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4 years ago

PARALLEL AND PERPENDICULAR

1 answer:

7 0

$k:y=m_1x+b\\l:y=m_2x+c\\\\k\ ||\ l\ if\ m_1=m_2\\\\k\ \perp\ l\ if\ m_1m_2=-1$

We have:
$m_1=\dfrac{3}{-5}=-\dfrac{3}{5};\ m_2=\dfrac{-5}{-3}=\dfrac{5}{3}\\\\m_1m_2=-\dfrac{3}{5}\cdot\dfrac{5}{3}=-1$
Answer: a perpendicular slope.

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Help, in much need of it. Check image.

trapecia [35]

Since ∠1 and ∠2 are complementary...they add up to be 90°.

∠1 = (-2x + 54)
∠2 = (8x + 18) we add these two up
   6x + 72 = 90 subtract 72 from both sides
   6x = 18
   x = 3 place the value of x into the ∠2 equation

(8x + 18) = 8(3) + 18 = 24 + 18 = ∠2 = 42°

5 0

4 years ago

Find the mean of these values 6,4,8,2,5

AlekseyPX

6 + 4 + 8 + 2 + 5 = 25

25/5

mean = 5

5 0

4 years ago

Lines m and n are parallel. Line m is described by y=4x+2. Line n contains the point (1, -3). Which of the following is an equat

Semmy [17]

The equation of line m, in point-slope form is: y + 3 = 4(x - 1)

Recall:

The slopes of parallel lines are equal to each other.

Slope-intercept form equation is: y = mx + b, where m is slope and b is y-intercept.

Point-slope form equation is: $y - y_1 = m(x - x_1)$ where, $(x_1, y_1)$ is a point and m is the slope.

Equation of line m is y = 4x + 2

Slope of line m is 4

Since line m and line n are parallel, both lines will have the same slope. Therefore, the slope of line n is 4.

To write the equation for line if it contains the point (1, -3), substitute $(x_1, y_1)$ = (1, -3) and m = 4 into $y - y_1 = m(x - x_1)$ :

$y - (-3) = 4(x - 1)\\\\\mathbf{y + 3 = 4(x - 1)}$

Therefore, the equation of line n, in point-slope form is: y + 3 = 4(x - 1)

Learn more about point-slope equation on:

brainly.com/question/24907633

4 0

3 years ago

PLEASEE HELP I WILL GIVE A BRAINLY

Genrish500 [490]

Answer:

a) 7x words

b) 1000/x days

c) 15000 + 10x words

Step-by-step explanation:

The best way to do this would be to plug in real numbers to see how each situation would play out. For example, for part a, let's say he learns 20 new words each day. One week has seven days, so that would be 20 x 7, which is 140 words. You multiply the # of days by the # of words, which is x.

For part b, if he tried to reach 1000 new words by doing 20 new words a day, you would find how long that would take by doing 1000 / 20, which would give you 500 days. You divide the # of new words he's trying to reach by the # of words a day.

For part c, he already has a set # of new words that he's learned, and now he's just continuing the progress, so you start out with 15000, then add that to 10 new words a day multiplied by # of days (x).

6 0

3 years ago

I need help solving a system of linear equation, and it says to solve it by Substitution.

olga_2 [115]

2x - 3y = -24
x+ 6y = 18

you solve the first one by the x:

2x = -24 + 3y

x = (-24+3y)/2

then you substitute what you found in the other equation and you solve by y

(-24+3y)/2 + 6y = 18 multiply everything by 2

-24 + 3y + 12y = 36

3y + 12y = 36 + 24

15y = 60

y = 60/15

y = 4

Good job! You found your y! :D

Now let's substitute the y in the first equation with 4:

2x - 3(4) = -24

2x - 12 = -24

2x = -24 + 12

2x = -12

x = -12/2

x= -6

Done!! ;)

6 0

3 years ago

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