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Aleksandr-060686 [28]
2 years ago
9

Create an equation that matches this table

Mathematics
1 answer:
Radda [10]2 years ago
6 0

The equation that matches the given table is

y = 10x + 40

Solution:

General equation of a line : y = mx + c

Let us find the equation of the table.

<u>Common differences of X: </u>

0 – 1 = 1, 1 – 2 = 1, 3 – 2 = 1, 4 – 3 = 1, 5 – 4 = 1

<u>Common differences of Y: </u>

50 – 40 = 10, 60 – 50 = 10, 70 – 60 = 10, 80 – 70 = 10, 90 – 80 = 10

$m=\frac{\Delta y}{\Delta x}

$m=\frac{10}{1}

m = 10

Substitute m = 10 in general equation of a line

y = 10x + c

To find the constant term, substitute x = 0 and y = 40.

40 = 10(0) + c

40 = 0 + c

40 = c

c = 40

Therefore the equation of a line is y = 10x + 40.

Hence the equation that matches the given table is y = 10x + 40.

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Helpppppppp? please thank you
Snezhnost [94]

The x values are the same for both green dots, so you are looking at a simplified version of the distance formula.

d = sqrt( (x2 - x1)^2 + (y2 - y1)^2 )

Since x1 = x2 = 5, the first set of brackets = (5 - 5) = 0

d = sqrt( y2 - y1)^2 )

d = y2 - y1

y2 = 5

y1 = - 1

d = 5 - - 1

d = 6    Answer


8 0
3 years ago
Read 2 more answers
5-2.5 , how is this 2.5?
Y_Kistochka [10]
Well 2.5 + 2.5 is 5 so 5 - 2.5 is 2.5
5 0
3 years ago
Read 2 more answers
TANGENT LINES FIND PERIMETER
Harlamova29_29 [7]
There is a theorem that says that, two tangent lines onto a circle that start from the same point are equal. For example, if we were to label the polygon ABCD, the tangent lines going from point A are equal, the lines going from point B are equal, etc.

Since we now know this rule, we can see that, for each point of the polygon you are given 1 out of 2 tangent lines for that point. Using this theorem, we can say that the other tangent line is equal to the first.

So, the bottom two tangents are 98 and 98, the right-side are both 22 and 22, the top are both 27 and 27, and the left are 22 and 22. We need to find the perimeter, or the sum of all the sides of the polygon. Seeing as the sides of the polygon are formed by all the tangent lines, we just have to find the sum of all the tangent lines.

98 + 98 + 22 + 22 + 27 + 27 + 22 + 22 =
= 196 + 88 + 54 (or 2*98 + 4*22 + 2+27) =
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I hope this wasnt too confusing.
8 0
3 years ago
The sum of two numbers is 41. The larger number is one more than four times the smaller number. What are the numbers?
EleoNora [17]

Answer:

8+ 33

Step-by-step explanation:

8+33=41

8 (the smaller number) times 4 equals 32.

The number 33 is one more than 32.

Hope this helps!

4 0
2 years ago
I need help on these two! Can annoying explain?
True [87]

You are solving the two equations for x.

9.

r = 4 + 7x - sx

We need to solve for x. x is only found in the right side. First, just flip the sides to find x only in the left side.

4 + 7x - sx = r

We want all terms with x on the left side, and all terms without x on the right side. Now we subtract 4 from both sides.

7x - sx = r - 4

Factor x in left side.

x(7 - s) = r - 4

Divide both sides by 7 - s.

x = \dfrac{r - 4}{7 - s}

12.

3z + 8 = 12 + 3x - z

Since x is only in the right side, flip the sides.

12 + 3x - z = 3z + 8

We need to isolate x in the left side, so subtract 12 from both sides and add z to both sides.

3x = 3z + 8 - 12 + z

3x = 4z - 4

Divide both sides by 3.

x = \dfrac{4z - 4}{3}

3 0
3 years ago
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