Get the equation of the line containing PQ using the point-slope formula:
<em>y</em> - (-2) = 3/2 (<em>x</em> - (-6))
Solve for <em>y</em> to get it in slope-intercept form:
<em>y</em> = 3/2 <em>x</em> + 7
so the <em>y</em>-intercept is (0, 7).
The line containing QR is then
<em>y</em> - 7 = -3/4 (<em>x</em> - 0)
or
<em>y</em> = -3/4 <em>x</em> + 7
The point R is on the <em>x</em>-axis, so its <em>y</em>-coordinate is 0. Plug in <em>y</em> = 0 and solve for <em>x</em> to get the other coordinate:
0 = -3/4 <em>x</em> + 7
3/4 <em>x</em> = 7
<em>x</em> = 4/3×7 = 28/3
So the point R has coordinates (28/3, 0).
Answer:
- a=1
- b=1
- c=-4
- x = (-1 ±√17)/2
Step-by-step explanation:
The coefficient of x^2 is "a". That is 1.
The coefficient of x is "b". That is 1.
The constant term is "c". That is -4.
The values of a, b, and c are 1, 1, and -4, respectively.
_____
The solution is ...
x = (-b ±√(b^2-4ac))/(2a)
Filling in the values of a, b, and c, this is ...
x = (-1 ±√(1^2 -4·1·(-4)))/(2·1)
x = (-1 ±√17)/2
Answer:
y=-2/7x+6
Step-by-step explanation:
first write this in y=mx+b format, y=7/2x−2
then write the perpendicular line, which is the opposite & negative of m
y=−2/7x-2
then remove b
y=−2/7x+b
plug in the numbers
(7,4) y= 4 x=7
4=-2/7*7+b
b is 6
so put the numbers back in
y=-2/7x+6
hope this helps and have a great day
Answer:
2150 mL
Step-by-step explanation:
1L=1000mL - convert
1.7mL=1700mL - convert problem numbers
1700+450mL - addition
2150mL- answer
There is a fifty percent chance of the coin landing on "heads" each time it is flipped.
However, flipping a coin 20 times virtually guarantees that it will land on "heads" at least once in that twenty times. <span>(99.9999046325684 percent chance)
</span>
You can see this by considering two coin flips. Here are the possibilities:
Heads, heads.
Heads, tails.
Tails, tails.
Tails, heads.
You will note in the tossing of the coin twice that while each flip is
fifty/fifty, that for the two flip series, there are three ways that it
has heads come up at least once, and only one way in which heads does
not come up. In other words, while it is a fifty percent chance
for heads each time, it is a seventy five percent chance of seeing it
be heads once if you are flipping twice. If you wish to know
the odds of it not being heads in a twenty time flip, you would multiply
.5 times .5 times .5...twenty times total. Or .5 to the twentieth
power. That works out to a 99.9999046325684 percent chance of
it coming up heads at least once in the twenty times of it being
flipped.
