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3 years ago

I need to turn this into a decimal with explanation

Mathematics

1 answer:

myrzilka [38]3 years ago

5 0

Ok so if you divide that it will be a decimal

so it is 0.68

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Passing through (-2,1 ) and perpendicular to 4x + 7y + 3 = 0.

Lunna [17]

Answer:

Step-by-step explanation:

The slope-intercept form of an equation of a line:

$y=mx+b$

m - slope

b - y-intercept

========================================

Let

$k:y=m_1x+b_1\\\\l:y=m_2x+b_2\\\\l\ \perp\ k\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}\\\\l\ \parallel\ k\iff m_1=m_2$

========================================

We have the equation of a line in a general form (Ax + By + C = 0)

Convert it to the slope-intercept form:

$4x+7y+3=0$ subtract 7y from both sides

$4x+3=-7y$ divide both sides by (-7)

$-\dfrac{4}{7}x-\dfrac{3}{7}=y\to m_1=-\dfrac{4}{7}$

Therefore

$m_2=-\dfrac{1}{-\frac{4}{7}}=\dfrac{7}{4}$

We have the equation:

$y=\dfrac{7}{4}x+b$

Put the coordinates of the point (-2, 1) to the equation, and solve for b :

$1=\dfrac{7}{4}(-2)+b$

$1=-\dfrac{7}{2}+b$ multiply both sides by 2

$2=-7+2b$ add 7 to both sides

$9=2b$ divide both sides by 2

[te]x\dfrac{9}{2}=b\to b=\dfrac{9}{2}[/tex]

Finally:

$y=\dfrac{7}{4}x+\dfrac{9}{2}$ - slope-intercept form

Convert to the general form:

$y=\dfrac{7}{4}x+\dfrac{9}{2}$ multiply both sides by 4

$4y=7x+18$ subtract 4y from both sides

$0=7x-4y+18$

6 0

2 years ago

3(2+5x) is the same thing as what

marin [14]

Answer:
6+15x
Step by step explanation:
Expansion

7 0

2 years ago

What is the approximate distance around the half circle with radius 12 centimeters?

Katarina [22]

You can find the perimeter of a circle by using the radius.
circumference = 2 $\pi r$
Circumference = 2 $\pi x 12$
circumference = 24 pi
Since you are only trying to find half of the circle you would divide your answer by 2

24pi / 2 = 12 pi

12 pi = 37.68

The answer is B. 37.7

4 0

3 years ago

Find BM please !!!!!!!!!!

omeli [17]

M is the centroid and the centroid divide the line in 1:2 ratio . So M divide BQ in 1:2 ratio and the total length of BQ is 18.

Therefore BM is one third of 18 . ANd one third of 18=6

So BM =6 and MQ=12 .

6 0

3 years ago

You volunteer at an animal shelter on the weekends and today is adoption day! At the beginning of the event, you start with 44 c

densk [106]

The equation 44 - x + 2x = 50 can be used to determine the number of cats/kittens adopted.

Step-by-step explanation:

Given,

Number of cats/kittens at the event = 44

Number of cats/kittens at the end of event = 50

Let,

x be the number of cats/kittens adopted

Therefore;

Number of cats/kittens returned = 2x

Number of cats/kittens at the event - adopted + returned = Number at the end of event

44 - x + 2x = 50

The equation 44 - x + 2x = 50 can be used to determine the number of cats/kittens adopted.

Keywords: equation, variable

Learn more about variables at:

#LearnwithBrainly

4 0

2 years ago