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3 years ago

6.

Mathematics

1 answer:

photoshop1234 [79]3 years ago

7 0

Answer:

The answer is in the attached file below

Step-by-step explanation:

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

Lisa [10]

Answer:

$\large\boxed{y=-\dfrac{1}{2}x+\dfrac{3}{2}}$

Step-by-step explanation:

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

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

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4 years ago

Solve for x. −23(3x−4)+3x=56

labwork [276]

Answer:

x = 6/11

Step-by-step explanation:

−23(3x−4)+3x=56

Distribute

-69x + 92 +3x = 56

Combine like terms

-66x+92 = 56

Subtract 92 from each side

-66x+92-92 = 56-92

-66x =-36

Divide each side by -66

-66x/-66 = -36/-66

x = 6/11

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3 years ago

Hai has 1 gallon jug of water. He drinks 1/8 gallons of water before lunch and 2/3 gallons of water after lunch. How much water

Leni [432]

Hai drank 10/16 gallons of water all day

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2 years ago

Oceans are what percentage of the hydrosphere? <br> a. 71% <br> b. 87% <br> c. 99% <br> d. 97%

Bond [772]

Answer:

71%

Step-by-step explanation:

hydrosphere and biosphere both make sense, but from many searches, it says that at least 70% of Earths SURFACE is covered in water (not describing how deep the water is), so the greatest estimate yet would be 71%

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3 years ago

Read 2 more answers

Who wants to join my pad let anyone can join just don't be negative everyone is excepted and I'll help with homework questions

FinnZ [79.3K]

Answer:

discord?

Step-by-step explanation:

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3 years ago