
3 years ago
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