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3 years ago

1.Evaluate: 10 C 2

Mathematics

1 answer:

Alecsey [184]3 years ago

7 0

1.) a
2.) c
3.) b
4.)a
6.)a

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For addition, drag tiles onto the board.

Ainat [17]

Answer:

-9

Step-by-step explanation:

The sum of -2 and -7 is given as follows;

-2 + (-7)

In mathematical operations, + * - is -.

So we have;

-2 - 7

This gives us: -9

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2 years ago

Horizontal lines are always perpendicular to _________ lines.

Viktor [21]

Answer:

Vertical

Step-by-step explanation:

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3 years ago

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madreJ [45]

Answer:

can i see an image?

Step-by-step explanation:

my bad for finnesing you and thinking there's an answer

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3 years ago

Read 2 more answers

PLEASE HELP<br>L has y-intercept (0,5) and is perpendicular to the line with equation y=1/3x+1

marin [14]

Answer:

y=-3x+5

Explanation:

Given a line L such that:

• L has y-intercept (0,5); and

• L is perpendicular to the line with equation y=(1/3)x+1.

We want to find the equation of the line in the slope-intercept form.

The slope-intercept form of the equation of a straight line is given as:

$\begin{equation} y=mx+b\text{ where }\begin{cases}m={slope} \\ b={y-intercept}\end{cases} \end{equation}$

Comparing the given line with the form above:

$y=\frac{1}{3}x+1\implies Slope,m=\frac{1}{3}$

Next, we find the slope of the perpendicular line L.

• Two lines are perpendicular if the product of their slopes is -1.

Let the slope of L = m1.

Since L and y=(1/3)x+1 are perpendicular, therefore:

$\begin{gathered} m_1\times\frac{1}{3}=-1 \\ \implies Slope\text{ of line L}=-3 \end{gathered}$

The y-intercept of L is at (0,5), therefore:

$y-intercept,b=5$

Substitute the slope, m=-3, and y-intercept, b=5 into the slope-intercept form.

$\begin{gathered} y=mx+b \\ y=-3x+5 \end{gathered}$

The equation of line L is:

$y=-3x+5$

7 0

1 year ago

Solve for the following equation step by step and justify your steps when using an exponential property.

mel-nik [20]

x = $\frac{5}{7}$

using the ' laws of exponents '

• $a^{m}$ × $a^{n}$ = $a^{( m + n )}$

• $a^{m}$ ÷ $a^{n}$ = $a^{(m - n)}$

• ( $a^{m}$ )^n = $a^{mn}$

$7^{2}$ × $7^{3}$ = $7^{5}$ ÷ $7^{3x}$ = $7^{5 - 3x}$

$7^{4x}$ = $7^{5 - 3x}$

equating the exponents since bases on both sides are 7

4x = 5 - 3x

7x = 5 ⇒ x = $\frac{5}{7}$

4 0

3 years ago