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notsponge [240]
2 years ago
10

Slope is 9 and (−5, −1) is on the line. The equation of the line in point-slope form is:

Mathematics
1 answer:
Lemur [1.5K]2 years ago
7 0

Answer:

y + 1 = 9 (x + 5)

Step-by-step explanation:

point slope form is

y - y1 = m (x - x1)

replace the y1 with the y point, the x with the x point, and m with the slope

y - (-1) = 9 (x - (-5) )

now simplify

y + 1 = 9 (x + 5)

if you need slope intercept, just simplify more

distribute the 9 to the x and 5

y + 1 = 9x + 45

and subtract the 1 from both sides

y = 9x + 44

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saul85 [17]
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6c = 30   Divide both sides by 6
c = 5   
7 0
3 years ago
Evaluate tan ( cos^-1 ( 1/8 ) ) , giving your answer as an exact value (no decimals)
vekshin1

\bf cos^{-1}\left( \cfrac{1}{8} \right)=\theta \qquad \qquad cos(\theta )=\cfrac{\stackrel{adjacent}{1}}{\stackrel{hypotenuse}{8}}\impliedby \textit{let's find the \underline{opposite}} \\\\\\ \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies \sqrt{c^2-a^2}=b \qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases} \\\\\\ \pm\sqrt{8^2-1^1}=b\implies \pm\sqrt{63}=b ~\hfill tan(\theta )=\cfrac{\stackrel{opposite}{\pm\sqrt{63}}}{\stackrel{adjacent}{1}} \\\\\\ ~\hspace{34em}


\bf \stackrel{\textit{keeping in mind that}}{tan\left(cos^{-1}\left( \frac{1}{8} \right) \right)}\implies tan(\theta )

5 0
3 years ago
What is an equation in point slope form of the line shown in the graph using the point (2,2)
Eddi Din [679]

Answer:

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5 0
3 years ago
Order these objects from heaviest to lightest. (Note: 1 pound = 16 ounces, 1 kilogram ≈ 2.2 pounds ,and 1 Tom = 2,000 pounds) it
Leya [2.2K]

Answer:

Ordering of objects from heaviest to lightest are  ⇒ <u> school bus weight 9 tons, elephant 5,500 kilograms, horse 1,100 pounds and grand piano 15,840 ounces.</u>

Step-by-step explanation:

Given:

School bus weight = 9 tons.

Horse = 1,100 pounds.

Elephant = 5,500 kilograms.

Grand piano = 15,840 ounces.

Now, order these objects from heaviest to lightest.

So, we need to take a common unit to order the items:

Thus, we take pounds as a common unit.

16 ounces = 1 pound.

1 kilogram = 2.2 pounds.

1 ton = 2,000 pounds.

Then, we calculate the weight of all items in pounds:

School bus 9 tons  =9\times 2000=18000\ pounds.

Horse 1100 pounds  =1100\ pounds.

Elephant 5500 kilograms  =5500\times 2.2=12100\ pounds.

Grand piano 15840 ounces  =15840\div 16=990\ pounds

According to question:

Ordering from heaviest to lightest:

<em>School bus = 18000 pounds, elephant = 12100 pounds, horse = 1100 pounds and grand piano = 990 pounds.</em>

Therefore, ordering of objects from heaviest to lightest are  ⇒  school bus weight 9 tons, elephant 5,500 kilograms, horse 1,100 pounds and grand piano 15,840 ounces.

7 0
3 years ago
Betty can drive her car 400 miles at a steady speed using 20 gallons of gasoline. at this rate how many gallons of gas will she
ch4aika [34]

Answer:

80 gal

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Vol. of gas = 1600 ×1/20

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Betty will use 80 gal of gas.

6 0
3 years ago
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