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DanielleElmas [232]
2 years ago
6

-

Mathematics
2 answers:
Vadim26 [7]2 years ago
7 0

Answer:

y = -4x/3 -3

Step-by-step explanation:

y -  y1 = m( x - x1 )

y - -7 = -4/3 ( x - 3 )

y + 7 = -4x/3 + 4

y = -4x/3 -3

y = -4x/3 -3 is the equation of the line

Mashcka [7]2 years ago
5 0

Given that a line passes through the point (3,−7) and has a slope of −43. − 4 3 . Hence, the equation of the given line is 4x+3y+9=0.

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The given line passes through the points (-4, -3) and (4,
drek231 [11]

Answer:

y = 2x + 11

Step-by-step explanation:

The first thing we need to do

is to find the slope of the line that passes through the points (-4,-3) and (4,1)

Mathematically, that would be;

m = y2-y1/(x2-x1)

where (x1,y1) = (-4,-3) and (x2,y2) = (4,1)

substituting these. values we have;

m = (1-(-3))/(4-(-4)) = 4/8 = 1/2 or 0.5

Now we are told this line is perpendicular to another line that passes through another point.

We can find the slope of this other line

Since both lines are perpendicular, the product of their slope is -1.

Thus , -0.5 * m = -1

m = -1/-0.5 = 2

So the slope of the other line is 2

Using the point-slope form;

y-y1= m(x-x1)

The point for the other line is (-4,3)

So the equation will be

y-3 = 2(x+4)

y-3 = 2x + 8

y = 2x + 11

8 0
3 years ago
Need to know the population in 2015
Margarita [4]
\bf P=1110.9e^{kt}\quad 
\begin{cases}
P=1200 &\textit{in thousands}\\
t=2 &\textit{in 2002}
\end{cases}\implies 1200=1110.9e^{k2}
\\\\\\
\cfrac{1200}{1110.9}=e^{2k}\implies ln\left( \frac{1200}{1110.9} \right)=ln(e^{2k})\implies ln\left( \frac{1200}{1110.9} \right)=2k
\\\\\\
\cfrac{ln\left( \frac{1200}{1110.9} \right)}{2}=k\implies 0.0385755\approx k\implies 0.0386\approx k\\\\
-------------------------------\\\\

\bf P=1110.9e^{0.0386t}\qquad 
\begin{cases}
t=14\\
\textit{year 2015}
\end{cases}\implies P=1110.9e^{0.0386\cdot 14}
\\\\\\
P\approx 1907.0747\implies about\ 1,907,075\textit{ once rounded up}
3 0
3 years ago
PLEASE HELP!!<br> It’s asking for the measure of Arc KL in degrees
barxatty [35]

Answer:

30 degrees

Step-by-step explanation:

5 0
3 years ago
What is multiplication
yawa3891 [41]
<h2>Answer:</h2>

A way of adding numbers. Contrast to division.

<h2>Step-by-step explanation:</h2>

Multiplication is when you have a number that you need to multiply by that number. Okay, let me give you an example:

2x4 means = 2+2+2+2 or 4+4

3x6 means = 3+3+3+3+3+3 or 6+6+6

the answer will always be the same.

GOOD LUCK !! :)

- Danyal Ajmal

6 0
3 years ago
Read 2 more answers
A boy purchased​ (bought) a​ party-length sandwich 51 in. long. He wants to cut it into three pieces so that the middle piece is
shepuryov [24]

Answer:

Step-by-step explanation:

we have a 51 in sandwich

let a piece be x

we have x= shorter piece

another piece is x+6

another piece (x+6)-9=x-3

x+x+6+x-3=51

3x=51-3

3x=48

x=48/3=16

x=16, longer piece is 16+6=22, shorter piece =10

6 0
2 years ago
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