$\text{Let}\ k:y=_1x+b_1\ \text{and}\ l:y=m_2x+b_2.\\\\l\ \perp\ k\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}\\============================\\\\\text{We have}\ 2x-y=5.\\\\\text{Convert to the slope-intercept form y = mx + b:}\\\\2x-y=5\qquad\text{subtract 2x from both sides}\\\\-y=-2x+5\qquad\text{change the signs}\\\\y=2x-5\to m_1=2\\\\\text{Therefore}\ m_2=-\dfrac{1}{2}.$

$\text{The equation of the searched line:}\ y=-\dfrac{1}{2}x+b.\\\\\text{The line passes through }(3,\ 0).\\\\\text{Put the coordinates of the point to the equation.}\ x=3,\ y=0:\\\\0=-\dfrac{1}{2}(3)+b\\\\0=-\dfrac{3}{2}+b\qquad\text{add}\ \dfrac{3}{2} \text{to both sides}\\\\b=\dfrac{3}{2}$

8 0

4 years ago

Craig wants to use an elevator to carry identical packages having the same weight each package weighs 4 pounds and Craig weighs

julsineya [31]

Answer:

He can carry 60 packages

3 0

3 years ago

Read 2 more answers

Use properties of rational numbers to multiply the following. -45 x (-85)

Marizza181 [45]

Multiplying -45 and -85
$\frac{ - 45}{1} \times \frac{ - 85}{1} = \frac{ - 45 \times ( - 85)}{1 \times 1} = \frac{3825}{1}$
So 3825 is the final answer.

4 0

3 years ago

In the expression 10 7th the 7 is called

dlinn [17]

The denominator.....i dont really understand the question

3 0

4 years ago