Let a and b be odd number.
Because they are odd, by definition:
a = 2n + 1
b = 2m + 1
If we add them up:
a + b = 2n + 1 + 2m + 1
= 2n + 2m + 2
= 2(n + m + 2)
= 2k where k = n + m + 2

therefore a + b is always even.

5 0

3 years ago

Identity Structure find the rule for each function table.

Andreyy89

Answer:

The rule for given table is y = 4x - 1.

Step-by-step explanation:

From the given table it is noticed that the function passing through the points (1,3), (2,7) and (3,11).

If a line passing through the two points, then the equation of line is

$y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)$

The equation of line is

$y-3=\frac{7-3}{2-1}(x-1)$

$y-3=\frac{4}{1}(x-1)$

$y-3=4(x-1)$

$y-3=4x-4$

Add 3 both sides.

$y=4x-4+3$

$y=4x-1$

Therefore the rule for given table is y = 4x - 1.

6 0

3 years ago

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Triangle ABC is translated on the coordinate plane below to create triangle A'B'C':

Elena L [17]

the answer for this case is
since the translation is
b. (4, 9)
(x + 3, y + 6)
for each ordered pair

8 0

3 years ago

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