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3 years ago

Use numbers to explain the pattern you see when you count forward by tens

Mathematics

2 answers:

Hitman42 [59]3 years ago

7 0

10 + 10 = 20
20 + 10 = 30
30 + 10 = 40
(And so on.)

uysha [10]3 years ago

5 0

10
20
30
40
50
60
70
80
90
100
110 and so on

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Each box contains 6 pens as shown in the table. # of Boxes # of Pens 1 6 2 12 3 18 4 Which list includes only independent quanti

konstantin123 [22]

Answer:

pens

Step-by-step explanation:

3 0

3 years ago

Prove the following statement: If the x- and y-intercepts of a line are identical nonzero numbers, the line must have a slope of

dlinn [17]

Answer:

Step-by-step explanation:

Proof:

If:

x intercept is at a number nonzero "a"

so the point where it intersects the x-axis is at (a,0)

y-intercept is at the same nonzeronumber "a"

so the point where it intersects the y-axis is at (0,a)

Then:

slope between point (a,0) and (0,a) is m= (y2-y1)/(x2-x1) = 0-a/a-0=-a/a= -1

x intercept is 2 (for example)

so the point where it intersects the x-axis is at (2,0)

y-intercept is 2

so the point where it intersects the y-axis is at (0,2)

slope between point (2,0) and (0,2) is m= (y2-y1)/(x2-x1) = 0-2/2-0=-2/2=-1

6 0

3 years ago

Find an equation of the tangent line to the graph of

Allisa [31]

Answer:

$y- y_o = m(x-x_o)$

For this case m represent the slope and is given by $m= g'(4) = 2$ and from the other condition given we know that $x_o = 4, y_o =-3$ . And replacing we got:

$y -(-3) = 2 (x-4)$

And if we reorganize the terms we have:

$y+3 = 2x -8$

And subtracting 3 in both sides we got:

$y = 2x -11$

Step-by-step explanation:

For this case we have the following function y=g(x) and we want to find the tangent line to this function using the conditions: $g(4) =-3, g'(4)=2$

So we need a function like this one:

$y- y_o = m(x-x_o)$

For this case m represent the slope and is given by $m= g'(4) = 2$ and from the other condition given we know that $x_o = 4, y_o =-3$ . And replacing we got:

$y -(-3)=2(x-4)$