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Luden [163]
3 years ago
5

Write an equation of the line passing through point P(−8, 0) that is perpendicular to the line 3x−5y = 6.

Mathematics
2 answers:
denpristay [2]3 years ago
8 0

Answer:

y = -5/3 * x - 40/3

Step-by-step explanation:

A perpendicular line has an opposite and a reciprocal of the slope.

Your equation should be:

-5y = -3x +6

Divide all parts by -5.

y = 3/5x - 6/5

Since the perpendicular line has an opposite and a reciprocal of the slope, the slope will be -5/3.

Now you must make an equation in point-slope form. This is an example of that form. You will need at least one point to make this equation work. In this case we have (-8,0).

In put the y and x coordinates like this:

y - 0 = -5/3(x - (-8)

Start solving the equation.

y - 0 = -5/3(x + 8)

y - 0 = -5/3 * x - 40/3

y = -5/3 * x - 40/3

This is your equation.

y = -5/3 * x - 40/3

(You can make it -5/3x in your answer but it looks weird online. You may think that it is -5 divided by 3 times x, but it actually is 5/3 times x. That's why I wrote it as y = -5/3 * x - 40/3)

svetlana [45]3 years ago
4 0

9514 1404 393

Answer:

  5x +3y = -40

Step-by-step explanation:

When the equation of a line is given in standard form, the equation of the perpendicular line can be found by swapping the coefficients of x and y, and negating one of them.

Here, that means the equation ...

  3x -5y = constant

becomes

  5x +3y = new constant

The value of the new constant is found by putting the given point coordinates in the expression on the left:

  5x +3y = 5(-8) +3(0) = -40

The equation of the perpendicular line is ...

  5x +3y = -40

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4/9 = 13/q<br><br> I'm supposed to solve it and round it to the nearest hundredth if necessary
Elodia [21]

Answer:

5.78

Step-by-step explanation:

Multiply 13 to both sides to get q by itself

4/9*13=q

this gives you

5.77777778=q

but we need to round it to the nearest hundredth

so

5.78

8 0
2 years ago
In a​ study, researchers wanted to measure the effect of alcohol on the hippocampal​ region, the portion of the brain responsibl
ziro4ka [17]

Answer:

The hippocampus volumes in the alcoholic adolescents are less than the normal volume of 9.02 cm³

Step-by-step explanation:

Let x= the hippocampus volumes in the alcoholic adolescents

We'll conduct a hypothesis test at the 0.01 significance level with

Null hypothesis: x = 9.02 cm³

Alternate hypothesis: x < 9.02 cm³

A sample of 13 alcoholic adolescents gives the parameters

size=N= 13

mean=M= 8.12 cm³

standard deviation= s= 0.8 cm³

According to the sample, with 99% confidence, t statistic for the value X=9.02 can be found using the formula:

t=\frac{X-M}{\frac{s}{\sqrt{N} } } where

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  • s is the standard deviation of the sample (0.8)
  • N is the sample size (13)

If we put these numbers in the formula:

t=\frac{9.02-8.12}{\frac{0.8}{\sqrt{13} } } =4.056

One tailed critical value for the sample with 12 degrees of freedom (sample size-1) in 99% confidence level is 2.681.

Since t value (4.056) is bigger than the critical value, we fail to reject the alternate hypothesis, therefore reject the null hypothesis and accept alternate hypothesis.

5 0
3 years ago
At a hardware store they can cut a rope off of a big roll so you can buy any length you like. the cost of 6 feet of rope is 7.50
konstantin123 [22]

Answer:

first you'd need to divide 7.50 by 6 which will get you (7.50÷6=1.25) then you would need to multiply 1.25 by 50 which will get you $62.50 (1.25×50=62.5).

8 0
2 years ago
What will finding x - 3 determine?
Sunny_sXe [5.5K]
Im not sure but x-3 might determine finding what x equals
4 0
3 years ago
First answer gets Brainliest!!! Please help!!!P<br> 10/3=x/-5/2<br> PLEASE HELP!
Fittoniya [83]

Answer:

<h2>-4/3</h2>

Step-by-step explanation:

<h3>Step 1: Divide</h3>

\frac{10}{3} / \frac{-5}{2}  = \frac{-4}{3} \\X = -4/3

<h3>Step 2: Answer</h3>

x = -4/3

<h3>Step 3: Check</h3>

10/3 = -4/3 / -5/2

3.3 = 3.3✔️

<h3>Step 4: Verified Answer</h3>

x = -4/3

I'm always happy to help :)

3 0
3 years ago
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