If the distance between A(0, 4) and B(3,a) is 5 units then find the value of a.​

Answers

Answer 1

Answer:

Step-by-step explanation:

a = 0

So that AOB makes a right triangle with sides 3-4-5

Answer 2

Answer:

a = 8

Step-by-step explanation:

Calculate AB using the distance formula and equate to 5

d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

with (x₁, y₁ ) = A (0, 4 ) and (x₂, y₂ ) = B (3, a )

d = [tex]\sqrt{(3-0)^2+(a-4)^2}[/tex]

  = [tex]\sqrt{3^2+(a-4)^2}[/tex]

  = [tex]\sqrt{9+(a-4)^2}[/tex] , then

[tex]\sqrt{9+(a-4)^2}[/tex] = 5 ( square both sides )

9 + (a - 4)² = 5² = 25 ( subtract 9 from both sides )

(a - 4)² = 16 ( take square root of both sides )

a - 4 = 4 ( add 4 to both sides )

a = 8


Related Questions

If the average ticket price for movie A in its first week was 1.4 times the average ticket price in its third week, what was the average ticket price for movie A in its first week?

Answers

8.35x1.4= $11.69 So the ticket price for movie A in its first week would be $11.69

Hope this helped :)

5p coins weigh approximately 3 grams
what would the weight of £5 worth of 5p coins ?
give your answer in kg

Answers

Answer:

0.3kg(300g)

Step-by-step explanation:

£1=100p

£5=500p

5p=3g

500p=x

x=500*3/5

x=300g

Step-by-step explanation:

£5 in pence is 500p

The number of 5p coins in 500p is:

500/5 = 100 (5p coins)

each 5p coin weighs 3g

therefore the £5 weighs in grams:

3x100 = 300g

To change to Kg: 300/1000 = 0.3 Kg

15(x + 3)2
Box the exponent (s)
please help

Answers

Answer:

  "2" is the exponent

Step-by-step explanation:

There is no exponent in your expression.

__

When the expression is typeset, the superscript text is considered to be an exponent:

  [tex]15(x+3){\boxed{^2}}[/tex]

When the expression is written in plain text, the exponent is indicated by a caret (^):

  [tex]\textsf{15(x+3)\^\ \!\!\boxed{\textsf{2}}}[/tex]

Answer:

[tex] {15x}^{2} + 90x + 135 \\ [/tex]

Step-by-step explanation:

[tex]15 {(x + 3)}^{2} \\ 15(x + 3)(x + 3) \\ 15 |(x(x + 3) + 3(x + 3)| \\ 15( {x}^{2} + 3x + 3x + 9) \\ 15( {x}^{2} + 6x + 9) \\ {15x}^{2} + 90x + 135 \\ [/tex]

How i can answer this question

Answers

Answer:

4k+11

Step-by-step explanation:

There you go. Happy to help.

3 In AABC, 2C = 90°, then which of the following is true? a) ABP = BCP + AC b) AC2 = AB? + BC2 c) BC2 = AB? + ACP d) AC = AB + BC ​

Answers

Answer:

a bit hard q

Step-by-step explanation:

becoz i am not good at algebra

plz help me find this answer offering 10 points for a answer !!

Answers

6a and 8a 4b and 2b. hope this helps

B =
Round your answer to the nearest hundredth.

Answers

Answer( angle b) = 41.82 °

Answer:

Angle B = 48.19

#Rounded off to the nearest hundredth after the decimal point

Step-by-step explanation:

As Seen in the diagram is a right angled triangle and by using the infamous laws of Trigonometry, we can use the Trigonometric ratios in an indirect sense to find our answer...

Now to solve this question we need to first see what values are given to us! So the values given to us are

Hypotenuse= 3

Adjacent= 2

C= 90° (since it is the angle opposite to the hypotenuse and if observed with every right angled triangle, it will always be the case)

B=?

A=?

Questions objective= find B

I shall provide a labelled version of right angled triangle which shall aid where is the adjacent, opposite or the Hypotenuse below

Now coming back to the question,

The Opposite side of the angle we are trying to find is the adjacent and there are many Trigonometric ratios but for the sake of the question, we will need to use the one affiliated with Cosine

the way we shall interpret it is quite simple

Cos ∅°=  [tex]\frac{Adjacent}{Hypotenuse}[/tex]

Now by interpreting the values from the diagram

Cos A°= [tex]\frac{2}{3}[/tex]

Now to find the actual value of a number that has an operation that disrupts the actual value, we only need to use the inverse of the operation on it to find the actual value

so by this statement we need to put an inverse of Cos

∴ A°= [tex]Cos^{-1}[/tex]([tex]\frac{2}{3}[/tex])

A°= 48.1896851

Now we need to subtract the value of 180° - (Angle A + Angle C)

by doing so we will get the value of 41.82 (rounded off to the nearest hundredth)

hence B= 41.82 °

We can add up all the values and it will be approximately be equal to 180 (keep in mind that some of these values of triangle are irrational due to which they never end)

Please do double-check it as I could've made a mistake too

Till then a Thank You, aa 5 Stars or even better, A BRAINIEST will make my day

Take care of yourself and I guess the answers complete :)

I need help with this

Answers

Square + Circle = 10Triangle + Triangle = 6Triangle + Circle = 5Firstly, we will solve for triangle:Here, Triangle + Triangle = 6So, 2 Triangles = 6or, Triangle = 6 ÷ 2or, Triangle = 3So, the value of Triangle is 3.Now, let us solve for Circle:Triangle + Circle = 5We know, Triangle = 3Therefore, 3 + Circle = 5or, Circle = 5 - 3or, Circle = 2Finally, we can easily solve for Square:Square + Circle = 10or, Square + 2 = 10or, Square = 10 - 2 = 8

Answers:

Square = 8Triangle = 3Circle = 2

Hope you could get an idea from here.

Doubt clarification - use comment section.

PLZ HELP
Use the distributive property to remove the parentheses.​

Answers

Answer:

I don't know if i did this correctly because i can't find my notes but i hoped i helped.

Step-by-step explanation:

Erica has $12 credit on her Cel-Tel phone card. It costs her $1 to make a phone call using her Cel-Tel card. Erica also has $15 credit on her MTT phone card. It costs her $2 to make a phone call using her MTT card. Which system of equations can be solved to find the number of calls, x, that Erica can make and have the same amount of money, y, on both phone cards?


yy==−2x+15−x+12
y = - 2 x + 15 y = - x + 12

yy==2x+15−x+15
y = 2 x + 15 y = - x + 15

yy==−2x−15−x−12
y = - 2 x - 15 y = - x - 12

yy==15x−212x−1
y = 15 x - 2 y = 12 x - 1

Answers

Answer: b

Step-by-step explanation:

Simplify (x^3 + 2x^2 - x) + (4x^3 + x^2 + x)

Answers

Answer: 5x^3 + 3x^2

Step-by-step explanation:

Answer:

Step-by-step explanation:

           6x2 - 8x - 2

Simplify   ————————————

              x - 1    

STEP

3

:

Pulling out like terms

3.1     Pull out like factors :

  6x2 - 8x - 2  =   2 • (3x2 - 4x - 1)

Trying to factor by splitting the middle term

3.2     Factoring  3x2 - 4x - 1

The first term is,  3x2  its coefficient is  3 .

The middle term is,  -4x  its coefficient is  -4 .

The last term, "the constant", is  -1

Step-1 : Multiply the coefficient of the first term by the constant   3 • -1 = -3

Step-2 : Find two factors of  -3  whose sum equals the coefficient of the middle term, which is   -4 .

     -3    +    1    =    -2

     -1    +    3    =    2

Observation : No two such factors can be found !!

Conclusion : Trinomial can not be factored

Polynomial Long Division :

3.3    Polynomial Long Division

Dividing :  3x2-4x-1

                             ("Dividend")

By         :    x-1    ("Divisor")

dividend     3x2  -  4x  -  1

- divisor  * 3x1     3x2  -  3x    

remainder      -  x  -  1

- divisor  * -x0      -  x  +  1

remainder          -  2

Quotient :  3x-1

Remainder :  -2

Final result :

 2 • (3x2 - 4x - 1)

 ——————————————————

       x - 1      

See results of polynomial long division:

1. In step #03.03

Find the slope of each line.
1)

Answers

Answer:

7/1 or 7

Step-by-step explanation:

because you rise (vertically) seven and run (horizontally) 1, so 7/1 but simplified it's just 7 so either is valid.

Graph: y =
|x – 4| + 2

Answers

This is a photo of answer

Answer:

  see attached

Step-by-step explanation:

The constants in the function shift the absolute value graph right 4 units and up 2 units. The attachment shows the translated function.

Elissa got a manicure and pedicure for $40. If she wants to give a 20% tip, how much would the tip be?​

Answers

Answer:

$8.01

Step-by-step explanation:

you multiply 40 with 0.20, and then add the answer of that (8) to the original price (40). so then the answer would be 48!

Which pairs of angles are alternate interior angles? Select all that apply.

There are two vertical parallel lines and a transversal. The angle formed by the transversal on the left of the first vertical line are labeled as 1, and 2, and the angle formed by the transversal on the right of the first vertical line are labeled as 3 and 4. The angle formed by the transversal on the left of the second vertical line are labeled as 5 and 6, and the angle formed by the transversal on the right of the second vertical line are labeled as 7 and 8.

Answers

Answer:

9 and 10 i dont know why they have us doing this confusing  stuff

Step-by-step explanation:

in a class of 55 21 study physics 24 study geography and 23 study economics and physics. if x students study all three subjects and 2x study non of the subjects find
1 the value of x
2 the number of students that study only physics
3 number of students that study only 2 subjects
solve usind venn diagram

Answers

The total number of students who studied only two subjects is 13.

The given parameters:

Total number of students, n = 55 Number of physics students = 21Number of geography students = 24Number of economics students = 23Number of students for the 3 subjects, = xNumber of students who studied non = 2x

The number of students who studied only two subjects can be determined by applying overlapping three sets formula as shown below;

[tex]Total = n(phy) + n(geo) + n(econ) + n(none)- n(double) - 2(all \ subjects)\\\\55 = 21 + 24 + 23 + 2x-n(double) - 2(x)\\\\55 = 68- n(double)\\\\n(double) = 68-55\\\\n(double) = 13[/tex]

Thus, the total number of students who studied only two subjects is 13.

Learn more about overlapping three sets here:  https://brainly.com/question/2041029

A class is putting ornaments on a Christmas tree.
One box of 30 ornaments cost $6.99. How
much does one ornament cost? (round to the
nearest cent)

Answers

Answer:

each ornament was about 5 cents

Step-by-step explanation:

Hope this helps

May I get Braineist pls

Investors buy a studio apartment for $150,000. Of this​ amount, they have a down payment of $37,500.

a. Their odwn payment is what percent of the purchase price?
b. what percent of the purchase price would a 67,500 down payment be?


a. The down payment is __?__% of the purchase price.
(Type a whole number.)

b. A 67,500 down payment would be __?__% of the purchase price.
(Type a whole number.)

Answers

Divide the down payment by the purchase price then multiply by 100 to get the percent.

A. 37,500 / 150,000 = 0.25

0.25 x 100 = 25%

B. 67,500/150,000 = 0.45

0.45 x 100 = 45%

HELP ASAP!! FULL RATING IF AWNSER!
ANSWER ALL PLEASE!!
IM STUCK!

Answers

Answer:

1: 3)

2: 2)

4: 3)

5: 4)

6: 4)

How do I find the scale factor‼️‼️

Answers

Bro I got no clue
..........

Answer:

Scale factor = Dimensions of the new shape ÷ Dimensions of the original shape.

A newspaper carrier can deliver 180 newspapers in three hours. How long would it take the newspaper carrier to deliver 120 newspapers?

Answers

Answer:

I think it's 2 hours.

Hope that helps you. x

Step-by-step explanation:

180 newspapers can be delivered in 3 hours,

60 minutes are in 1 hour.

180 divided by 3 = 60

60 x 2 = 120.

So 120 newspapers can be delivered in 2 hours.

Using the digits 1 to 9, without repeating any numbers, place a digit in each box that will create 3 equivalent ratios.

Answers

6:3 = 14:7 = 58:29

hope this is helpful!

I’ll give you a lot of points for this

Answers

Answer:

2. (3,4)

Step-by-step explanation:

Ok done.Thank to me :>

the sum of three numbers is 182, the second is 6 times bigger than the first and the third is 14 times bigger than the second number, what are those numbers?​

Answers

Answer:

The numbers are [tex]2,12,168[/tex]

Step-by-step explanation:

Let the numbers be [tex]a,b,c[/tex]

We have

The sum of three numbers is [tex]182[/tex]

[tex]a+b+c=182-----eqn1[/tex]

The second is [tex]6[/tex] times bigger than the first

[tex]b=6a-----eqn2[/tex]

The third is [tex]14[/tex] times bigger than the second number

[tex]c=14b-------eqn3[/tex]

Substituting in eqn 3

[tex]c=14\times 6a=84a ----eqn4[/tex]

Substituting in eqn 1

[tex]a+6a+84a=182\\\\91a=182\\\\a=2[/tex]

Substituting in eqn 2

[tex]b=6\times2=12[/tex]

Substituting in eqn 3

[tex]c=14\times12=168[/tex]

The numbers are [tex]2,12,168[/tex]

The first number is a , the second number is b , the third number is c

( 0 < a < b < c )

The sum of three numbers is 182

⇒ a + b + c = 182    (1)

The second is 6 times bigger than the first

⇒ b = 6a                 (2)

The third is 14 times bigger than the second number

⇒ c = 14b = 14.6a = 84a               (3)

(1),(2),(3): ⇒ a + 6a + 84a = 182

              ⇒ 91a = 182

              ⇒ a = 2

              ⇒ b = 6a = 6.2 = 12

              ⇒ c = 14b = 14.12 = 168

Those numbers are 2 , 12 , 168

ok done. Thank to me :>

Betty makes 40 cupcakes per hour to find the number of cupcakes baked in h hours use the equation f(h)=40 evaluate f(5) and explain what it means

Answers

Answer:

Step-by-step explanation:

f(h) = (40 cupcakes / hr)*h

f(5) represents the number of cupcakes baked in 5 hours:  200 cupcakes

How i can answer this question

Answers

Answer:

A. 2(x+y+1). lmk if you need any more awnsers

6. Which statement about this figure is true?

Answers

what statement and about what figure??

what is 12/3/5 simplified?

Answers

Answer:

1/4

Step-by-step explanation:

Divide both the numerator and denominator by the GCD 9 ÷ 9

36 ÷ 9

Reduced fraction: 1/4 Therefore, 9/36 simplified to lowest terms is 1/4.

2. A new pump is used to empty the pool in Exercise 1. The equation
W= -275(2t - 7) represents the gallons of water w that remain in
the pool t hours after pumping starts.
a. How many gallons of water are pumped out each hour?
b. How much water is in the pool at the start of pumping?
c. Suppose there are 1,000 gallons of water left in the pool. How long
has the pump been running?
d. After how many hours will the pool be empty?
e. Write an equation that is equivalent to w= -275(2t - 7). What
information does it tell you about the situation?

Answers

Answer:

a.  550 gallons/hr.

b.  1925 gallons

c.  1.268 hours

d.  3.5 hours

Step-by-step explanation:

W = -275(2t-7), where t is hours since pumping starts.  Let's rewrite this in standard line format of y = mx + b, where m is the slope and b the y-intercept (the value of y when x = 0).    In this case we'll use W and t instead of x and y.

W = -275(2t-7)

W = -550t + 1925

The 1925 figure represents the water volume when t = 0, the initial volume.  The slope of -550 is the rate at which water is being pumped out.  550 gallons/hr.

We can solve the equation for the hours required to make w=0:

W = -550t + 1925

0 =  -550t + 1925

550t = 1925

t = 3.5 hours

-

We can solve for when W = 1,000:

W = -550t + 1925

1000 = -550t + 1925

-925 = -550t

t = 1.682 hours

a.  550 gallons/hr.

b.  1925 gallons

c.  1.268 hours

d.  3.5 hours

We can also graph the function. attached.

 

1/2.5+1/5.8+1/8.11+...+1/97.100

Answers

Answer:

that's is the correct answer

Step-by-step explanation:

hope it helps

Other Questions
A rectangular garden is 35m long and 25m broad. find the perimeter of the rectangular garden. find the length of wire required to fence with 2 round. Find the perimeter of a regular polygon with an interior angle of 90 and side length 3.5 ft.Please be accurate and explain. is called Bhot which region of Nepal Write with example Clare wants to buy a used wide-screen TV that sells for $2,000 cash. She will make a down payment of $1,000 and then six monthly payments of $200. What is the full installment price and the annual interest rate ? Plants gather the sun's energy using molecules called What was the colonists' first defeat? 50 yards would be approximately how many meters Julia wants to make a vegetable garden in her backyard for 6 different vegetables. She makes 6 sections in thegarden. The dimensions of the garden are 3 sections long by 2 sections wide. Each section is in the shape of asquare. The area of the vegetable garden is 73.5 square feet. What is the length of the vegetable garden? Ill give BRAINLIST??What organs/organs systems does schizophrenia affect and how does it affect it? Select the correct answer. Which is a feature of a roth ira? a. You must pay tax if you withdraw your earnings once you're 59. 5 years old. B. You can withdraw your earnings once you're 59. 5 years old but must pay a penalty. C. You can withdraw your earnings once you're 59. 5 years old without paying a penalty. Why does Washington in USA is in darkness when Bengaluru has bright sunny day at the same point in time? ______________________________________________________________________________ Please help. Due Today what were the rules of the constitutional convention Which organelle is the powerhouse of the cell very far from earth (at r=[infinity]), a spacecraft has run out of fuel and its kinetic energy is zero. if only the gravitational force of the earth were to act on it (i.e., neglect the forces from the sun and other solar system objects), the spacecraft would eventually crash into the earth. the mass of the earth is me and its radius is re. neglect air resistance throughout this problem, since the spacecraft is primarily moving through the near vacuum of space. A bag of marbles has 5 blue marbles, 3 red marbles, and 6 yellow marbles. A marble is drawn from the bag at random. How many possible outcomes are there? O 3 0 5 O 6 O 14 the diagrams for my last question I can'put the other one just lmk if these 2 r it what is the horse power of an electric motor which can do by 1250 joule of work in 5 seconds Do you have to keep kosher to be Jewish? 1. Sarah didn't like the job because it was boring. -> The job 2. While they were travelling, they met lots of other tourists. During ..................................................................................................................... 3. Who did you dance with in that nightclub last night? Who .... 4. I was waiting for a bus when I met my boss. I met .... 5. I was excited when I found $5,000 in a bag. Finding ....