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3 years ago

A line is passing through (7,-3) and it’s slope is -1/2, white the equation in point slope form

Mathematics

1 answer:

Crank3 years ago

3 0

Equation of the line in point slope form is y + 3 = -1/2(x - 7)

Step-by-step explanation:

Step 1: Given slope of the line is -1/2 and passes through the point (x1, y1) = (7, -3). Equation in point slope form is y - y1 = m(x - x1)

⇒ y - (-3) = -1/2(x - 7)

⇒ y + 3 = -1/2(x - 7)

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3 years ago

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3 years ago

Simplify the rational expression. State any restrictions on the variable.

ExtremeBDS [4]

we are given

$\frac{(n^4-10n^2+24)}{(n^4-9n^2+18)}$

Firstly, we will factor numerators and denominators

$\frac{(n^4-10n^2+24)}{(n^4-9n^2+18)}=\frac{(n^2-6)(n^2-4)}{(n^2-3)(n^2-6)}$

we can see that

n^2 -6 is factor on both numerator and denominator

so, it will get cancelled

and n^2 -6 can not be equal to 0

so, one of restriction is

$n^2-6\neq 0$

$n\neq -+ \sqrt{6}$

we can simplify it

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3 0

3 years ago

For which value of x is the equation 4x + 24 = 8x + 2x true?

Paha777 [63]

Answer:

x=4

Step-by-step explanation:

4x+24=8x+2x

4x+24=10x

-4x -4x

24=6x

/6 /6

x=4

3 0

3 years ago

Someone would help me find the angle measure y

dsp73

Answer:

y = 65°

Step-by-step explanation:

z = 70° (corresponding angels are equal)

y + z = 135° (exterior angle theorem of a triangle)

y + 70 = 135 (substitution)

Subtract 70 from each side

y + 70 - 70 = 135 - 70

y = 65

4 0

3 years ago