Given (12 ,7)and (X,-8) find all x such that the distance between these two points is 17 separate multiple answers with a comma

Would lines 4x+3y=52 and 3x-4y=44 be perpendicular parallel or neither?

step 1

Find out the slopes of the given lines

4x+3y=52

isolate the variable y

3y=-4x+52

y=-(4/3)x+52/3 ------> m=-4/3

3x-4y=44

4y=3x-44

y=(3/4)x-44/4 ------> m=3/4

step 2

Compare their slopes

m=-4/3 and m=3/4

the slopes are opposite reciprocal

that means

The nth term of an arithmetic sequence is :

From the problem, we have :

Substitute a5 and n = 5 :

Rewrite the equation as d in terms of x and a1 :

Subsitute a9 and n = 9

Rewrite the equation as d in terms of x and a1 :

Now, equate two equations of d :

The answer is a1 = -4x-15

If the 5th term of an arithmetic sequence is a5=4x−3. The 9th term of the sequence is a9=12x+9. The first term of the sequence is -4x-15

a sequence is an enumerated collection of objects in which repetitions are allowed and order matters.

The nth term of AP

aₙ=a+(n-1)d..(1)

From give we have,

a₅=4x−3

a₉=12x+9.

Substitute n=5 in (1)

a₅=a+4d

4x-3=a+4d

4d=4x-3-a

d=4x-3-a/4...(2)

Substitute n=9 in (1)

a₉=a+8d

12x+9=a+8d

12x+9-a/8=d..(3)

Equate 2 and 3

4x-3-a/4=12x+9-a/8

8(4x-3-a)=4(12x+9-a)

32x-24-8a=48x+36-4a

32x-24-8a-48x-36+4a=0

-16x-4a-60

-16x-60=4a

a=-4x-15

Hence the first term of the AP sequence is -4x-15

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We are given the following radical expression

Let us simplify it using the properties of radicals.

The quotient property of radicals is given by

Let us apply the above property

Further simplifying the radical

The cube root of 1 is 1 and the cube root of 64 is 4

Therefore, the correct options are

Given:

To find:

The correct function.

Explanation:

Let us consider the function given in option D.

Differentiating with respect to x we get,

Substituting x = 2 in the function f(x), we get

Therefore, the given conditions are satisfied.

So, the function is,

Final answer: Option D

If we want to solve this problem we first need to list a few properties of trigonometric functions:

We are told that cot(θ)=1/2. Using the first equation and this data we obtain the following:

We multiply both sides and we get an expression for the cosine of θ:

Now we are going to take the second property I wrote in the begining and replace the cosine of θ with this new expression that we found:

We must solve this equation for the sine of θ. We can multiply both sides by 4/5:

And we apply a square root to both sides:

We are told that θ is located in quadrant I which means that its sine is positive. Therefore we get:

Then the answer is 2/√5

the expressions are

42g+21 and 7(6g+3)

because

the expressions are equivalents

Answer:

The probability that the sum of her two rolls has an odd number of factors will be;

Explanation:

We want to find the probability that the sum of her two rolls has an odd number of factors.

For the two rolls the total number of possible outcomes is;

Let us list out the possible outcomes of the two rolls;

From the listed possible outcomes, the number of oucomes with odd number of factors of the sum is;

Total number of possibles outcomes is;

The probability that the sum of her two rolls has an odd number of factors will be;

The equation system is:

So we can made the equation equal so:

Now we can replace the value of x to find y in the first equation so:

so the solution is:

We are given the expression (5/6x + 4)^2 and we are asked to express it as a trinomial in the simplest form.

To do this, we will be using the FOIL method. FOIL stands for First-Outer-Inner-Last.

The product will then be:

So, the final answer is 25/36 x^2 + 20/3 x + 16.

the distance between the points is

rounding off to nearest tenth

d = 11.4

1) True

2) False

3) True

4) False

5) False

Domains are indepedent variables for which a function exists while the range are dependent variables for which a function exist.

Foa a given coordinates (x, y), all the sets of first coordinates are the domain while all the sets of second coordinates are the range;

All functions are also known as relations but not all given relations are function.

Based on the explanations above, then;

1) A relation is a set of ordered pairs is TRUE

2) The set of all the first coordinates is called is range is FALSE

3) All functions are relations is TRUE

4) The set of all the second coordinates is called is domain is FALSE

5) All relations are function is FALSE

Convert 54.158 degrees

Firstly, Use the whole number as degree

54 degree

to convert to minutes

(54.548 - 54) x 60

= 0.158 x 60

= 9 minutes

To convert to seconds

(54.158 - 54 - 9/60) x 3600

= (0.158 - 0.15) x 3600

= 0.008 x 3600

= 28.8 seconds

This can be written as

To calculate the amount of each semimonthly paycheck, we need to find the actual amount of money Flora actually receives annually.

Her income is $18500, but $6500 are deducted. Then:

The actual money she receives in one year, after deductions, is $12000.

If she receives semimonthly paychecks, we need to bear in mind that in total she receives 24 paychecks in one year. This considering that semimonthly means that she receives two paychecks in a month.

Then, we just need to divide $12000 by 24 to obtain the amount of each paycheck:

The amount of each paycheck is $500.

The correct answer is option a.

let x be the number that we pick. So the final answer and the pattern is:

so the pattern is that we get the x+1 if we choose x. so the pattern is to add 1 to the initial number

The ratio of boys to girls in our class is 12:10

that means

12 divided by 10

so

12/10

simplify

6/5 or 6:5​

In order to find the amount of blue paint needed, we can write the following rule of three:

First, let's convert the mixed number into an improper fraction:

From this rule of three, we can write the following equation and solve it for x:

Therefore the upper menu is 7 and the left menu is 11.

The bag contains,

Red (R) marbles is 9, Green (G) marbles is 7 and Blue (B) marbles is 4,

Total marbles (possible outcome) is,

Let P(R) represent the probablity of picking a red marble,

P(G) represent the probability of picking a green marble and,

P(B) represent the probability of picking a blue marble.

Probability , P, is,

Probablity of drawing a Red marble (R) and then a blue marble (B) without being replaced,

That means once a marble is drawn, the total marbles (possible outcome) reduces as well,

Hence, the best option is G.

Solution

- The Cosine law is given below as:

- We can make [tex]\begin{gathered} a^2=b^2+c^2-2bc\cos\angle A \\ \text{ Subtract }b^2\text{ and }c^2\text{ from both sides} \\ \\ a^2-b^2-c^2=-2bc\cos\angle A \\ \\ \text{ Divide both sides by }-2bc \\ \cos\angle A=\frac{a^2-b^2-c^2}{-2bc} \\ \text{ } \\ \text{ Take the cos inverse of both sides} \\ \\ \therefore\angle A=\cos^{-1}(\frac{a^2-b^2-c^2}{-2bc}) \end{gathered}[/tex]

Final Answer

The answer is

STEP 1: Identify and Set up.

We have a quadratic equation and are asked to solve, i.e, solve for x. We approach this problem via the factoring method.

We look for two factors of the third term, c that add up to the coefficient of x, favtorise and solve.

STEP 2: Execute

x = 9 and x = 6

Step 1

Given;

Step 2

The exponential function for the question is

Step 3

The initial value in this problem is;

Step 4

The growth rate factor as a decimal will be;

Step 5

What is the n value or a number of time periods?

Step 6

How many will there be in 9 years

The expression for number of employee after n year if population, P decreases at rate of r % is,

Substitute the values in the formula to determine the population after 16 years.

given data:

Spongebob was trying to fill up Gary's bath with water. He noticed the tub filled up 1 gallon per minute.

to find what kind of data this is.

it is discrete because it is measurable. that is countiuse while countable.

Thus the answer is discrete.

A line has an x-intercept of 12 and a y-intercept of -4. What is the equation of the

line?

that means

we have the points

(12,0) and (0,-4)

Find the slope

m=(-4-0)/(0-12)

m=-4/-12

m=1/3

Find teh equation in slope intercept form

y=mx+b

we have

m=1/3

b=-4

therefore

Answer:

D. 0.32

Explanation:

The probability of a person driving while intoxicated or having a car accident can be calculated as:

So, replacing P(Intoxicated) = 0.28, P(Accident) = 0.08 and P(Intoxicated and Accident) = 0.04, we get

Therefore, the answer is

D. 0.32

Answer:

Let the number of packages delivered by Ralph's Express be x.

The number of packages delivered by Speedee Delivery would then be 4x.

The number of packages delivered by Send Quick Package Service would be x-5.

Adding all of these together,

x + 4x + (x - 5) = 6x -5

6x - 5 = 55

6x = 60

x = 10

Hence,

Ralph's Express delivered 10 packages.

Speedee Delivery delivered 40 packages.

Send Quick Package Service delivered 5 packages. Hope this help's you

Step-by-step explanation:

(7)

Given the equation;

A binommial is a polynomial that is the sum of two terms, that is;

Thus;

is a binommial that is a product of sum and difference of two terms.

CORRECT OPTION: D

Answer:

4/4,6/6 etc

Step-by-step explanation:

multiply both numerator and denominator with the same number

Hello!

First, let's write the information that we know and then each event:

When we use the interception symbol (∩), it means that we want to know which numbers are part of both sets simultaneously.

Let's calculate it:

Given data:

The given figure of cylinder.

The total surface area of the cylinder is,

Substitute the given values in the above expression.