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3 years ago

Write an equation of the line passing through the point (6, 3) that is perpendicular to the line 6x + 5y = 10 .

Mathematics

2 answers:

Makovka662 [10]3 years ago

5 0

when two lines are perpendicular multiplication of their intercept is equal to -1

Black_prince [1.1K]3 years ago

5 0

Answer:

5x-6y-12=0

Step-by-step explanation:

...make y the subject y=-6/5x +2

...use the coefficient of x as the gradient,m=-6/5

...for a perpendicular line,find the negative reciprocal of the gradient,5/6

...sub into the eqn y= -1/m(x-a)+b

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How to simplify this expression

WITCHER [35]

$\frac{2x+4}{3x-3}( \frac{12x-12}{x+5})$
= $\frac{2(x+2)}{3(x-1)}( \frac{12(x-1)}{x+5})$
= $\frac{2(x+2)4}{x+5}$
= $\frac{8(x+2)}{x+5}$

--------------------------------------
$\frac{x^2-16}{2x-8}$ ÷ $\frac{x-4)^2}{8x-32}$
= $\frac{x^2-16}{2x-8}$ ( $\frac{8x-32}{x-4)^2}$ )
= $\frac{(x-4)^2}{2x-8}$ ( $\frac{8x-32}{x-4)^2}$ )
= $\frac{1}{2x-8}$ ( $\frac{8x-32}{1}$ )
= $\frac{8x-32}{2x-8}$
= $\frac{8(x-4)}{2(x-4)}$
= $\frac{4(x-4)}{1(x-4)}$
=4

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4 years ago

A man gave half of his welfare allowance to his wife,1/5 to each of his two sons the rest to his daughter. Find the fraction giv

vichka [17]

Answer:

1/10.

Step-by-step explanation:

Total allowance=1

Half to wife so 1-1/2=1/2(Left from total)

1/5 to each son so 2/5 to both(Total for sons).

Left for daughter 1/2-2/5=1/10(Ans)

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3 years ago

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stepan [7]

Answer:

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Step-by-step explanation:

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3 years ago

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3 years ago

0=-16t^2 +10 Solve for t

KengaRu [80]

Answer:

plus or minus √10 / 4

Step-by-step explanation:

0=-16t^2 +10 becomes easier to solve if we rewrite it as 16t^2 = 10.

Then t^2 = 10/16 = 5/8, and t = plus or minus √(5/8), or

t = plus or minus (√5) / √8), or

t = plus or minus (√5)√8 √5*2√2

------------- = -------------------

8 8

or plus or minus √10 / 4

4 0

3 years ago

Read 2 more answers