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svetlana [45]
3 years ago
14

Y = -2/3x + 2y = 3/2x + 9These lines are...​

Mathematics
2 answers:
Klio2033 [76]3 years ago
6 0
These lines are perpendicular
This is because the gradients of perpendicular lines must multiply together to make -1
So, when you multiply 3/2 and -2/3 your answer is negative one
So these lines are perpendicular
stellarik [79]3 years ago
4 0

Answer:

Perpendicular

Step-by-step explanation:

Perpendicular lines have negative reciprocal slopes

-2/3 negated is

2/3

The reciprocal (flip the numerator and denominator) of 2/3 is

3/2

So, the lines are perpendicular

Hope this helps! :)

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△ABC is a right triangle with right angle C. Side AC¯¯¯¯¯¯¯¯ is 6 units longer than side BC¯¯¯¯¯¯¯¯. If the hypotenuse has lengt
Vladimir [108]

Given:

In △ABC is a right angle triangle.

AC is 6 units longer than side BC.

Hypotenuse=2\sqrt{17}

To find:

The length of AC.

Solution:

Let the length of BC be x.

So, Length of AC = x+6

According to the Pythagoras theorem, in a right angle triangle

Hypotenuse^2=Base^2+Perpendicualar^2

△ABC is a right angle triangle and AC is hypotenuse, so

(2\sqrt{17})^2=(x)^2+(x+6)^2

68=x^2+x^2+12x+36            [\because (a+b)^2=a^2+2ab+b^2]

Subtract 68 from both sides.

0=2x^2+12x+36-68

0=2x^2+12x-32

0=2(x^2+6x-16)

Divide both sides by 2.

x^2+6x-16=0

Splitting the middle term, we get

x^2+8x-2x-16=0

x(x+8)-2(x+8)=0

(x+8)(x-2)=0

x=-8,2

Side cannot be negative, so x=2 only.

Now,

AC=x+6

AC=2+6

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MariettaO [177]
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german

Answer:

(a/2) ^4  or a^4/16

Step-by-step explanation:

(8a^-3)^-4/3

split into two parts

8^ -4/3   *  (a^-3)^-4/3

using the power to the power rule we can multiply the exponents

8^(-4/3)  *a^(-3*-4/3)

8^ (-4/3) * a^(4)

replace 8 with 2^3

(2^3)^(-4/3) * a^(4)

using the power to the power rule we can multiply the exponents

2^(3*-4/3) * a^(4)

2 ^ (-4) * a^4

the negative exponent means it goes in the denominator if it is in the numerator

a^4/2^4

make a fraction

(a/2) ^4

or a^2/16

8 0
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What is 17x&gt; -17 solve for x
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Answer:

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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