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3 years ago

A line passes through the points (0, –7) and (5, –10). What is its equation in slope-intercept form?

Mathematics

1 answer:

ankoles [38]3 years ago

5 0

<h2>Answer: Step-by-step explanation</h2><h3>STEP 1</h3>

$slope = \frac{rise}{run}\\\\m = \frac{y2 - y1}{x2 - x1}$

<h3 /><h3>STEP 2</h3><h3>Substitute point values into the slope equation.</h3><h3> $m = \frac{10 - 7}{5 - 0} = \frac{3}{5}$ </h3><h3></h3><h3>STEP 3</h3><h3>Point-slope form.</h3><h3> $y - y1 = m (x - x1)$ </h3><h3></h3><h3>STEP 4</h3><h3>Substitute any point on the line and the slope for x1, y1, m</h3><h3> $y - 7 = \frac{3}{5} (x - 0)$ </h3><h3></h3><h3>Result</h3><h3> $\\y - 7 = \frac{3}{5}x$ </h3>

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Which of the following trigonometric ratios are correct?

notka56 [123]

9514 1404 393

Answer:

D, F

Step-by-step explanation:

The mnemonic SOH CAH TOA can help you with this. It reminds you ...

Sin = Opposite/Hypotenus

sin(40°) = x/b . . . . matches D

Cos = Adjacent/Hypotenuse

<em> cos(40°) = a/b . . . . no match</em>

Tan = Opposite/Adjacent

tan(40°) = x/a . . . . matches F

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3 years ago

The Zoo charges $14 per visit for non-members. To become a member of the Zoo you will be charged a $36 one-time fee $2 per visit

AleksandrR [38]

Answer:

Step-by-step explanation:

You divide the number of visits and the price. 14÷2=7

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3 years ago

Which products result in a difference of squares? Check all that apply.

Amanda [17]

Answer:

2nd - (w - 5)(w + 5)

4th - (-4v - 9)(-4v + 9)

Step-by-step explanation:

1. The first option shows an expression multiplied by its opposite(x -1), so therefore, it does not show the difference of squares

2. The second option does show the difference of squares because it is in the form (a + b)(a - b)

3. The third option is just a square because the same expression is multiplied by itself.

4. The fourth option is the difference of squares because it is in the form (a + b)(a - b). a equals -4v and b equals 9 in this case.

5. The fifth option is not the difference of squares. No term in common in both expressions

6. The sixth option is just a square because the same expression is multiplied by itself.

In all, there are two options that are the difference of squares, the 2nd and 4th.

5 0

3 years ago

Find the value of x. Round the length to the nearest tenth.

Mamont248 [21]

From right triangle trigonometry, we have the following:

$\displaystyle{ tan(35^o)= \frac{opposite \ side }{adjacent \ side }$ ,

where the "opposite side" means the opposite side to angle with measure $35^o$ , and "adjacent side" means the adjacent side to angle with measure $35^o$ .

$tan(35^o)$ is a constant which can be found using a calculator.

In the calculator of the pc press: view - scientific - 35 - tan.

This gives $tan(35^o)=0.7$

Thus, back in the equation $\displaystyle{ tan(35^o)= \frac{opposite \ side }{adjacent \ side }$ we substitute as follows and solve:

$\displaystyle{0.7= \frac{x }{12 }\\\\$

$x=0.7\cdot12=8.4$

Answer: 8.4 cm

5 0

3 years ago

Read 2 more answers

If I multiply the numbers of the last three pages of the book, I get the product of 23,639,616. How many pages does the book hav

zepelin [54]

Answer:

286,287,288

Step-by-step explanation:

(x)(x+1)(x+2)=23639616

x^3+3x^2+2x=23639616

After solving the equations, you should get the answers.

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3 years ago