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Alex73 [517]
2 years ago
10

Write the equation of the line for a line that passes through (4, 4) and (1, -2).

Mathematics
2 answers:
Vesna [10]2 years ago
7 0

Step-by-step explanation:

(4, 4) and (1, -2).

(x1,y1) and (x2,y2)

slope=(y2-y1/x2-x1)

m= -2-4/1-4

m=2

slopeintercept form

y=2x-4

point slope form

y-4=2(x-4)

pshichka [43]2 years ago
6 0

(\stackrel{x_1}{4}~,~\stackrel{y_1}{4})\qquad (\stackrel{x_2}{1}~,~\stackrel{y_2}{-2}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-2}-\stackrel{y1}{4}}}{\underset{run} {\underset{x_2}{1}-\underset{x_1}{4}}}\implies \cfrac{-6}{-3}\implies 2 \\\\\\ \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}{2}(x-\stackrel{x_1}{4}) \\\\\\ y-4=2x-8\implies y=2x-4

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Solve the equations using the substitution method:<br> 4x -2y =22<br> 2x + 4y = 6
Ugo [173]
We have that
<span>4x -2y =22------> clear variable y
2y=4x-22--------> y=4x/2-22/2---------> y=2x-11-----> equation 1
2x + 4y = 6------> equation 2

substitute equation 1 in equation 2
2x+4*[2x-11]=6-----> 2x+8x-44=6----> 10x=50------> x=5
then 
y=2x-11----> y=2*5-11----> y=-1


</span>
4 0
2 years ago
What's 32 to the power of negative 2/5
Lady bird [3.3K]
32^{-\frac{2}{5}}=\sqrt[5]{32}^{-2}=2^{-2}=(\frac{1}{2})^2=\frac{1}{4}
3 0
3 years ago
-4(3x-1)=12-8x and plz show how you got it
Inga [223]
Step 1:  -4(3x-1) becomes -12x+4
step 2: -12x+4=12-8x
step 3: add 12x to both sides, 4=12+4x
step 4: subtract twelve from both sides -8=4x
step 5: divide by 4, x=-2
3 0
3 years ago
Read 2 more answers
Graph the line with slope 3/2<br> and y-intercept - 7.
Ronch [10]

Answer:

14=3x-2y

y = m x+ c \\ y =  \frac{3}{2} x - 7 \\ y =  \frac{3x - 14}{2}  \\ 2y = 3x - 14 \\ 14 = 3x - 2y \\ therefore \\ 14 = 3x - 2y \: is \: the \: required  \: eqution \: of \: the \: line

it can be wrong also

4 0
2 years ago
An airliner is 9.34 feet wide. The airline wants to install 5 seats in each row. The seats are each 1.46 feet wide. Rounded to t
MatroZZZ [7]

About 2.0 feet space will be left for aisle.

Step-by-step explanation:

Width of airliner = 9.34 feet

Width on one seat = 1.46 feet

Seats to install = 5

Width of 5 seats = 5*1.46 = 7.3 feet

Space left for aisle = Width of airliner - width of 5 seats

Space\ left\ for\ aisle=9.34-7.3\\Space\ left\ for\ aisle=2.04\ feet

Rounding off to nearest 10th

Space left for aisle = 2.0 feet

About 2.0 feet space will be left for aisle.

Keywords: multiplication, subtraction

Learn more about multiplication at:

  • brainly.com/question/10435836
  • brainly.com/question/10541435

#LearnwithBrainly

7 0
3 years ago
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