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3 years ago

Which is an equation in point-slope form for the given point and slope? Point: (5, 9); Slope: 2

1 answer:

7 0

$(\stackrel{x_1}{5}~,~\stackrel{y_1}{9})~\hfill \stackrel{slope}{m}\implies 2 ~\hfill \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{9}=\stackrel{m}{2}(x-\stackrel{x_1}{5})$

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Complete the factoring.<br> 3y+30=3(3)

Dmitriy789 [7]

3(y+10) = 3(3). For additional simplification, the answer may be written as
y+10 = 3

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4 years ago

1.62 divided by 0.27

Dominik [7]

Answer:

it is 6

Step-by-step explanation:

i did this in one of my test so i know its right also because i doulbe checked it.

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4 years ago

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4 years ago

Which two values of x are roots of the polynomial below?<br> 3x2-3x+1

QveST [7]

Answer:

The roots are

$x=\frac{1}{6} [3+ i\sqrt{3}]$

$x=\frac{1}{6} [3- i\sqrt{3}]$

Step-by-step explanation:

we have

$3x^2-3x+1$

The formula to solve a quadratic equation of the form

$ax^{2} +bx+c=0$

is equal to

$x=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$3x^2-3x+1=0$

$a=3\\b=-3\\c=1$

substitute in the formula

$x=\frac{-(-3)\pm\sqrt{-3^{2}-4(3)(1)}} {2(3)}$

$x=\frac{3\pm\sqrt{-3}} {6}$

Remember that

$i=\sqrt{-1}$

$x=\frac{1}{6} [3\pm i\sqrt{3}]$

The roots are

$x=\frac{1}{6} [3+ i\sqrt{3}]$

$x=\frac{1}{6} [3- i\sqrt{3}]$

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3 years ago

The balloon uses 4.5 quarts of gas in 7 minutes. How many gallons will it use per hour?

antoniya [11.8K]

Answer:

≈9.64 gallons

Step-by-step explanation:

To solve, we can figure out how many quarts are in a minute and use that to figure out how many quarts are in an hour. Then, we can convert quarts to gallons.

4.5 quarts = 7 minutes

First, we can find how many quarts equal 1 minute. To do this, we can divide both sides by 7 because anything divided by itself equals 1

4.5/7 quarts = 1 minute

Next, we want to figure out how many quarts go into 60 minutes, or 1 hour. To do this, we can multiply both sides by 60 because 1 * 60 = 60

4.5 * 60 / 7 quarts = 60 minutes = 1 hour

We now know how many quarts are in an hour, so we can now convert quarts to gallons

4 quarts = 1 gallon

divide both sides by 4

1 quart = 1/4 gallons

To get from quarts to gallons, we can divide by 4, so we have

(4.5 * 60 / 7)/4 = 4.5 * 60 / 28

≈9.64 gallons

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3 years ago