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2 years ago

Evaluate the following using distributive property (-15/4 x 3/7 + -7/5 + (-15/4 x -12/5)

Mathematics

1 answer:

Drupady [299]2 years ago

8 0

Answer:

5.99285714286

Step-by-step explanation:

5.99285714286

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P (6,6) y=2/3x

matrenka [14]

Answer:

$y = -\frac{3}{2}x+15$

Step-by-step explanation:

Given:

Given point P(6, 6)

The equation of the line.

$y = \frac{2}{3}x$

We need to find the equation of the line perpendicular to the given line that contains P

Solution:

The equation of the line.

$y = \frac{2}{3}x$

Now, we compare the given equation by standard form $y = mx +c$

So, slope of the line $m_{1} = \frac{2}{3}$ , and

y-intercept $c=0$

We know that the slope of the perpendicular line $m_{1}\times m_{2} = -1$

$m_{2}=-\frac{1}{m_{1}}$

$m_{2}=-\frac{1}{\frac{2}{3} }$

$m_{2}=-\frac{3}{2}$

So, the slope of the perpendicular line $m_{2}=-\frac{3}{2}$

From the above statement, line passes through the point P(6, 6).

Using slope intercept formula to know y-intercept.

$y=mx+c$

Substitute point $P(x_{1}, y_{1})=P(6, 6)$ and $m = m_{2}=-\frac{3}{2}$

$6=-\frac{3}{2}\times 6 +c$

$6=-3\times 3 +c$

$c=6+9$

$c=15$

So, the y-intercept of the perpendicular line $c=15$

Using point slope formula.

$y=mx+c$

Substitute $m = m_{2}=-\frac{3}{2}$ and $c=15$ in above equation.

$y = -\frac{3}{2}x+15$

Therefore: the equation of the perpendicular line $y = -\frac{3}{2}x+15$

8 0

3 years ago

PLZ HELP I BEG YOU 20 POINTS!!!!

Charra [1.4K]

Answer:

$b=\frac{g}{x} + \frac{5}{x^{3} } +\frac{1}{x^{2} }$

Step-by-step explanation:

4 0

3 years ago

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IS<br> 9/10, 0.9, and<br> 90% equivalent?

wariber [46]

Answer:

yes

Step-by-step explanation:

they are all equivalent because they all equal 0.9

9/10 = 90/100 = 0.9

all percentages can be converted to fraction by putting them over a hundred

90% = 90/100 = 0.9

0.9 obviously = 0.9

7 0

3 years ago

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Help pleaseee i cant

maw [93]

how are you today

Step-by-step explanation:

8 0

3 years ago

Plz Help

soldier1979 [14.2K]

the answer is B)

we can check by multiply them

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3 years ago

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