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zavuch27 [327]
3 years ago
6

Tell whether the lines with the given slopes are parallel, perpendicular, or neither. Line 1: m = 2 2)

Mathematics
1 answer:
stich3 [128]3 years ago
3 0

Answer and Step-by-step explanation: Two lines can be parallel, perpendicular or none of them. The difference is in the slope of a line.

<u>Slope</u> is the change in y over the change in x, or, in other words, it is the steepness of the line.

Two lines are parallel if they don't intersect. So, they have the same slope and different y-intercept. For example:

f(x) = m₁x + b₁

g(x) = m₂x + b₂

Functions f(x) and g(x) are parallel if

m₁ = m₂ and b₁ ≠ b₂

Two lines are perpendicular when they intersect at a 90° angle. For that to happen, the multiplication of the slope of each function must result in -1. For example:

h(x) = m₃x + b₃

j(x) = m₄x + b₄

The functions will be perpendicular if:

m_{3}m_{4}=-1

If the slopes are not the same or reciprocal, the lines are neither.

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Y=sech(tan‐¹x) find the derivative ​
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Recall that

d/dx sech(x) = - sech(x) tanh(x)

d/dx tan⁻¹(x) = 1/(1 + x²)

Then by the chain rule,

dy/dx = - sech(x) tanh(x) / (1 + x²)

8 0
2 years ago
1.Find by factors the square root of 3600<br>2. Find by factors the cube root of 343​
Contact [7]

Answer:

1)60

2)7

Step-by-step explanation:

1)The square root of 3600 is 60. It is the positive solution of the equation x2 = 3600. The number 3600 is a perfect square.

2)The cube root of 343 is the number which when multiplied by itself three times gives the product as 343. Since 343 can be expressed as 7 × 7 × 7. Therefore, the cube root of 343 = ∛(7 × 7 × 7) = 7.

4 0
2 years ago
Read 2 more answers
A line passes through the point (-8, 6) and has a slope of 3/2
Vladimir79 [104]

Answer:

y-6=3/2(x+8)

Step-by-step explanation:

so the point slope form is  y-y₁=m(x-x₁)

so enter the points (-8, 6)

y-6= 3/2(x-(-8))

y-6=3/2(x+8)

3 0
3 years ago
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Which of the following relations represents a function? A. (2,3), (1,3), (3,3) B. (1,3), (2,3), (2,4) C. (1,3), (2,3), (1,4) D.
insens350 [35]
A function will not have ANY repeating x values....it can have repeating y values...just not the x ones

so ur function is : (2,3) ,(1,3), (3,3) ....u see how u have no repeating x values
3 0
3 years ago
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Find the equation line<br> (5,6), (4,7)
34kurt

Answer:

x+y=11

Step-by-step explanation:

Here we are given two coordinates through which our lines passes through. Now we are going to use the two point form to find the equation of the line.

The two point form is given as

\frac{y-y_1}{x-x_1}=\frac{y_2-y_1}{x_2-x_1}

Here we are given two coordinates . Thus replacing them in the formula and simplifying it will give us the equation of the line.

\frac{y-6}{x-5}=\frac{7-6}{4-5}

\frac{y-6}{x-5}=\frac{1}{-1}

(y-6)=-(x-5)

y-6=-x+5

adding x and 6 on both sides we get

x+y=11

Hence this is our equation of the line passing through (5,6) & (4,7)

8 0
3 years ago
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