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Lostsunrise [7]
3 years ago
15

A line passes through the points (1, 4) and (3, –4). Which is the equation of the line?

Mathematics
2 answers:
Misha Larkins [42]3 years ago
7 0

\bf (\stackrel{x_1}{1}~,~\stackrel{y_1}{4})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{-4}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{-4-4}{3-1}\implies \cfrac{-8}{2}\implies -4 \\\\\\ \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-4=-4(x-1) \\\\\\ y-4=-4x+4\implies y=-4x+8

Wittaler [7]3 years ago
4 0

Answer:

y=-4x+8

Step-by-step explanation:

First find the slope of the line using the slope formula.

-4-4/3-1=-4, The slope is -4.

Next, find the value of b by plugging in the value of the slope and either coordinate's x and y-values.  I will use the point (1,4).

y=mx+b

4 = -4(1)+b, Solve for b.

4 = -4+b

b = 8 The equation of the line is: y=-4x+8

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<h2>THE RECIPROCAL OF 5/8 in fraction </h2><h2>IS 8/5 IN FRACTION. </h2>
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How do I solve this quadratic using the square root property
Nataly [62]

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Step-by-step explanation:

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3 years ago
Read 2 more answers
The question is in the picture.
dangina [55]
<h2><u>Part A:</u></h2>

Let's denote no of seats in first row with r1 , second row with r2.....and so on.

r1=5

Since next row will have 10 additional row each time when we move to next row,

So,

r2=5+10=15

r3=15+10=25

<u>Using the terms r1,r2 and r3 , we can find explicit formula</u>

r1=5=5+0=5+0×10=5+(1-1)×10

r2=15=5+10=5+(2-1)×10

r3=25=5+20=5+(3-1)×10

<u>So for nth row,</u>

rn=5+(n-1)×10

Since 5=r1 and 10=common difference (d)

rn=r1+(n-1)d

Since 'a' is a convention term for 1st term,

<h3><u>⇒</u><u>rn=a+(n-1)d</u></h3>

which is an explicit formula to find no of seats in any given row.

<h2><u>Part B:</u></h2>

Using above explicit formula, we can calculate no of seats in 7th row,

r7=5+(7-1)×10

r7=5+(7-1)×10 =5+6×10

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8 0
3 years ago
Plz help
frozen [14]

Answer:

a. Required system of equations is:

c+p = 10

5c+4p = 46

b. 6 cakes were sold

Step-by-step explanation:

Let p be the number of pies and c be the number of cakes.

Then according to given statement " the store sold 10 baked goods"

c+p = 10\ \ \ Eqn\ 1

And

"A cake costs $5 and a pie costs $4"

5c+4p = 46\ \ \ \ Eqn\ 2

Using equation 1,

c=10-p

Putting this value of c in equation 2:

5(10-p)+4p = 46\\50-5p+4p = 46\\-p = 46-50\\-p = -4\\p = 4

Putting p = 4 in equation 1

c+4 = 10\\c = 10-4\\c =6

Hence,

a. Required system of equations is:

c+p = 10

5c+4p = 46

b. 6 cakes were sold

7 0
3 years ago
Sravya earns $42,820 per year in take home pay. What is the most money a housing expert would advise her to spend on a monthly m
Margarita [4]

Answer:

Step-by-step explanation:

the most money a housing expert would advise her to spend on a monthly mortgage payment would be 1,645

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2 years ago
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