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2 years ago

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Line K has a slope of -5. Line j is perpendicular to line k and passes through the point (5, 9). Create the equation for line j.

(Please help me)

1 answer:

alisha [4.7K]2 years ago

7 0

Answer:

y = 1/5 x + 8

Step-by-step explanation:

slope of line j: m = -(1/-5) = 1/5

j pass (5,9): (y-9)/(x-5) = 1/5

y-9 = 1/5(x-5) = 1/5 x - 1

y = 1/5 x + 8

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Solve -44-7k=12+k answer quick please

nirvana33 [79]

Answer:

k = -7

Step-by-step explanation:

Solve for k:

-7 k - 44 = k + 12

Subtract k from both sides:

(-7 k - k) - 44 = (k - k) + 12

-7 k - k = -8 k:

-8 k - 44 = (k - k) + 12

k - k = 0:

-8 k - 44 = 12

Add 44 to both sides:

(44 - 44) - 8 k = 44 + 12

44 - 44 = 0:

-8 k = 12 + 44

12 + 44 = 56:

-8 k = 56

Divide both sides of -8 k = 56 by -8:

(-8 k)/(-8) = 56/(-8)

(-8)/(-8) = 1:

k = 56/(-8)

The gcd of 56 and -8 is 8, so 56/(-8) = (8×7)/(8 (-1)) = 8/8×7/(-1) = 7/(-1):

k = 7/(-1)

Multiply numerator and denominator of 7/(-1) by -1:

Answer: k = -7

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Step-by-step explanation:

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2 years ago

Solve the equation by using the quadratic formula.<br> 3 x squared minus 1 = 7 x

Paladinen [302]

Answer:

b. $\frac{7+\sqrt{61} }{6} ,\frac{7-\sqrt{61} }{6}$

Step-by-step explanation:

$3x^{2} -1=7x$

Quadratic equations are suppose to be written as: $ax^2+bx+c=0$

so the new quadratic equation for this problem will be: $3x^{2} -1-7x=0$

Now rearrange the terms: $3x^{2} -7x-1=0$

Then use the Quadratic Formula to Solve for the Quadratic Equation

Quadratic Formula = $x=\frac{-b±}{} \frac{\sqrt{b^2-4ac} }{2a}$

Note: Ignore the A in the quadratic formula

Once in standard form, identify a, b and c from the original equation and plug them into the quadratic formula.

$3x^{2} -7x-1=0$

a = 3

b = -7

c = -1

$x=-(-7)±\frac{\sqrt{(-7)^2-4(3)(-1)} }{2(3)}$

Evaluate The Exponent

$x=\frac{7±\sqrt{(49)-4(3)(-1)} }{2(3)}$

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$x=\frac{7±\sqrt{49+12} }{2(3)}$

Add The Numbers

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4 0

3 years ago

Determine the value of y, if x is –9.<br> y= | x | +1<br> Answer:

kakasveta [241]

Since x = -9, you substitue the X for -9.
your equation would then be y = |-9| +1
|x| is absolute vale and makes everything inside positive.
so really it is y = 9+1
y = 10

6 0

3 years ago