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DaniilM [7]
3 years ago
13

Need help with #12 ASAP. What is the equation of a line that is perpendicular to the line y= -1/2x+7 and passes through the poin

t (4,10)?

Mathematics
1 answer:
Lera25 [3.4K]3 years ago
6 0

Answer:

y - 10 = 2(x - 4)

Step-by-step explanation:

Recall this:  The slope of a new line perpendicular to a given line is the negative reciprocal of the slope of the given line.

Thus:  The slope of the new line is the negative reciprocal of (-1/2), or +2.

Using the point-slope formula for the equation of a line,

y - k = m(x - h)

becomes

y - 10 = 2(x - 4)

This could also be written as y = 2x - 8 + 10, or y = 2x + 2

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Solve.<br><br> -15 = -0.2k<br><br> k =
Stels [109]
-0.2k = -15 ( then divide -0.2k on both sides)

The answer is then k= 75
3 0
3 years ago
The ratio of black marbles to red marbles is 3:2. If there are a total of 25 marbles in a bag,
kumpel [21]

Answer:

15 black marbles

Step-by-step explanation:

So its. A ratio (basically a fraction)

3/2

we add them up so we know how much marbles but not which kind

so we get 5

now we know for every 5 batches there is 3 black and 2 red

so we divide 25/5 to get 5

now we know there are 5, 5 batches of black ad red marbles.

now black is 3 of them so we multiply 5(3) which is 15

Now red is 2 of them so we multiply 5(2). Which is 10

now to check, if we add them up, they equal to 25 which is correct.

basically add the fraction, divide that by the original number, time the quotient by each number in the fraction.

8 0
3 years ago
Read 2 more answers
3. Consider the following information.P(Z) = 0.73P(A) = 0.25P(Z and A) = 0.15Part A: Determine P(Z|A).Part B: Determine P(AZ).I
krok68 [10]

Ok, so:

For Part A, we have: P(Z|A)=P(Z and A)/P(A)

And if we replace, we got:

P(Z|A) = (0.15)/(0.25) and this is equal to 0.6.

For Part B, we have: P(A|Z)=P(Z and A)/P(Z)

P(A|Z) = (0.15)/(0.73) and this is equal to 0.205.

4 0
1 year ago
What is the value of this expression when a=4, b=-5, and c=-7?
nasty-shy [4]

Answer: C. 6 1/6

Step-by-step explanation:

2 * -5 * -7 = -10 * -7 = 70

70 + 4 = 74

3 * 4 = 12

74/12 = 6 1/6

4 0
3 years ago
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NemiM [27]

Answer:

what is the question asked?

Step-by-step explanation:

5 0
3 years ago
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