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Daniel [21]
4 years ago
5

a line passes through the points (14,5) and (19,15) determine and equation for a perpendicular line that passes through the poin

t (19,15)
Mathematics
1 answer:
PSYCHO15rus [73]4 years ago
8 0
The equation of the line thru <span> (14,5) and (19,15)  is found as follows:

                      15-5           5
slope = m = ----------- = ------ = -1
                       19-14         5

Thus, the slope of any line perpendicular to this first line has the slope

m = -1/1 = -1.

Then, using the point-slope form, y-15 = -1(x-19), or y -15 = -x + 19, or
y= -x + 34 (answer)</span>
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after working together for T hours on a common task, two workers have completed fractional parts of the job equal to T/4 and T/6
Andru [333]
Adding the two fractions, we get:
\frac{T}{4}+\frac{T}{6}=\frac{3T+2T}{12}=\frac{5}{12}T
Therefore (5/12)T of the job has been completed.
7 0
3 years ago
two time the quantity of seven less than one fourth is equal to four more than one third of the number. what is the number
kari74 [83]

Answer:

2(7) - 1/4 = 4 + 1/3x

x = 117/4

Step-by-step explanation:

solving an equation with one missing variable

step 1: multiply 2 * 7

ex: 14 - 1/4 = 4 + 1/3x

step 2: subtract 14 from 1/4

ex: 55/4 = 4 + 1/3x

step 3: subtract 4 from both sides of the equation

55/4 - 4 = 4 + 1/3x - 4   (39/4 = 1/3x)

step 4: divide both sides of the equation by 1/3

ex: 39/4 / 1/3 = 1/3x / 1/3   (x = 117/4 or x = 29 1/4)

step 5: to check your answer add the answer you got from the last equation which was 117/4 or 29 1/4 and input it into the original equation and get your final answer

ex: 2(7) - 1/4 = 4 + 1/3(117/4)

14 - 1/4 = 4 + 39/4

55/4 = 55/4 (if both sides of the equation are the same numbers like 55/4 = 55/4 then your answer is true)

3 0
3 years ago
The width of a rectangle is 14 meters less than the length. The area of the rectangle is 576 square meters. Find the length and
belka [17]

Answer: Width = 18m

Length = 32m

Step-by-step explanation:

Let the width of a rectangle be x

Let the length of the rectangle be: x+14

Width = 18m

Length = 32m

Check the attachment for the explanation and further details.

5 0
4 years ago
The price of a computer is marked down from $550 to $484 for a sale. The
scZoUnD [109]

Answer:

A) $425.92

Step-by-step explanation:

The new price percentage with relation to the previous can be determined by dividing p = \frac{484}{550}. Once we calculate p, we can multiply it by 484, which is equivalent to applying the same discount, thus \frac{484}{550}484=425.92

8 0
2 years ago
There are 36 boys and 12 girls at the Zephyrs baseball game practice. What is
PtichkaEL [24]

Answer:

Step-by-step explanation:

the ration of boys to girls will be:

36/12=3/1

choice b

another way

36 boys.........................12 girls  divide by 6

6 boys.............................2 girls   divide by 2

3 boys.............................1 girl

7 0
3 years ago
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