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lara31 [8.8K]
3 years ago
7

Find the equation of the line that cuts through (0,5) and (1,2)?

Mathematics
1 answer:
MArishka [77]3 years ago
3 0

The equation of the line that cuts through (0,5) and (1,2) is y = -3x + 5

<h3><u>Solution:</u></h3>

Given that we have to find equation of the line that cuts through (0,5) and (1,2)

The equation of line passing through points (x_1, y_1) and (x_2, y_2) is given as:

y - y_1 = m(x - x_1)

Where "m" is the slope of line

Let us first find slope of line

<em><u>The slope of line is given as:</u></em>

m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

\text{ Substituting }  (x_1, y_1) = (0, 5) \text{ and } (x_2, y_2) = (1, 2)

m=\frac{2-5}{1-0}=-3

<em><u>Thus the required equation of line is:</u></em>

y - 5 = -3(x - 0)\\\\y - 5 = -3x\\\\y = -3x + 5

Thus the equation of line is found

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Hiro and his co-workers had lunch at a restaurant near their work. An 18% tip on their bill was $10.08. How much was the bill, n
Ghella [55]

Answer:

$8.27

Step-by-step explanation:

First we need to find the tip.  We know it was 18% of the total. So...

x (the variable we need to find)         18%

__                                                   =     ___

10.08 (the total bill including tip)        100%

cross multiply

100x = 181.44

--------------------   (divide by 100 to get x by itself)

100

x = 1.81 (The 18% tip that was given)

So now we know how much the tip was, we subtract it from the bill

10.08 - 1.81 = $8.27

5 0
3 years ago
How do you do this. Please give a full answer and explain why.
OverLord2011 [107]

<u>L</u><u>a</u><u>w</u><u> </u><u>o</u><u>f</u><u> </u><u>E</u><u>x</u><u>p</u><u>o</u><u>n</u><u>e</u><u>n</u><u>t</u>

\displaystyle \large{ {a}^{ - n}  =  \frac{1}{ {a}^{n} } }

Compare the terms.

\displaystyle \large{ {a}^{ - n}  =   {( - 2)}^{ - 3} }

Therefore, a = -2 and n = 3. From the law of exponent above, we receive:

\displaystyle \large{ {( - 2)}^{ - 3}  =  \frac{1}{ {( - 2)}^{ 3} } }

<u>E</u><u>x</u><u>p</u><u>o</u><u>n</u><u>e</u><u>n</u><u>t</u><u> </u><u>D</u><u>e</u><u>f</u><u>.</u> (For cubic)

\displaystyle \large{ {a}^{3}  = a \times a \times a }

Factor (-2)^3 out.

\displaystyle \large{ {( - 2)}^{ - 3}  =  \frac{1}{( - 2) \times ( - 2) \times ( - 2)}}

(-2) • (-2) = 4 | Negative × Negative = Positive.

\displaystyle \large{ {( - 2)}^{ - 3}  =  \frac{1}{4 \times ( - 2)}}

4 • (-2) = -8 | Negative Multiply Positive = Negative.

\displaystyle \large{ {( - 2)}^{ - 3}  =  \frac{1}{  - 8}}

If either denominator or numerator is in negative, it is the best to write in the middle or between numerator and denominators.

Hence,

\displaystyle \large \boxed{ {( - 2)}^{ - 3}  =  -  \frac{1}{  8}}

The answer is - 1 / 8

3 0
3 years ago
How many ways can first, second, and third place be awarded in a race of 20 people?
Volgvan
That would be 20 x 19 x 18 which equals 6840. 
After first place is chosen, 19 spots left and so on.
The answer is 6840 ways.
3 0
3 years ago
PLEASE CHECK AND SEE IF I'M CORRECT!!! <br> CORRECT ANSWERS ONLY PLEASE!!!
jeka57 [31]
BD is right but PA is wrong, would be BD and MK.
5 0
3 years ago
si franco comió 8/3 de pizza y Fabián comió 5/6 de la misma pizza. ¿quien comió más ? si quedó 4/9 de pizza.​
devlian [24]

Answer:

Franco comió 8/3 de pizza.

Fabián comió 5/6 de pizza.

Queremos saber quien comió más.

Entonces básicamente queremos ver cuál número es más grande, 8/3 o 5/6,

Podemos reescribir el primero como:

8/3 = (2 + 3 + 3)/3 = 2/3 + 3/3 + 3/3 = 2/3 + 1 + 1

      = 2 + 2/3

En cambio, para el número 5/6, el numerador es menor que el denominador, entonces sabemos que:

5/6  < 1

Claramente podemos ver que 8/3 > 5/6

Entonces podemos concluir que Franco comió más.

8 0
3 years ago
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