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Nikolay [14]
3 years ago
12

Can someone please help me with this?!

Mathematics
1 answer:
aliya0001 [1]3 years ago
6 0
To put the given line in standard form, a factor of 2 must be removed from each of the numbers.

Given line in standard form:
.. 3x -y = 9

The perpendicular line through point (h, k) can be found from the formula
.. (-given coefficient of y)*(x -h) +(given coefficient of x)*(y -k) = 0
.. 1*(x -(-7)) +3*(y -4) = 0 . . . . . . . . . (h, k) = (-7, 4)

Eliminating parentheses, you have
.. x +7 +3y -12 = 0

In standard form, the equation is
.. x +3y = 5

_____
The slopes of perpendicular lines are the negative reciprocal of each other. That is, their product is -1. For line ax +by = c, the slope is given by -a/b. The negative reciprocal of that is b/a, corresponding to line bx -ay = (some constant).

When the constant is zero, the line goes through the origin. You can translate the line to make it go through any point (h, k) by writing the equation as
.. b(x -h) -a(y -k) = 0
For the line to be in "standard form", the leading coefficient must be positive. If b < 0, then you want to write
.. -b(x -h) +a(y -k) = 0
as we have above.
Of course, this can be rearranged to
.. -bx +ay = -bh +ak . . . . standard form (when b<0)

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The average American consumes 8.8 liters of alcohol per year. Does the average college student consume less alcohol per year? St
lianna [129]

Answer:

Null hypothesis: u = 8.8 liters

Alternative hypothesis: u < 8.8 liters

Step-by-step explanation:

The null hypothesis is always opposite to Tue alternative hypothesis and is the default hypothesis.

In this case study, the null hypothesis is that the average American consumes 8.8 liters of alcohol per year: u = 8.8

The alternative hypothesis is that does the average American consumes less than 8.8 liters of alcohol per year: u < 8.8 liters

5 0
3 years ago
What's next in this series: 324, 256, 196, 144?​
nydimaria [60]

Next term will be 100

as series is 18²,16²,14²,12² so next will be 10²

hope it helps

8 0
2 years ago
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Complete the point-slope equation of the line through (-1,6)(−1,6)left parenthesis, minus, 1, comma, 6, right parenthesis and (1
velikii [3]

Answer:

y-6 = -\frac{1}{2} (x+1)

Step-by-step explanation:

For this case we have two points given (-1,6) and (1,5)

And we want to complete the point slope equation of the line:

y-6 = m(x-x_o)

We need to find the slope and we can use the following formula:

m = \frac{y_2 -y_1}{x_2 -x_1}

And replacing the info we got:

m= \frac{5-6}{1-(-1)}=-\frac{1}{2}

And then the equation would be given by:

y-6 = -\frac{1}{2} (x- (-1))

And our final answer would be:

y-6 = -\frac{1}{2} (x+1)

3 0
3 years ago
FIRST TO ANSWER RECIEVES BRAINLIEST
weeeeeb [17]

Answer:

C)

Step-by-step explanation:

As it is 60 degree, and the whole circle is 360 degree, so we need to find 1/6 of the circumference of a circle, as C = 2*pi*r = 2*pi*3 = 6pi and 1/6 of it is pi.

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3 years ago
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miss Akunina [59]

given that - 1 hour = 60 min

then, 25 60

then, we cut it from the table of 5 !!

therefore, 5:12

5 0
2 years ago
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