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2 years ago

STRUCTURE Find the slope of the line that passes through the pair of points. (0,1) (1,-2)

Mathematics

2 answers:

dsp732 years ago

6 0

Answer:

-3

Step-by-step explanation:

Use formula

y2 - y1 / x2 - x1

Points - (0,1) (1,-2)

-2 - 1 / 1 - 0

-3 / 1

-3

Hope it helps.

Alinara [238K]2 years ago

3 0

Answer:

Slope = -3

Step-by-step explanation:

slope = (y2 - y1)/(x2-x1) = (-2 - 1)/(1-0) = -3/1 = -3

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In algebra, we often study relationships where a change to one variable causes change in another variable. Describe a situation

vampirchik [111]

Answer:

A familiar situation is: cost of books you pay for versus the quantity of books bought.

Cost of books ($) and quantity of books are directly proportionally related in the situation.

The graph will look like the graph in the attachment below.

A quantity (dependent variable) will change constantly in relation to another quantity (independent variable) if the relation is a proportional relationship.

A familiar situation for example can be the cost you pay for books will be directly proportional or dependent on the number of books you bought.

That is:

Number of books = independent variable

Cost ($) = dependent variable

A change in the number of books will cause a change in the cost you will pay for buying books.

This shows a direct proportional relationship between the two quantities.

On a straight line graph, the graph will be a proportional graph showing number of books on the x-axis against cost ($) you pay on the y-axis.

Therefore:

A familiar situation is: cost of books you pay for versus the quantity of books bought.

Cost of books ($) and quantity of books are directly proportionally related in the situation.

Step-by-step explanation:

hope this helps cutey ;)

3 0

2 years ago

<img src="https://tex.z-dn.net/?f=%5Cfrac%7B%5Csec%5Cleft%28x%5Cright%29%7D%7B%5Ccos%5Cleft%28x%5Cright%29%7D-%5Cfrac%7B%5Csin%5

DanielleElmas [232]

Answer:

Step-by-step explanation:

First, convert all the secants and cosecants to cosine and sine, respectively. Recall that $csc(x)=1/sin(x)$ and $sec(x)=1/cos(x)$ .

Thus:

$\frac{sec(x)}{cos(x)} -\frac{sin(x)}{csc(x)cos^2(x)}$

$=\frac{\frac{1}{cos(x)} }{cos(x)} -\frac{sin(x)}{\frac{1}{sin(x)}cos^2(x) }$

Let's do the first part first: (Recall how to divide fractions)

$\frac{\frac{1}{cos(x)} }{cos(x)}=\frac{1}{cos(x)} \cdot \frac{1}{cos(x)}=\frac{1}{cos^2(x)}$

For the second term:

$\frac{sin(x)}{\frac{cos^2(x)}{sin(x)} } =\frac{sin(x)}{1} \cdot\frac{sin(x)}{cos^2(x)}=\frac{sin^2(x)}{cos^2(x)}$

So, all together: (same denominator; combine terms)

$\frac{1}{cos^2(x)}-\frac{sin^2(x)}{cos^2(x)}=\frac{1-sin^2(x)}{cos^2(x)}$

Note the numerator; it can be derived from the Pythagorean Identity:

$sin^2(x)+cos^2(x)=1; cos^2(x)=1-sin^2(x)$

Thus, we can substitute the numerator:

$\frac{1-sin^2(x)}{cos^2(x)}=\frac{cos^2(x)}{cos^2(x)}=1$

Everything simplifies to 1.

7 0

2 years ago

Mr. Jensen makes salt dough using 1 cup of salt for every 3 cups of dough. Which graph represents the amount of salt in his doug

klio [65]

Answer:

The third graph

Step-by-step explanation:

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3 years ago

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Olives garden is only 10 yd and the watermelon plants she wants to grown requir 2.5yd each how many watermelon plants can she gr

olga_2 [115]

Answer:

Step-by-step explanation:

10÷2.5

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3 years ago

Nakeisha bought a pair of shorts online for $74. She used a coupon code to get a 10% discount.

AfilCa [17]

Answer:

the answer is 69.93

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2 years ago