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blondinia [14]
3 years ago
13

Line J M is the perpendicular bisector of LK.

Mathematics
1 answer:
drek231 [11]3 years ago
5 0

Answer:

The congruent segments are LN and NK ⇒ C

Step-by-step explanation:

<em>If a line is a perpendicular bisector of another line, that means this line intersects the other line in its midpoint and form right angles around this point</em>

∵ Line JM is the perpendicular bisector of line LK

→ That means JM intersect LK at the midpoint of LK

∵ Line JM intersects line LK at point N

∴ Point N is the midpoint of LK

∵ N divides LK into two segments LN and NK

∵ N is the midpoint of LK

→ That means LN equals NK

∴ LN = NK

∴ The congruent segments are LN and NK

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Any help with an explanation would be appreciated!
Lilit [14]

Problem 1

We'll use the product rule to say

h(x) = f(x)*g(x)

h ' (x) = f ' (x)*g(x) + f(x)*g ' (x)

Then plug in x = 2 and use the table to fill in the rest

h ' (x) = f ' (x)*g(x) + f(x)*g ' (x)

h ' (2) = f ' (2)*g(2) + f(2)*g ' (2)

h ' (2) = 2*3 + 2*4

h ' (2) = 6 + 8

h ' (2) = 14

<h3>Answer: 14</h3>

============================================================

Problem 2

Now we'll use the quotient rule

h(x) = \frac{f(x)}{g(x)}\\\\h'(x) = \frac{f'(x)*g(x)-f(x)*g'(x)}{(g(x))^2}\\\\h'(2) = \frac{f'(2)*g(2)-f(2)*g'(2)}{(g(2))^2}\\\\h'(2) = \frac{2*3-2*4}{(3)^2}\\\\h'(2) = \frac{6-8}{9}\\\\h'(2) = -\frac{2}{9}\\\\

<h3>Answer:  -2/9</h3>

============================================================

Problem 3

Use the chain rule

h(x) = f(g(x))\\\\h'(x) = f'(g(x))*g'(x)\\\\h'(2) = f'(g(2))*g'(2)\\\\h'(2) = f'(3)*g'(2)\\\\h'(2) = 3*4\\\\h'(2) = 12\\\\

<h3>Answer:  12</h3>
5 0
2 years ago
In the cafeteria, tables are arranged in groups of 5, with each table seating 7 students.
Shalnov [3]

Answer:

280 i believe

Step-by-step explanation:

5 x 7 x 8 = 280

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Answer:

What are the options?

Step-by-step explanation:

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3 years ago
Write an equation for the line that passes through (-1,4) with a slope of -10
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Answer:

y = - 10x - 6

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here slope m = - 10, hence

y = - 10x + c ← is the partial equation

To find c substitute (- 1, 4) into the partial equation

4 = 10 + c ⇒ c = 4 - 10 = - 6

y = - 10x - 6 ← equation of line

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2 years ago
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