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umka21 [38]
3 years ago
14

Write an equation in standard form of the line passing through the points (12, 3) and (-3, 8).

Mathematics
1 answer:
aliya0001 [1]3 years ago
6 0

Answer:

x + 3y = 21

Step-by-step explanation:

(x_{1},y_{1})=(12,3) \\\\(x_{2},y_{2})=(-3,8)\\\\Slope= \dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\= \dfrac{8-3}{-3-12}= \dfrac{5}{-15}\\\\= \dfrac{-1}{3}

Equation of the line: y =mx+ b

y =  \dfrac{-1}{3}x+b\\\\\\Plugin \ x = 12 \ and \ y=3 \ in \ the \ above \ equation\\\\3= \dfrac{-1}{3}*12+b\\\\3= -4+b\\\\3+4 = b\\\\b = 7\\\\\\\y=  \dfrac{-1}{3}x+7\\\\

Multiply the equation by 3

3y = -x + 21

x + 3y = 21

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The price of a house DECREASED from $82500 to $77500. Calculate the PERCENTAGE DECREASE
Igoryamba

Answer:

6.06%

Step-by-step explanation:

percentage \: decrease \\  \\  =  \frac{82500 - 77500}{82500}  \times 100 \\  \\  =  \frac{5000 \times 100}{82500}  \\  \\  =  \frac{500000}{82500}  \\  \\  = 6.06060606 \\  \\  = 6.06 \%

7 0
3 years ago
X+y+z=1<br> X-2y+3z=2<br> X+z-5=0
serious [3.7K]

x+y+z=1

x=1/(y+z)

1/(y+z)-2y+3z=2  

1-2y²-2yz+3yz+3z²=2(y+z)

(1-2y²+yz+3z²)/2=y+z

z=(1-2y²+yz+3z²)/2 -y/1

z=(1-2y²+yz+3z²-2y)/2

8 0
3 years ago
Enter the ordered pair that is the solution to the system of equations graphed below.
dalvyx [7]

Answer:

x = 5/2

y = -1/2

Step-by-step explanation:

if both equations start with 'y=' then set the expressions equal to each other

3/5x - 1 = x - 3

add 1 to each side to get:

3/5x = x - 1

subtract 5/5x from each side:

3/5x - 5/5x = -1

-2/5x = -1

multiply each side by -5/2:

x = 5/2

y = 2 1/2 - 3

y = -1/2

6 0
3 years ago
What is (t)? 0=18000*0.988^t
lutik1710 [3]
0=1. The answer is No Solution.
6 0
3 years ago
Can someone help me with this ????
fenix001 [56]

Answer:

A.

(\frac{3}{3+5})(2 - (-14))+ (-14)

Step-by-step explanation:

Given

Ratio = 3:5

Q = -14

S = 2

Required

Which solution uses (\frac{m}{m+n})(x_2 - x_1)+ x_1

From the given parameters;

m:n = 2:5

m = 2\ and\ n = 5

x_1 = -14\ and\ x_2 = 2

Substitute the above values in (\frac{m}{m+n})(x_2 - x_1)+ x_1

This gives:

(\frac{m}{m+n})(x_2 - x_1)+ x_1

(\frac{3}{3+5})(2 - (-14))+ (-14)

<em>From the list of given options, only option A uses the given form of the formula...</em>

6 0
3 years ago
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