Lines that are parallel will have the same slope. Lines that are perpendicular will have slopes that are the negative reciprocal of each other.
<em>(a) </em><span><em>parallel to the line y=2x-4, and has a y-intercept of 7</em>
</span>slope of first line: 2
slope of second line: 2
y=mx + b
<span>y=2x+7
</span>
<em>(b) parallel to the line y-3x=6, and has a y-intercept of -2</em>
y=3x+6
slope of first line: 3
slope of second line: 3
y=mx + b
y=3x-2
<em>(c) </em><span><em>parallel to the line 2x+3y=12, and that passes through the origin</em>
</span>3y=-2x+12
y=-2/3x+4
slope of first line: -2/3
slope of second line: -2/3
origin: (0,0)
y=mx + b
y=-2/3x + 0
y=-2/3x
<em>(d) </em><span><em>perpendicular to the line y=3x+2, and has a y-intercept of 2</em>
</span>slope of first line: 3
slope of second line: -1/3
y=mx + b
y=-1/3x + 2
<em>(e) </em><span><em>perpendicular to the line 3y+4x=18, and that passes through the origin</em>
3y=4x+18
y=4/3x+6
</span>slope of first line: 4/3
slope of second line: -3/4
origin: (0,0)
y=mx + b
y=-3/4x + 0
y=-3/4x
Answer:
The number 10/7 is a rational number, which means it can be expressed as a fraction. Also, if we divide it would give a decimal infinite periodical number, which means it has a pattern on its decimal numbers.
On the other hand, the square root of 2 is irrational number, that means it can't be expressed as a fraction, because its decimal numbers don't have any pattern at all.
So, Mai's brother can see these type of numbers as crazy (irrational numbers) and sane (rational numbers).
At last, another important characteristic to shows that they aren't equal is that they don't have the exactly decimal numbers.
4.
4x3=12
12+5=17
Therefore, the answer is 4.
Answer:
4.605170185988091
Step-by-step explanation:
ln 100 = 4.605170185988091
e^4.605170185988091 = 100
Answer:
129
Step-by-step explanation:
the 2 angles together will equal 180 because that is half of a circle a circle is 360so what you do is subtract 180 minus 51 and get 129
