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Sedaia [141]
3 years ago
8

(-6,8); perpendicular to y = -3/2x -1

Mathematics
1 answer:
UNO [17]3 years ago
7 0

Answer:

y =  \frac{2}{3} x + 12

Step-by-step explanation:

y =  -  \frac{3}{2} x - 1

The gradient of a line is the coefficient of x when the equation of the line is written in the form of y=mx+c.

Thus, gradient of given line=-  \frac{3}{2}.

The product of the gradients of perpendicular lines is -1.

(Gradient of line)(-3/2)= -1

Gradient of line

- 1 \div ( -  \frac{3}{2} ) \\  =  - 1( -  \frac{2}{3} )  \\  =  \frac{2}{3}

Substitute m=\frac{2}{3} into y=mx+c:

y =  \frac{2}{3} x + c

To find the value of c, substitute a pair of coordinates.

When x= -6, y= 8,

8 =  \frac{2}{3} ( - 6) + c \\  \\ 8 =  - 4 + c \\ c = 8 + 4 \\ c = 12

Thus, the equation of the line is y =  \frac{2}{3} x + 12.

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3.8+(-4.8+(-6.2))=(3.8+(-4.8))+(-6.2)
katrin [286]

-6.2 plus -4.8 is -11. add the 3.8 to get -7.2

-4.8 plus 3.8 is -1

-1 plus -6.2 is -7.2

-7.2=-7.2


3 0
3 years ago
Multiply (5 + 3i)(5 − 3i) <br><br> 16 + 15i <br><br> 16 − 15i <br><br> 16 <br><br> 34
Annette [7]

Answer:

(5 + 3i)(5 − 3i) = 34

Step-by-step explanation:

The multiplication of two identical binomials who have different symbol, can be solved using the factoring case of a difference of squares:

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So, in this case:

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Remember that i=\sqrt{-1}

So: i^{2}=-1

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=25-9.(-1) = 25+9=34

3 0
3 years ago
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juin [17]
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5 0
2 years ago
Give brainliest what is the meaning of mode in mathmatics
Oksana_A [137]
The number which appears most often in a set of numbers. Example: in {6, 3, 3, 6, 3, 5, 9, 3} the Mode<span> is 3 (it occurs most often). Does this help???</span>
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Dafna11 [192]

Answer

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Step-by-step explanation:

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