What is the equation of the line that passes through the point (3, 0) and is perpendicular to the line 2x – y = 5?

Answers

Answer 1

Answer:

Answer:

$\large\boxed{y=-(1)/(2)x+(3)/(2)}$

Step-by-step explanation:

$\text{Let}\ k:y=_1x+b_1\ \text{and}\ l:y=m_2x+b_2.\n\nl\ \perp\ k\iff m_1m_2=-1\to m_2=-(1)/(m_1)\n============================\n\n\text{We have}\ 2x-y=5.\n\n\text{Convert to the slope-intercept form y = mx + b:}\n\n2x-y=5\qquad\text{subtract 2x from both sides}\n\n-y=-2x+5\qquad\text{change the signs}\n\ny=2x-5\to m_1=2\n\n\text{Therefore}\ m_2=-(1)/(2).$

$\text{The equation of the searched line:}\ y=-(1)/(2)x+b.\n\n\text{The line passes through }(3,\ 0).\n\n\text{Put the coordinates of the point to the equation.}\ x=3,\ y=0:\n\n0=-(1)/(2)(3)+b\n\n0=-(3)/(2)+b\qquad\text{add}\ (3)/(2) \text{to both sides}\n\nb=(3)/(2)$

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Answers

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Need help on 13 someone explain

Answers

Angle 1 is supplementary to the 100 degree angle, making it 80. 180-100 =80. Angle 1 is also supplementary to angle 2. They are cut by parallel lines making angle 2=100 degrees.

Are factor of 6 is 36,56,42 and 66

Answers

factors of six would be 1*6 and 2*3

No 56 is not a factor of 6 only 54 but the rest is correct!

Simplify the problem. Show your proof!

[45 - (6 + 3)] x 27

Answers

Answer:

36x27

Step-by-step explanation:

[45-(6+3)]x27

[45-9]x27

36x27

[45-(6+3)] x 27
Answer:

36 x 27

Which fraction is equivalent to 9/13

Answers

18/26, 27/39, 36/52, there are more than one

Since it cant be simplified any further, we just multiply a constant to both the numerator and the denominator to find an equivalent fraction
$(9*2)/(13*2)$ = $(18)/(26)$
or multiply by 3, or 4 and so on.........

Please help! Alicia drove at a constant speed and traveled 182.4, point, 4 miles in 3 hours.
How many miles would Alicia travel in 11 hours at the same speed?

Answers

Alicia traveled at a constant speed of 182.4 miles in 3 hours. This is the part that is already given in the question. It is required to find out the distance Alicia would travel in 11 hours
Then
Alicia in 3 hours travels = 182.4 miles
In 11 hours Alicia can travel = (182.4/3) * 11
= 2006.4/3
= 668.80 miles
So in 11 hours Alicia can travel a distance of 668.80 miles.Hope this procedure has helped you to understand the problem.

668.8 miles.
IfAlicia drove 182.4 miles in 3 hours, she was driving 60.8 miles/hour,multiply 60.8 by 11 and you get 668.8 miles in 11 hours.

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