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ch4aika [34]
3 years ago
8

write an equation in point-slope form for the line through the given point with the given slope (10,-9);m=-2​

Mathematics
1 answer:
fgiga [73]3 years ago
5 0

Answer:

The answer is

<h2>y + 9 =  - 2(x - 10)</h2>

Step-by-step explanation:

To find the equation of a line given a point and slope we use the formula

<h3>y - y1 = m(x - x1)</h3>

where

m is the slope

( x1 , y1) is the point

From the question

Slope / m = - 2

The point is ( 10, - 9)

Substitute the values into the above formula

That's the final answer is

<h3>y + 9 =  - 2(x - 10)</h3>

Hope this helps you

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900

Step-by-step explanation:

Hope it helps plz give brainliest! :D

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The amount of chlorine in a swimming pool is proportional to the volume of water. The pool has 2.5 milligrams of chlorine per li
stira [4]

Answer:

There are <u>20,000 milligrams</u> chlorine in the pool.

Step-by-step explanation:

Given:

The chlorine per liter of water in the pool is 2.5 milligrams.

The  volume of water in the swimming pool is 8000 gallons.

Now, to find the quantity of chlorine in the pool.

Let the quantity of chlorine be x.

The gallons of water in the swimming pool = 8000.

The milligrams of chlorine per liter of water in the pool = 2.5.

According to question, the amount of chlorine in the swimming pool is proportional to the volume of water.

So, 2.5 mg of chlorine is equivalent to 1 liter.

Thus, x is equivalent to 8000.

Now, to get the quantity of chlorine by using cross multiplication method:

\frac{2.5}{1} =\frac{x}{8000}

<em>By cross multiplying we get:</em>

20000=x\\\\x=20,000\ mg.

Therefore, there are 20,000 milligram chlorine in the pool.

6 0
3 years ago
A rock climber's elevation above sea level changed −8212 feet in 214 minutes as she descended. What was the climber's average ch
stich3 [128]
Elevation per minute

elevationchange=-8212
timechange=214

elevation per minute=-8212/214=
-8132/214-80/214=
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6 0
3 years ago
What is the fraction for 1.83
hram777 [196]
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8 0
3 years ago
Bethany wants to estimate the value of (4.296 times 10 Superscript 11) (1.8614 times 10 Superscript negative 14). Which statemen
avanturin [10]

Answer:

D. The number will be less than 1 because when adding the exponents,

11 + (-14) = -3, and a number in scientific notation with a negative exponent is less than 1.

Step-by-step explanation:

The question lacks appropriate option. Find the options below;

A. The value will be greater than 1 because 4.296 x 10^11 is a very large number and multiplication always increases the size of a number.

B. The value will be greater than 1 because 4 x 2 = 8 and 8 is larger than 1.

C. The value will be less than 1 because (4.296 x 10^11) x (1.8614 x 10^-14) will be a negative number. All negative numbers are less than one.

D. The number will be less than 1 because when adding the exponents,

11 + (-14) = 3, and a number in scientific notation with a negative exponent is less than 1.

Given the expression (4.296*10^{11})(1.8614*10^{-14}), to expand the expression we will apply some of the law of indices below. If a, b and m are integers

a^m*a^n = a^{a+m}

= (4.296*10^{11})(1.8614*10^{-14})\\\\= (4.296*1.8614)(10^{11}*10^{-14}) \\\\= 7.9965744 * 10^{11}*10^{-14}\\sum \ up \ the\  power\ of\ the \ exponents\\\\=  7.9965744 *10^{11-14}\\\\= 7.9965744 *10^{-3}\\

= 0.0079965744

<em>Based on the result, it can be seen that the resulting value is less than 1 due to the negative power of its exponent (i.e -3). Any scientific notation having a negative exponent always returns a value that is less than 1.</em>

4 0
3 years ago
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