Multiplication with exponents confuses me..

Which equation represents the line that passes through the points (-5,2) and (9,0)

V125BC [204]

Step-by-step explanation:

Given points 

( -5 , 2) and (9 , 0)

First calculating slope(m)

= ( y2 - y1) / ( x2 - x1) 

= ( 0-2) / ( 9+5)

= -2 / 14

= -1/7

Now The equation of line is given by 

y - y1 = m ( x - x1) 

y -2 = -1/7 (x + 5)

7( y - 2) = -1(x + 5)

7y - 14 = -x -5

x + 7y -14 +5 = 0

x + 7y - 9 = 0 

Which is the required equation 

7 0

3 years ago

The 10th term of an a.p is -27 and the 5th term is -12 .find the first term?

horsena [70]

Step-by-step explanation:

$a_{10} = - 27... (Given) \\\\\therefore a + 9d = - 27...... (1)\\\\a_{5} = - 12... (Given) \\\\\therefore a + 4d = - 12.......(2)\\\\$

Subtracting equation (2) from equation (1)

$a + 9d-( a + 4d )= - 27-(-12)\\\\\therefore a +9d - a-4d = - 27+12\\\\\therefore 5d = - 15\\\\\therefore d = \frac {- 15}{5}\\\\\huge \orange {\boxed {\therefore d = -3}} \\\\$

Substituting d = - 3 in equation (1), we find:

$a + 9\times (-3)= - 27\\\\\therefore a - 27 = - 27\\\\\therefore a = 27- 27\\\\\huge \red {\boxed {\therefore a = 0}}\\\\$

Hence, first term is zero.

3 0

3 years ago

A safety regulation states that the minimum height of a handrail is 30 inches. The maximum height is 38 inches. Write an absolut

atroni [7]

Answer:

Step-by-step explanation:

Minimum height=30

Maximum height=38

Write an absolute value equation:

Center: 34

Distance: 4

Equation: |x-34|=4

3 0

3 years ago

I need the answer Please

Andre45 [30]

If each inch is 40 miles then 7(40) = 280 and add the 1/4 which is 10 so the answer is 290

4 0

3 years ago

You (or your parents) have a realized income of $1,046.78/every 2 weeks. How much should the housing expense budget be to stay w

cestrela7 [59]

Housing expenses would be equal to $586.20.

6 0

3 years ago

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