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
jonny [76]
3 years ago
12

Linear equation for passing through (-3,5) & perpendicular to y=-1/2x -3

Mathematics
1 answer:
soldier1979 [14.2K]3 years ago
5 0
The perpendicular slope is the negative reciprocal of the slope of the line it is perpendicular to. Therefore, the slope would be the negative reciprocal of -1/2 which would be 2.

From there, you plug in the coordinate into x and y and solve for b;

5 = 2 * -3 + b

5 = -6 + b

b = 11

Therefore the equation is;

y = 2x + 11
You might be interested in
Help me please show how you got the answer
Lilit [14]

Answer:

Firstly you need to put the equation in form of. y =ax+b

Let us do it

We have

2x-2y=18

-2y=18-2x

-y=(18) /2 - (2x)/2

-y =9-x

Mutiply by - to remove it beside y

Y=-9+x

Which is y=x-9

Slope =a=1

Yintercept=b=-9

3 0
3 years ago
About 16 % of the population of a large country is allergic to pollen. If two people are randomly selected, what is the probabil
Vinvika [58]

Answer:

(a) 0.0256

(b) 0.2944

Step-by-step explanation:

For solving this exercise we can apply the binomial distribution. The equation that give as the probability is:

P(x,n,p)=(nCx)*p^{x} *(1-p)^{n-x}

Where n is the number of identical events, p is the probability that the event has a success and x is the number of success in the n identical events.

Additionally, nCx is calculated as:

nCx=\frac{n!}{x!(n-x)!}

So, in this case we have 2 identical events because we are going to select two people randomly and the probability p of success is the probability that the person is allergic to pollen and this probability is 16%.

Then, for the first case, x is 2 because their are asking for the probability that both are allergic to pollen. Replacing the values of x, n and p we get:

P(2,2,0.16)=(2C2)*0.16^{2} *(1-0.16)^{2-2}

P(2,2,0.16)=0.0256

For the second case, their are asking for the probability that at least one is allergic to pollen, that means that we need to sum the probability that both are allergic to pollen with the probability that just one is allergic to pollen.

Using the same equation to calculate P(1,2,0.16) we get:

P(1,2,0.16)=(2C1)*0.16^{1} *(1-0.16)^{2-1}

P(1,2,0.16)=0.2688

So, the probability that at least one person is allergic to pollen is 0.2944 and it is calculated as:

0.0256 + 0.2688 = 0.2944

7 0
3 years ago
Simple interest worksheet
muminat
Simple interest formula:

I=prt

where I=interest, p=principal (how much you put in at first), r=rate as a decimal, and t=number of years.

Let's plug in what we're given.

I=350\times0.05\times4

Calculate it out...

\boxed{I=70}

The interest earned is $70.00.
5 0
3 years ago
Cot^2x-csc^2x=-1 for all values of x true or falsse
Leno4ka [110]
Our basis for this equality is the pythagorean theorems of trigonometry. There are three equations for the pythagorean theorems. These are:

sin²x + cos²x =1
1 + tan²x = sec² x
1 + cot² x = csc² x

These are all derived from circle geometry on the cartesian plane. Now, the useful trigonometric property to be used is the third one. Rearranging this, we come up with

cot²x - csc²x = -1

This coincided with the given equation. Therefore, this is true. This is because it is already established from the pythagorean theorems.
4 0
3 years ago
Read 2 more answers
For the following question, what is the value of x to the nearest tenth?
ololo11 [35]

Answer:

A. 4.2

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Other questions:
  • Working together takes two different size hose 30 minutes to fill a small swimming pool if it takes 40 minutes for the larger ho
    12·1 answer
  • Geometry math question
    13·2 answers
  • Which angle is an alternate exterior angle to ∠8?
    14·2 answers
  • Davis can read 4/5 of a page in one minute. How many pages can he read in 4 1/2 minutes?
    12·1 answer
  • Which answer describes this pattern? 1, 9, 4, 12, 8, 16, 13, ...
    13·1 answer
  • Find the volume of prism<br>8cm,7cm,25cm<br><br>​
    9·2 answers
  • 4,507.08 divide by 89.76
    14·2 answers
  • In a certain mid-size city, 90% of the high school graduates are from public schools
    5·1 answer
  • working together two mathletes solve 32 math problems in a certain amount of time how many problems will 3 mathletes solve if th
    7·1 answer
  • (2x-3)(x+5)-(x-6)(x+5)=0
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!