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Usimov [2.4K]
3 years ago
15

The point-slope form of the equation of the line that passes through points (-5,-1) and (10, -7 ) is y-4=1/4 (x-8) what is the s

lope intercept form of the equation for this line​ ?
Mathematics
1 answer:
arlik [135]3 years ago
4 0

Answer:

y = \frac{1}{4} x + 2

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 )

Given

y - 4 = \frac{1}{4} (x - 8) ← distribute

y - 4 = \frac{1}4} x - 2 ( add 4 to both sides )

y = \frac{1}{4} x + 2 ← in slope- intercept form

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75 is the length of the third side

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What is the approximate distance between the points (4, 5, 4) and (3, 7, 6)?
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A tech company bought a number of computers for its employees: 66 costing \$1600$1600 each, 44 costing \$1200$1200 each, and yy
daser333 [38]

Answer:

5

Step-by-step explanation:

A tech company bought a number of computers for its employees: 6 costing $1600 each, 4 costing $1200 each, and y costing $900 each, where y is a positive odd integer. what is the greatest possible value of y

Solution:

The median of a group of numbers is the middle number when the group of numbers have been arranged either in ascending of descending other. The median of an even group of numbers is the average of the two most middle most numbers while the median of an odd group of numbers is the middle number.

Since there are 6 computers costing $1600, 4 computers costing $1200 each and y computers costing $900 each. Since y is odd, hence y + 6 + 4 would be odd and the median would be the middle number.

Given that the median price = $1200, this means that the middle of the group of numbers is $1200

900, 900, ..., 1200, 1200, 1200, 1200, 1600, 1600, 1600, 1600, 1600, 1600

Since y is odd, for the median price to be $1200, y has to be 3 or 5.

If y = 3:

900, 900, 900, 1200, 1200, 1200, 1200, 1600, 1600, 1600, 1600, 1600, 1600

median = $1200

If y = 5:

900, 900, 900, 900, 900, 1200, 1200, 1200, 1200, 1600, 1600, 1600, 1600, 1600, 1600

Median = $1200

Therefore the greatest possible value of y is 5

5 0
3 years ago
What are the first 3 terms in. t(n)=-2n+7
seropon [69]

Answer:

The first 3 terms of the sequence t(n)=-2n+7 are:

5, 3, 1

Step-by-step explanation:

Given the sequence

t(n)=-2n+7

Here n represents any term number in the sequence

Determining the first term

substitute n = 1 in the sequence to determine the first term

t(n)=-2n+7

t(1)=-2(1)+7

t(1)=-2+7

t(1) = 5

Determining the 2nd term

substitute n = 2 in the sequence to determine the 2nd term

t(n)=-2n+7

t(2) = -2(2) + 7

t(2) = -4 + 7

t(2) = 3

Determining the 3rd term

substitute n = 3 in the sequence to determine the 3rd term

t(n)=-2n+7

t(3) = -2(3) + 7

t(3) = -6 + 7

t(3) = 1

Therefore, the first 3 terms of the sequence t(n)=-2n+7 are:

5, 3, 1

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Answer:

518.7

Step-by-step explanation:

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