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3 years ago

Complete the point-slope equation of the line through (1,0) and (6,3). Use exact numbers. y-(-3)=

Mathematics

2 answers:

11111nata11111 [884]3 years ago

8 0

Answer:

point-slope equation of the line through (1,0) and (6,-3). Use Exact Numbers

Step-by-step explanation:

FrozenT [24]3 years ago

4 0

Answer:

Step-by-step explanation:

$(1,0) =(x_1,y_1),\\ (6,3)=(x_2,y_2))\\\\\frac{y-y_1}{x-x_1}= \frac{x_2-x_1}{y_2-y_1} \\ \\\\\frac{y-0}{x-1} = \frac{6-1}{3-0} \\\\\frac{y-0}{x-1} = \frac{5}{3}\\\\3(y-0)=5(x-1)\\\\3y -0 =5x-5\\\\3y = 5x-5+0\\\\3y = 5x-5\\\\\frac{3y}{3} = \frac{5}{3} x= \frac{5}{3} \\\\y = \frac{5}{3} x= \frac{5}{3}\\$

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I’d appreciate the help!

Elis [28]

Answer:

$\displaystyle 1\frac{119}{250}\:liter$

$\displaystyle 7,5\:sleps$

$\displaystyle 37,3\:sleps$

Step-by-step explanation:

$\displaystyle 1\frac{119}{250} = \frac{1476}{1000}$

$\displaystyle 1\frac{1}{13} \times 7 = 7\frac{7}{13} ≈ 7,538461538 ≈ 7,5$

$\displaystyle \frac{41}{1\frac{1}{10}} = 37\frac{3}{11} ≈ 37,3$

I am joyous to assist you anytime.

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3 years ago

How do you solve this equation: -2m+3=|15+m|

Elden [556K]

Any number inside the modulus sign becomes positive. This means $|15+m|=|-(15+m)|=|-15-m|$ and so we have,

$-2m+3=|15+m| \Rightarrow \left \Big\{ {{-2m+3=15+m} \atop{-2m+3=-15-m}} \right$

Solving these gives us

$-2m+3=15+m \Rightarrow m=-4$

$-2m+3=-15-m \Rightarrow = m=18$

However if we check the second solution in the original equation we obtain $-2(18)+3=|15+18| \Rightarrow -33=33$ . This is false and so $m=18$ can't be a solution.

Therefore the only solution is $m=-4$ .

(Note: I'm not sure why the second solution didn't work but when there's a modulus sign involved it always pays to check your final answers to be sure. I'll have a think about it but in case you find out before I do, I'd be interested to know in the comments.)

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3 years ago

Tammy buys a $53.00 dress when it is on sale for 15% off how much money dose tammy pay for the dress

drek231 [11]

Answer:

$45.05

Step-by-step explanation:

53.00 × 0.85 = 45.05

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3 years ago

Read 2 more answers

I need answer fast..

Novosadov [1.4K]

Answer:

a. Portrays the case of two triangles being equal if two angles and the line between them are equal

b. The case of two triangles being equal when two of their lines are equal, compared 2 by 2 and the angles between them are equal

c. The case of two triangles being equal when all lines are equal, compared 2 by 2

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3 years ago

According to the Mortgage Bankers Association, 8% of U.S. mortgages were delinquent in 2011. A delinquent mortgage is one that h

shepuryov [24]

Answer:

The probability that exactly one of these mortgages is delinquent is 0.357.

Step-by-step explanation:

We are given that according to the Mortgage Bankers Association, 8% of U.S. mortgages were delinquent in 2011. A delinquent mortgage is one that has missed at least one payment but has not yet gone to foreclosure.

A random sample of eight mortgages was selected.

The above situation can be represented through Binomial distribution;

$P(X=r) = \binom{n}{r}p^{r} (1-p)^{n-r} ; x = 0,1,2,3,.....$