1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
kicyunya [14]
3 years ago
11

Through (-10,2) and perpendicular to the line y-3x=8 in point-slope form

Mathematics
1 answer:
ss7ja [257]3 years ago
5 0
The instructions begin with "Find the equation of the line ... " and should be included in your post.

This new line is perp. to the line y - 3x = 8, or y = 3x + 8.  Slope is 3.
Thus, a line perp to this one would have the slope -1/3.

In point-slope form:  y-2 = (-1/3)(x-[-10]), or    y - 2 = (-1/3)(x+10)   (answer)
You might be interested in
The diameter of a particle of contamination (in micrometers) is modeled with the probability density function f(x)= 2/x^3 for x
natulia [17]

Answer:

a) 0.96

b) 0.016

c) 0.018

d) 0.982

e) x = 2

Step-by-step explanation:

We are given with the Probability density function f(x)= 2/x^3 where x > 1.

<em>Firstly we will calculate the general probability that of P(a < X < b) </em>

       P(a < X < b) =  \int_{a}^{b} \frac{2}{x^{3}} dx = 2\int_{a}^{b} x^{-3} dx

                            = 2[ \frac{x^{-3+1} }{-3+1}]^{b}_a   dx    { Because \int_{a}^{b} x^{n} dx = [ \frac{x^{n+1} }{n+1}]^{b}_a }

                            = 2[ \frac{x^{-2} }{-2}]^{b}_a = \frac{2}{-2} [ x^{-2} ]^{b}_a

                            = -1 [ b^{-2} - a^{-2}  ] = \frac{1}{a^{2} } - \frac{1}{b^{2} }

a) Now P(X < 5) = P(1 < X < 5)  {because x > 1 }

     Comparing with general probability we get,

     P(1 < X < 5) = \frac{1}{1^{2} } - \frac{1}{5^{2} } = 1 - \frac{1}{25} = 0.96 .

b) P(X > 8) = P(8 < X < ∞) = 1/8^{2} - 1/∞ = 1/64 - 0 = 0.016

c) P(6 < X < 10) = \frac{1}{6^{2} } - \frac{1}{10^{2} } = \frac{1}{36} - \frac{1}{100 } = 0.018 .

d) P(x < 6 or X > 10) = P(1 < X < 6) + P(10 < X < ∞)

                                = (\frac{1}{1^{2} } - \frac{1}{6^{2} }) + (1/10^{2} - 1/∞) = 1 - 1/36 + 1/100 + 0 = 0.982

e) We have to find x such that P(X < x) = 0.75 ;

               ⇒  P(1 < X < x) = 0.75

               ⇒  \frac{1}{1^{2} } - \frac{1}{x^{2} } = 0.75

               ⇒  \frac{1} {x^{2} } = 1 - 0.75 = 0.25

               ⇒  x^{2} = \frac{1}{0.25}   ⇒ x^{2} = 4 ⇒ x = 2  

Therefore, value of x such that P(X < x) = 0.75 is 2.

8 0
2 years ago
Big Louie's Pizza House sells a 12" square pan pizza for $3.95 and a 24" square pan pizza for $14.95. Which pizza is a better de
Alex_Xolod [135]

Answer:

The pizza that is a better deal is 12" square pan pizza for $3.95.

Step-by-step explanation:

This is because if you get 2 of the 12" square pan pizzas it will be 24" and you will only have to pay $7.90. but if you bought the 24" square pan pizza you would have to pay $14.95 which isnt a fair price.

4 0
2 years ago
Evaluate arccsc square root of 2
leonid [27]
Sin⁻¹ √2 = 1/√2 = 1(√2) / (√2)(√2) = √2/2
8 0
3 years ago
Find the area of the parking space if the height is 18 feet and the base is 9 1/4 feet
Molodets [167]
Area= base x height
So, the base is 9 1/4 and the height is 18 feet
so, the Area= 9 1/4 x 18

9 1/4 x 18
= 166.5
4 0
3 years ago
Read 2 more answers
What number is missing from the table of equivalent ratios
denpristay [2]

8 is missing for the table

8 0
2 years ago
Read 2 more answers
Other questions:
  • Find the sum 6.87 + 2.39 iready
    15·2 answers
  • 48% of what number is 57.6?
    13·2 answers
  • Vectors and scalars (are/arenot) the same
    12·2 answers
  • Last Sunday, the average temperature was 8\%8%8, percent higher than the average temperature two Sundays ago. The average temper
    8·1 answer
  • A penny has a mass of 3 grams. what is the mass in grams of 8 pennies ?
    10·2 answers
  • PLEASE ANSWER THIS ASAP I WILL MARK YOU THE BRAINLIEST
    8·1 answer
  • Solve -4y - 3 + 3y = 8 - 2y -15, interpret the result
    9·1 answer
  • Lee kept track of how many kilometres she walked each week for the past two months.
    8·1 answer
  • Find a rational number between - 4 and 8 ​
    14·1 answer
  • PLEASE HELP ASAP<br> ITS GEOMETRY
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!