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Yuki888 [10]
1 year ago
5

Write an equation of a line that passes through (3, -1) and is parallel and perpendicular to y = 6x - 4

Mathematics
1 answer:
Serhud [2]1 year ago
4 0

Here,

y=mx+c

the slope of the line 6x+4y= -16 is -20.

if the two lines are perpendicular, the slope of 1st line * slope of second line=-1

the slope of the 2nd line is -1/2

y-y1=m(x-x1)

y-13=-1/2(x- -18)

when you solve, you get the equation of the line as 2y+x=50

In basic geometry, if two geometry objects intersect at right angles (90 degrees or π / 2 radians), they are vertical.

If two lines intersect at right angles, the line is perpendicular to another line. Explicitly (1) if two lines intersect, the first line is perpendicular to the second line. (2) At the intersection, the straight line angle on one side of the first line is cut by the second line into two congruent angles. Verticality can be shown as symmetric. That is, if the first line is perpendicular to the second line, then the second line is also perpendicular to the first line. Therefore, two straight lines can be said to be perpendicular (to each other) without specifying the order.

Learn more about Perpendicular here: brainly.com/question/7098341

#SPJ4

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How many integers are there that consist of four digits (from 1000 to 9999) where the first digit is a 5 or an 8 and the third d
Ostrovityanka [42]

Answer:

1600 integers

Step-by-step explanation:

Since we have a four digit number, there are four digit placements.

For the first digit, since there can either be a 5 or an 8, we have the arrangement as ²P₁ = 2 ways.

For the second digit, we have ten numbers to choose from, so we have ¹⁰P₁ = 10.

For the third digit, since it neither be a 5 or an 8, we have two less digit from the total of ten digits which is 10 - 2 = 8. So, the number of ways of arranging that is ⁸P₁ = 8.

For the last digit, we have ten numbers to choose from, so we have ¹⁰P₁ = 10.

So, the number of integers that can be formed are 2 × 10 × 8 × 10 = 20 × 80 = 1600 integers

5 0
3 years ago
A 5-column table has 4 rows. The first column has entries A, B, C, Total. The second column is labeled X with entries 45, 20, 25
Setler [38]

Answer:

Step-by-step explanation:

To see if two events are independent you can use the formula P(a|b) = P(a)

In this problem P(C|Y) = 35/75 = .4667 and P(C) = 110/300 = 3.667,

therefore C and Y are not independent events because P(C∣Y) ≠ P(C).

The answer is choice D

4 0
3 years ago
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The table shows the time Monique worked and the amount of money she earned during four different weeks.
spayn [35]

Answer:

330

Step-by-step explanation:

5 0
2 years ago
What polynomial must be added to 3x2 + 4x + 7 to obtain the sum of 0?
Dovator [93]

Answer:

do (3x2+4x+7)+y=0

y=-3x^2-4x-7

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2 years ago
Write the fraction or mixed number as a percent.<br> 1 21/50 =
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242% should be the answer
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