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nikklg [1K]
1 year ago
12

Find the standard equation of a line that passes through these two points: (-3, 4) and (2, 2)

Mathematics
1 answer:
Fed [463]1 year ago
5 0

standard form for a linear equation means

• all coefficients must be integers, no fractions

• only the constant on the right-hand-side

• all variables on the left-hand-side, sorted

• "x" must not have a negative coefficient

(\stackrel{x_1}{-3}~,~\stackrel{y_1}{4})\qquad (\stackrel{x_2}{2}~,~\stackrel{y_2}{2})~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{2}-\stackrel{y1}{4}}}{\underset{run} {\underset{x_2}{2}-\underset{x_1}{(-3)}}} \implies \cfrac{2 -4}{2 +3} \implies \cfrac{ -2 }{ 5 }

\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}{4}=\stackrel{m}{-\cfrac{2}{5}}(x-\stackrel{x_1}{(-3)})\implies y-4=-\cfrac{2}{5}(x+3) \\\\\\ \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{5}}{5(y-4)~~ = ~~5\left( -\cfrac{2}{5}(x+3) \right)}\implies 5y-20=-2(x+3) \\\\\\ 5y-20=-2x-6\implies 2x+5y-20=-6\implies 2x+5y=14

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in three plays of a football game, there is a gain of 4 yards, a loss of 9 yards, and a gain of 15 yards. What number can you us
Aloiza [94]

We can use minus(-) sign i.e. -9 to represent loss of 9 yards.

<h3>Write the difference between gain and loss.</h3>

The word “gain” implies “acquiring something”.

Gain means to acquire something one desires especially because of one’s efforts.

Gain means to get something additional, for example, to gain more speed, to gain more weight.

We can denote gain by using plus(+) sign before the given number.

“Loss” generally means “to lose something one already has.”

Loss means the deprivation from keeping something, for example, bearing the loss of a theft.

It refers to something which is lost, for example, the theft of jewelry was a great loss.

We can denote loss by using minus(-) sign before the number.

In the given question it is said that there is gain of 4 yards, loss of 9 yards and gain of 15 yards.

It is asked that how would we represent 9 yards loss.

We know that we use minus(-) sign to represent loss.

So we can represent loss of 9 yards by writing it as -9.

To learn more about gain and loss,

brainly.com/question/18281564

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5 0
1 year ago
-3[1+2(4+5)]<br> PLease answer ASAP!!!
vaieri [72.5K]

Answer:

-57

Step-by-step explanation:

<h2><u>Use BOMAS</u></h2>

B- brackets

O- of

M- multiplication

A- addition

S - subtraction

-3[1+2(4+5)]

first solve what is in the brackets

(4+5) = 9

place 9 in the brackets

-3[1+2(9)]

now multiply the 2 and 9

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-3[1+18)]

1+ 18 = 19

now multiply the (-3) with 19

= <u>-57</u>

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yulyashka [42]

Answer:

You've completed 11/12 of your project

Only 1/12 left to go!

Step-by-step explanation:

2/3 + 1/4 = 11/12

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