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3 years ago

Give a direct proof that the sum an even integer and an odd integer is odd.

1 answer:

5 0

Even integer: 2 x a, where a is a natural number without 0;
Odd integer : 2 x b + 1 , where b is a natural number;
So, 2 x a + 2 x b+ 1 = 2 x ( a + b ) + 1, which is an odd integer.

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Nter the equation of the line in slope-intercept form.<br><br> Slope is 6, and (1, 3)

kupik [55]

Answer:

The equation in the slope-intercept form will be:

$y=6x-3$

Step-by-step explanation:

Given

slope = m = 6

point = (1, 3)

As we know that the equation of a line in point-slope form is

$y-y_1=m\left(x-x_1\right)$

substituting the values m = 6 and point = (1, 3)

$y-3=6\left(x-1\right)$

Writing the equation in slope-intercept form

$y=mx+b$

where m is the slope, and b is the y-intercept

so the equation of the line in slope-intercept form becomes

$y-3=6\left(x-1\right)$

add 3 to both sides

$y-3+3=6\left(x-1\right)+3$

$y=6x-3$

Therefore, the equation in the slope-intercept form will be:

$y=6x-3$

6 0

3 years ago

16+5×4÷2=42 <br><br>insert parentheses to make the statement true

Nat2105 [25]

(16+5)4÷2=42
21×4÷2=42
84÷2=42
42=42
that is were to but you answer

5 0

2 years ago

Write a number that has a zero in the tens place draw a quick picture for your number

andrew-mc [135]

20...just draw 20 coins or something

6 0

3 years ago

Please please help me out with this problem

Hatshy [7]

Answer:

y = 3x - 4

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, - 4) and (x₂, y₂ ) = (2, 2) ← 2 points on the line

m = $\frac{2+4}{2-0}$ = $\frac{6}{2}$ = 3

Note the line crosses the y- axis at (0, - 4) ⇒ c = - 4

y = 3x - 4 ← equation of line

6 0

3 years ago

Need answer ASAP giving points

dalvyx [7]

Answer:

$- \frac{11}{12}$

Step-by-step explanation:

$\frac{ \frac{5}{8} + \frac{3}{4} }{ \frac{ - 2}{3} - \frac{5}{6} } = \frac{ \frac{5}{8} + \frac{6}{8} }{ \frac{ - 4}{6} - \frac{5}{6} } \\ \\ = \frac{ \frac{5 + 6}{8} }{ \frac{ - 4 - 5}{6} } \\ \\ = \frac{ \frac{11}{8} }{ - \frac{9}{6} } \\ \\ = \frac{11}{8} \div ( - \frac{9}{6} ) \\ \\ = \frac{11}{8} \times ( - \frac{6}{9} ) \\ \\ = \frac{11}{8} \times ( - \frac{2}{3} ) \\ \\ = \frac{11}{4} \times ( - \frac{1}{3} ) \\ \\ = - \frac{11}{12}$

8 0

2 years ago