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Debora [2.8K]
3 years ago
12

Find the equation of perpendicular bisector of the lines with the given word (1,2) and (5,4) ​

Mathematics
1 answer:
Mandarinka [93]3 years ago
7 0

Answer:

y = -2x + 4

Step-by-step explanation:

Slope: (4-2)/5-1) = 2/4 = 1/2

Slope of the perpendicular line: -2

y-intercept: 2 - (-2)(1) = 4

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What is the greatest common factor for both terms: 24x + 8
Lyrx [107]

24x=\boxed{2}\cdot\boxed{2}\cdot\boxed{2}\cdot3\cdot x\\\\8=\boxed{2}\cdot\boxed{2}\cdot\boxed{2}\\\\GCF(24x,\ 8)=\boxed{2}\cdot\boxed{2}\cdot\boxed{2}=8\\\\24x+8=8(3x+1)

3 0
3 years ago
(g o f)(6)
Doss [256]

Step-by-step explanation:

A. gof=g(f(x))

= g(f(6))

=6×6

36

7 0
3 years ago
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Write the amount as a fraction of a dollar, as a decimal, and as a money amount.
sergey [27]
6/10
0.6
60 cents

17/100
0.17
17 cents

49/100
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92/100
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92 cents
6 0
3 years ago
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What is the solution to 4(x-1)-2(3x+5)=-3x-1
Margarita [4]

To solve this problem, we need to get the variable x alone on one side of the equation. To begin, we are going to use the distributive property twice on the left side of the equation to expand the multiplication and get rid of the parentheses.

4(x-1) - 2(3x + 5) = -3x -1

4x - 4 -6x - 10 = -3x - 1

Next, we should combine like terms on the left side of the equation. This means we should add/subtract the variable terms and the constant terms in order to simplify this equation further.

-2x - 14 = -3x - 1

Then, we have to add 3x to both sides of the equation to get the variable terms all on the left side of the equation.

x - 14 = -1

After that, we should add 14 to both sides of the equation to get the variable x alone one the left side of the equation.

x = 13

Therefore, the answer is 13.

Hope this helps!

4 0
3 years ago
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The numbers 1 through 15 are written on cards. One card is chosen at random. Event A is choosing a
lana [24]

Step-by-step explanation:

the probability is always the number of desired cases over the number of all possible cases.

in our situation we have 15 cards.

that is the total possible cases when a random card is chosen.

how many desired cases do we have ?

a number NOT a multiple of 5.

how many are there ?

it is easier to say how many numbers there are being a multiple of 5 : 5, 10, 15

so, 3 numbers out of the 15 are multiple of 5.

that means

15 - 3 = 12 numbers of the 15 are NOT multiples of 5.

so, the probability to draw a card that is not a multiple of 5 is

12/15 = 4/5 = 0.8

the information about event B and even numbers is irrelevant for the question.

6 0
2 years ago
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