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2 years ago

Given m||n, find the value of x. m t (5x-5) (6x-27)

Mathematics

1 answer:

almond37 [142]2 years ago

4 0

Step-by-step explanation:

due to the laws of symmetry of the angles of 2 crossing lines (and parallel lines are simply repeating and mirroring these angles), both angles must be equal.

5x - 5 = 6x - 27

-5 = x - 27

x = 22

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What is the distance between the points (11 , -17) and (-11 , -17) in the coordinate plane?

liubo4ka [24]

Answer:

22 units

Step-by-step explanation:

11 - (-11) = 22

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3 years ago

Find an equation of a line that is tangent to the graph of f and parallel to the given line. Please see picture

ivanzaharov [21]

Answer:

y = 3x - 2 (smaller y-intercept)

y = 3x + 2 (larger y-intercept)

Step-by-step explanation:

First let's write the generic equation of a line:

y = ax + b

This line needs to be parallel to the line 3x - y + 5 = 0, so it needs to have the same slope of this line.

The line 3x - y + 5 = 0 has a slope of 3, so our line has a = 3:

y = 3x + b

Now we need to find the values of b that make this line tangent to the function f(x) = x^3

Let's first find the derivative of f(x) in relation to x:

df(x)/dx = 3x^2

This derivative is the slope of the tangent line to the function for any value of x. We need a slope of 3, so:

3x^2 = 3

x^2 = 1

x = ±1

Now, to find the y-values, we have:

f(1) = 1^3 = 1

f(-1) = (-1)^3 = -1

So, using the points (1,1) and (-1,-1) in our parallel line, we have:

first line using (1,1) : 1 = 3*1 + b

b = -2

second line using (-1,-1) : -1 = -3*1 + b

b = 2

The value of b is the y-intercept of the line, so the line with smaller y-intercept is y = 3x - 2, and the line with larger y-intercept is y = 3x + 2

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3 years ago

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velikii [3]

Answer:

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Step-by-step explanation:

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3 years ago

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natima [27]

Answer:

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The graph is in the image attached

Step-by-step explanation:

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y = 40 * 2^(x/2)

If we plot this function, we have the graph shown in the image attached,

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3 years ago

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