MATHEMATICS HIGH SCHOOL

Find the equation of the straight line passing through the point (3, 5)which is perpendicular to the line
y = 3x + 2
Find the equation of the straight line passing through the - 1

Answers

Answer 1
Answer:

Answer:

  y = -1/3x +6

Step-by-step explanation:

You want the equation of the line through (3, 5)perpendicular to the line y = 3x +2.

Perpendicular line

The given equation is in slope-intercept form. This lets us identify its slope as 3.

  y = mx + b . . . . . . line with slope m and y-intercept b

  y = 3x +2 . . . . . . . line with slope 3 and y-intercept 2

The perpendicular line will have a slope that is the opposite reciprocal of this:

  m = -1/3 . . . . slope of the perpendicular line

Point-slope form

The equation for a line with slope m through point (h, k) is ...

  y -k = m(x -h)

The equation for a line with slope -1/3 through point (3, 5) is ...

  y -5 = -1/3(x -3)

Slope-intercept form

Solving for y gives us ...

  y = -1/3x +1 +5 . . . . . eliminate parentheses, add 5

  y = -1/3x +6 . . . . . equation of the desired line

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Increase 48m by 20%? Help Please I'm Useless At Math<3

Answers

We have 48 meters.
We need to increase it by 20%.
That means we have 48 and then we increase it by 20%.

That can be expressed as:
48 + (48 * 20%)

Now, another way to write that would be:

48 * 120%

Now, 120% is nothing but 120/100. This can even be simplified to 1.2.

48 * 120%
= 48 * 1.2
= 57.6

48m increased by 20% is 57.6m.
You multiply 48m with 20% and add that to 48m.
20% can be written as 20/100.

48m*(20)/(100)+48m

(48m*20)/(100)+48m

(960m)/(100)+48m

9.6m+48m

{\boxed{57.6m}

The sum of two consecutive integers is less than 83. Find the pair of integers with the greatest sum.

Answers

n+n+1<83\n2n+1<83\n2n<82\nn<41\n\n

They are 40 and 39.

Write an expression that is equivalent to three over four (5z+ 16).

Answers

an expression that is equivalent to three over four (5z+ 16).
3/ (20z + 64)

…would be equivalent

A potter use 3/5 of a pound of clay to make a bowl.How many bowls the potter make from 10 pounds.

Answers

We are writing proportion:
(3)/(5) of a pound of clay -1 bowl
10 pound of clay - x bowl
We are looking for x which is amount of bowl
After cross multiplication:
(3)/(5)x=10
x=(50)/(3)=16,66 ,so from 10 pounds we will make 16 bowls.
10 divided by 3/5 = 10 x 5/3 = 50/3 = 16 and 2/3 bowls.

That's the mathematical answer.  In the real-world pottery shop, he can
make 16 complete bowls, and have 2/5 pound of clay left over.

My guys do you thing giving brainliest!!!!

Answers

Answer:

Length = 49 feet

Step-by-step explanation:

Since 35/5 is equal to 7, that means for every inch on the drawing it represents 7 feet. So you could multiply 7(7) to get the actual length.

Solve for n
3n-2=2n
N=

Answers

Answer:

Hey there!

3n-2=2n

n-2=0

n=2

Let me know if this helps :)
3n - 2 = 2n

n =?

3n - 2n = 2

n = 2 ✔️
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