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dmitriy555 [2]
3 years ago
5

The equation of line AB is (y-3)=5(x-4) what is the slope of a line perpendicular to line AB

Mathematics
1 answer:
Softa [21]3 years ago
7 0
Solving for y, we can start by expanding to get y-3=5x-20. Next, we can add 3 to both sides (to separate y), resulting in y=5x-17. To find the slope in the equation y=mx+b, you simply find what you multiply x by, which is 5 in this case. To find a perpendicular slope, you start by making the slope (5 in this case) negative. Next, we find the reciprocal of the number. Since -5 can be written as -5/1, the reciprocal and therefore perpendicular slope is -1/5
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Divide 4x2 − 19x − 30 by x − 6.
padilas [110]

Answer: 4x+5

Step-by-step explanation:

6 0
3 years ago
The population of a city in 2005 was 15,000. By 2015, the city's population had grown to 45,000 people. Assuming that the popula
Ede4ka [16]

Answer:

The population of the city in the year 2025 will be 85,000.

Step-by-step explanation:

The population of the city in year 2005 = 15,000

The population of the city in the year 2015  = 45,000

⇒ The change in population in 10 years

= Population in year 2015 - Population in the year 2005

= 45,000  - 15, 000

= 30,000

⇒ The change in population in 10 years  = 30,000

Now, the population in the year 2015 = 45, 000

Let us assume the number of population in the year 2025 = m

Here, according to the question:

Since, the CHANGE OF RATE is a linear growth since 2005.

⇒ The change in population in each 10 years  = 30,000

⇒ The change in population in next 10 years

  = Population in year 2025 - Population in the year 2015

or, 30, 000 = m - 45, 000

⇒ m = 30,000 + 45,000 = 85,000

or, m = 85,000

Hence, the population of the city in the year 2025 will be 85,000.

3 0
3 years ago
If sv=38, su=26, and the perimeter of SUV is 102, what is the value of RU?
Finger [1]

Answer:

38

Step-by-step explanation:

Let SUV be a triangle

Perimeter of SUV = SU+SV + UV

102 = 38 + 26 + UV

102 = 64 + UV

UV = 102 - 64

UV = 38

Hence the length of UV is 38

8 0
3 years ago
The sum of 3 consecutive integers is 72 find the integers
Elis [28]
-----------------------------------------
Define x :
-----------------------------------------
Let the smallest number be x.
The other two numbers will be x + 1 and x + 2.

-----------------------------------------
Construct Equation :
-----------------------------------------
Sum of these numbers is 72
⇒ x + x + 1 + x + 2 = 72

-----------------------------------------
Solve for x :
-----------------------------------------
x + x + 1 + x + 2 = 72
3x + 3 = 72
3x = 69
x = 23

-----------------------------------------
Find the numbers :
-----------------------------------------
1st number = x = 23
2nd number = x + 1 = 23 + 1 = 24
3rd number = x + 2 = 23 + 2 = 25

----------------------------------------------------------------------------------
Answer : The numbers are 23, 24 and 25.
----------------------------------------------------------------------------------
5 0
3 years ago
Read 2 more answers
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dlinn [17]

Answer:

The average maximum heart rate for a 20 year old is <u>200 bpm</u>

The target heart rate is <u>100-170 beats per minute (bpm).</u>

I Hope this helps and I hope everything is okay!

4 0
3 years ago
Read 2 more answers
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