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andrew11 [14]
3 years ago
8

What two numbers should be placed in the blanks below so that the difference between the

Mathematics
2 answers:
Alenkasestr [34]3 years ago
8 0

Answer:

20,27

Step-by-step explanation:

let 13,a,b,34 be consecutive numbers.

a=13

l=34

n=4

l=a+(n-1)d

34=13+(4-1)d

34-13=3d

21=3d

d=21/3=7

a=13+7=20

b=20+7=27

Alja [10]3 years ago
6 0

Answer:

  20, 27

Step-by-step explanation:

The difference 34-13 = 21 must be divided into three equal parts. Each is 21/3 = 7.

The numbers are 13+7 = 20, 20+7 = 27. As a check, 27 +7 = 34

The missing numbers are 20 and 27.

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Answer: 0.03

Step-by-step explanation:

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3 years ago
Passing through (-2,1 ) and perpendicular to<br> 4x + 7y + 3 = 0.
Lunna [17]

Answer:

<h2>7x - 4y + 18 = 0</h2>

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

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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             <em>subtract 7y from both sides</em>

4x+3=-7y         <em>divide both sides by (-7)</em>

-\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 <em>b</em> :

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

1=-\dfrac{7}{2}+b     <em>multiply both sides by 2</em>

2=-7+2b           <em>add 7 to both sides</em>

9=2b            <em>divide both sides by 2</em>

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

Finally:

y=\dfrac{7}{4}x+\dfrac{9}{2} - <em>slope-intercept form</em>

Convert to the general form:

y=\dfrac{7}{4}x+\dfrac{9}{2}         <em>multiply both sides by 4</em>

4y=7x+18      <em>subtract 4y from both sides</em>

0=7x-4y+18

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Step-by-step explanation:


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Four more than three times n equals -5
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hope this helps :)
5 0
4 years ago
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