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Zinaida [17]
2 years ago
12

Complete the equation of the line through (-9,-9)(−9,−9)left parenthesis, minus, 9, comma, minus, 9, right parenthesis and (-6,0

)(−6,0)left parenthesis, minus, 6, comma, 0, right parenthesis. Use exact numbers. Y=
Mathematics
1 answer:
saw5 [17]2 years ago
4 0

Answer:

The equation of the line is;

y = 3x + 18

Step-by-step explanation:

We want to write the equation of the line through (-9,-9) and (-6,0)

we start by calculating the slope of the line

m = (y2-y1)/(x2-x1) = (0+ 9)/(-6+9) = 9/3 = 3

The general equation of the line is;

y = mx + c

y = 3x + c

To get c, we use any of the points

we substitute for example -6 for x and 0 for y

0 = 3(-6) + c

c = 0 + 18 = 18

So the equation of the line is;

y = 3x + 18

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Determine the discount between the point(-4,2) and the line 4y=3×+6​
frozen [14]

Answer:

d = 14/5

Step-by-step explanation:

The point (-4,2) means that;

At x = -4, y = 2

Now general form of a linear equation is;

Ax + By + C = 0

We are given;

4y = 3x + 6​

Rearranging to the form of a linear equation gives;

3x - 4y + 6 = 0

Thus, A = 3, B = -4 and C = 6

Thus, at point (-4,2), distance between them is;

d = (3(-4) - 4(2) + 6)/√(3² + (-4)²)

d = -14/5

We will take the absolute value.

Thus; d = 14/5

6 0
2 years ago
Which property is demonstrated by the equation (5 + a) + 3 = (a + 5) + 3?
sineoko [7]

Answer:

Communitive Property

Step-by-step explanation:

Commutative property = 2 + 3 = 3 + 2 or 2(3) = 3(2)

Associative Property = (2 x 3) 5 = 2 (3 x 5) or (2 + 3) + 5 = 2 + (3 + 5)

Inverse Property = 2 + (-2) = 0 or (2/1)(½) = 1

Basic Definitions:

<u><em>Commutative Property</em></u> - Gives you the ability to switch the order of the numbers in an expression.

<u><em>Associative Property</em></u> - Let's you move the parenthesis in an expression but not the numbers.

<u><em>Inverse</em></u> - Uses numbers like 0 and 1.

Using these basic definitions and examples, we can summarize that the best answer would be <u>Communitive Property</u>

<u></u>

4 0
3 years ago
Jordan already knew 2 appetizer recipes before starting culinary school, and he will learn 2 new appetizer recipes during each w
kirill115 [55]

Answer:

w=2r

r= w/2

r- w/2 = 0

w -2r= 0

Step-by-step explanation:

Let w be the number of weeks and r be the number of recipes learnt . So he will learn 2 recipes each week .Equating gives

w=2r

when w= 1

w= 2(1) = 2

For 1st week 2 recipes are learned

when w= 2

w= 2( 2) = 4

For 2nd week 4 recipes are learned.

or

when r= 2

r= w/2

r =2/2  = 1  one  recipe is learned in half of the week  

r- w/2 = 0

or

w -2r= 0

6 0
3 years ago
Meghan used her cell phone for 45 minutes each day for n days. Her total minutes of cell phone usage was 540 minutes. Write an e
makvit [3.9K]

Answer:

Is there answer options because if not then it would possibly be y = 45x + 540 or it could be 45x = 540 or it could be 45x/540 so it can be any of those :)

Step-by-step explanation:

3 0
3 years ago
2log 10 =0.3010,then find the value of 22log 8
skad [1K]

Answer:

2.99

Step-by-step explanation:

                                                       <em>Note: [log10 = 1]</em>

<em>                                                        [log8  = 0.903089987]</em>    

2log10 = 0.3010

<em>   </em>22log8 = x

Therefore:

<em>2log10 x = 22log8</em>

<em>x = 2.99</em>

<em>  </em>

5 0
3 years ago
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