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Luba_88 [7]
2 years ago
13

Consider the line x+5y=6

Mathematics
1 answer:
Tems11 [23]2 years ago
6 0

Answer:

x + 5y = 6 is perpendicular to y = 5x + \frac{6}{5} and parallel to y = -\frac{1}{5}x + 2\\

Step-by-step explanation:

First, convert the equation to standard form so that y is isolated.

x + 5y = 6 --> x - 6 = -5y (divide both sides by -5) --> y = -\frac{1}{5}x + \frac{6}{5}

A perpendicular line will have a slope that is the opposite reciprocal of the original slope (meaning you flip the numerator and denominator then make it negative).

-\frac{1}{5} is perpendicular to -(\frac{-5}{1} ) which simplifies to 5.

A parallel line will have the same slope, but the y-intercept will be different. It can be pretty much any number as long as the original slope is used in the new equation.

y = -\frac{1}{5}x + \frac{6}{5}\\ is parallel to y = -\frac{1}{5}x + 2\\ just like y = -\frac{1}{5}x - \frac{100}{23}.

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Perimeter of a square with side 4 square root of 5
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Answer:

16\sqrt{5}

Step-by-step explanation:

4\sqrt{5}+4\sqrt{5}+4\sqrt{5}+4\sqrt{5}

16\sqrt{5}

7 0
3 years ago
A cell phone company charges a monthly fee plus $0.25 for each text message. The monthly fee is $30.00 and you owe $59.50. Write
Vaselesa [24]
The equation is at the top, the steps are in between, and the answer is at the bottom
hope this helps

6 0
3 years ago
Help please due now I only have 10 mins..Help please!!! I only have 10 mins!!!​
fomenos

Answer:

a is equilateral and right, b is scalene and acute, c is equilateral and acute, d is isoseles and right, e is scalene and either acute or right, f is equilateral and acute, g is scalene and acute, and h is scalene and obtuse

Step-by-step explanation:

8 0
2 years ago
Simplify the expression (x^3- 5x^2 + 7x - 12) ÷ (x – 4) using long division​
Kisachek [45]

Answer:

{x}^{2} - x + 3

Step-by-step explanation:

Instead, since the divisor is in the form of x - c, use what is called Synthetic Division. Remember, in this formula, -cgives you the OPPOSITE terms of what they really are, so do not forget it. Anyway, here is how it is done:

4| 1 −5 7 −12

↓ 4 −4 12

_______________

1 −1 3 0 → {x}^{2} - x + 3

You start by placing the c in the top left corner, then list all the coefficients of your dividend [x³ - 5x² + 7x - 12]. You bring down the original term closest to c then begin your multiplication. Now depending on what symbol your result is tells you whether the next step is to subtract or add, then you continue this process starting with multiplication all the way up until you reach the end. Now, when the last term is 0, that means you have no remainder. Finally, your quotient is one degree less than your dividend, so that 1 in your quotient can be an {x}^{2}, the −1 [x] follows right behind it, and bringing up the rear, comes the 3, giving you the quotient of {x}^{2} - x + 3.

I am joyous to assist you anytime.

5 0
3 years ago
Solve the equation. <br><img src="https://tex.z-dn.net/?f=%20%7Cx%20-%20%20%5Cfrac%7B4%7D%7B3%7D%20%7C%20%20%3D%20%20%7Cx%20%2B%
lisov135 [29]
X=7/12 is the awnser
4 0
3 years ago
Read 2 more answers
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