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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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Bonita deposited 1300 into a bank account that earned 5.75% simple interest each year. She earned $299 in interest before closin
worty [1.4K]

Answer:

For 4 years the money was in the account .

Step-by-step explanation:

Formula

Simple\ interest = \frac{Principle\times Rate\times Time}{100}

As given

Bonita deposited 1300 into a bank account that earned 5.75% simple interest each year.

She earned $299 in interest before closing the account.

Principle = $1300

Rate = 5.75%

Simple interest = $299

Putting all the values in the formula

299 = \frac{1300\times 5.75\times Time}{100}

Time= \frac{299\times 100}{1300\times 5.75}

Time= \frac{29900\times 100}{1300\times 575}

Time= \frac{2990000}{747500}

Time = 4 years

Therefore for 4 years the money was in the account .


8 0
3 years ago
I need help someone pls help me I been on this for to long
11Alexandr11 [23.1K]

Step-by-step explanation:

the explanation is above

Take key note of the dots bcz some are coloured and some aren't

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WHATS THE MEASURE OF ANGLE D
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7.6

Step-by-step explanation:

m<DBA is 68 degrees

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Express y=3x+2 in general form
katrin [286]

General form of a linear equation is ax+by+c=0 where a,b, and c are three real numbers.

So, we can shift all the terms in one side of the equation. Hence, first step is to remove y from the left side. So, subtract y from each sides.

y-y=3x+2-y

0= 3x - y +2 (By simplifying)

So, the general form of the given equation is 3x-y+2=0.

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Write the Equation of the conic.
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Answer:

(x² -1) + y² = 9

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