In the diagram below B is the midpoint of AC if AB equals 2X and BC equals X squared -24 find the value of X and the length of AC

Answers

Answer 1

Answer:

  x = 6

  AC = 24

Step-by-step explanation:

The midpoint divides the segment into two congruent parts.

  AB = BC

  BC -AB = 0

  x^2 -24 -2x = 0

  (x -1)^2 = 25 . . . . . . add 25, write as a square

  x = 1 +√25 = 6 . . . . only the positive solution is of interest.

AC = 2(AB) = 2(2x) = 4(6) = 24

The value of X is 6, and the length of AC is 24 units.

Answer 2

If B is the midpoint

AB=BCx²-24=2xx²-2x-24=0x²-6x+4x-24=0(x-6)(x+4)=0x=6,-4

Distance is positive

x=6

AC

2(2x)4x4(6)24

Related Questions

What is the y-intercept of the line?

Answers

Answer:

1

Step-by-step explanation:

It’s either 1 or 1/2, I believe it’s 1 more though so try that :)

Jorge has 2% + 1 saved in his piggy bank. Lou Ellen has X-2 saved in the bank. What is
the minimum amount Jorge will have in savings for them to have $163 together. Letj
represent Jorge,

Answers

Answer:

yeyeyeeyeyeeyeey

Step-by-step explanation:

Can someone plz help Me?

Answers

Answer:

A

Step-by-step explanation:

because if you use a graph you can get it right you count the boxes and you get 4 units but please double check.

Answer:

A

Step-by-step explanation:

I’m getting really stuck on these questions, help?

Answers

Answer:

m<-1 and 13/15

Step-by-step explanation:

What is the least positive integer which when divided by 5 gives a remainder of 4, when divided by 6 gives a remainder of 5, when divided by 7 gives a remainder of 6, when divided by 8 gives a remainder of 7, when divided by 9 gives a remainder of 8, and when divided by 10 gives a remainder of 9

Answers

Answer:

  2519

Step-by-step explanation:

In each case, the remainder is 1 less than the divisor. This means the number of interest will be 1 less than the least common multiple of 5, 6, 7, 8, 9, 10.

The prime factors of these numbers are ...

  5 = 5

  6 = 2·3

  7 = 7

  8 = 2³

  9 = 3²

  10 = 2·5

The unique factors are 2, 3, 5, 7. When they are used to their highest powers, the resulting product is ...

  2³·3²·5·7 = 2520

The number of interest is 1 less than this, so is 2519.

2519 is the least positive integer that will give the required remainders.

Someone help me out on this math question?

Answers

Answer:

  A. discrete

  B. discrete

  C. continuous

  D. continuous

Step-by-step explanation:

When things are expressed in terms of whole numbers, the value is discrete. This is the case for A and B.

__

When the variable can have any rational or irrational value, it is a continuous variable. This is the case for C and D.

is y = 2/3x - 7 proportional or not?

Answers

Answer: No, it is not a direct proportion equation

Explanation:

Direct proportions are always in the form [tex]y = kx[/tex] where k is any nonzero real number. So for example, we could have the equation [tex]y = 9x[/tex]. The y intercept of any direct proportion is always zero. Visually, such equations will go through the origin.

Something like [tex]y = \frac{2}{3}x-7[/tex] has a y intercept of -7 and it doesn't fit the form [tex]y = kx[/tex], so it's not a direct proportion equation.

Pick the corrrect one form the dropdown

Answers

Answer:

easy

Step-by-step explanation:

Its very easy for any human to be able to see and compare data as when they are right next to eachother, so you can easily prove a good strong point

Help me, I'm really tired atm

Answers

Step-by-step explanation:

6/15 = 12/30 = 24/60 = 48/75

Answer:

Step-by-step explanation:

What is the sum of the addition equation 0.7 + 0.2 = ________?

Answers

Answer:

7+2=9 so the answer is 0.9

Step-by-step explanation:

If a dozen exercise books cost 144, what will 14 of the same books cost

Answers

168


So you take the 144 divide 12(the dozen) so we could find how much 1 cost, it was 12. You added 2 more books so we add(12x2)+(144). That equals to 168

Hope this helps!

The sum of three times a number and 5 is 32

Answers

Let the number be x.Therefore, by the problem3x + 5 = 32or, 3x = 32 - 5or, 3x = 27or, x = 27 ÷ 3or, x = 9

Answer:

The number is 9.

Hope you could get an idea from here.

Doubt clarification - use comment section.

[tex]\huge{\purple{\underline{\underline{\bf{\pink{ANSWER:-}}}}}}[/tex]

Let the no. be x.

[tex]:\implies\tt{3x + 5 = 32} \\ \\ \\ :\implies\tt{3x = 32 - 5} \\ \\ \\ :\implies\tt{3x = 27} \\ \\ \\ :\implies\tt{x = \frac{27}{3} } \\ \\ \\ :\implies\tt{x = 9}[/tex]

4. Para el siguiente triángulo rectángulo, encuentra la medida del lado desconocido.

Answers

Usa b^2 - c^2 = -a^2, (5)^2 - (13)^2 = b^2, 25 - 169 = -b^2, -144 = -b^2, b=12

who was often called the father of modern mathematics because he created analytic geometry and the cartesian coordinate system?

Answers

Answer:

I believe Descartes

Step-by-step explanation:

René Descartes was  one of the key figures in the Scientific Revolution of the 17th Century.  

please help anybody hm​

Answers

Answer:

its C

Step-by-step explanation:

im smart

The answer is C I just took the test right now

how many possible number of facemask and face shield can an online seller could sell to get an amount of the least php2 000 based on the data above​

Answers

7,000 if he sell them right

Solve the quadratic for x. Select all that apply.
x? + 7x - 30 = 0
O A. X=3
O B. X=-6
C. X=-10
D. X=-3
O E.X=5
O F.x=6

Answers

X = 3, -10
Hope this helps

A furniture maker used 5/6 of a can of paint to paint some chairs. He used 1/6 of a of paint for each chair. How many chairs did he paint? Write your answer as a fraction or as a whole or mixed number. ​

Answers

Answer:

5 chairs

Step-by-step explanation:

then you'd get 5 so the answer is 5.

Just divide 5/6 / 1/6,

Answer:

5

Step-by-step explanation:

This is a question of division, the total quantity of paint used will be the amount of paint needed per chair × the number of chairs;

This is an equation, which can be rearranged to give:

Number of chairs painted = total paint used/paint needed per chair

Total paint used = ⅚

Paint needed per chair = ⅙

Therefore:

Number of chairs painted = (⅚)/(⅙)

Number of chairs painted = ⅚ × 6

Number of chairs painted = 5

Plzzz help me.please reply fast

Answers

Answer:

x=458

Step-by-step explanation:

1729-810=919

919-790=129

810-129=681

681-112=569

112-1=111

569-111= 458 (which is the answer)

Answer:

I get 458, but please check the calculations.

Step-by-step explanation:

See attachment.  I worked down the pyramid until I has enough information to calculate x.  For example, 919 had to be the difference of (1729 - 810) for a sum of 1729.  129 had to be the difference of (919-790).  681 is the difference of (810 - 129).  And so on . . .

Find the value of each variable in the given figures

Answers

Answer:

q = 22

Step-by-step explanation:

(7q - 46)° + (3q+6)° = 180 (linear pair property)

7q - 46 + 3q + 6 = 180

10q - 40 = 180

10q = 180 + 40

10q = 220

q = 220/10 = 22

m∠ABD = (7q - 46)° = 7(22) - 46 = 154 - 46 = 108°

m∠DBC = (3q + 6)°  = 3(22) + 6 = 66 + 6 = 72°

Two plans for reaching a goal are given below. Plan A: Save $450 over the next 8 weeks by working 9 hours per week at $7. 20 per hour. Plan B: Save $450 over the next 6 weeks by working 15 hours per week at $6. 50 per hour. Which of the following is a true statement? a. Only plan A will work for achieving the goal. B. Only plan B will work for achieving the goal. C. Both plans will work for achieving the goal. D. Neither plan will work for achieving the goal.

Answers

Answer:

C, both plans will work for achieving the goal.

Step-by-step explanation:

For plan A, you must multiply 7.20 by 9, then multiply the product by 8. The answer is 526.4 This means that plan A will work, and more than the original goal will be saved up.

For plan B, you must multiply 6.50 by 15, then multiply the product by 6. The answer is 585. This is more than the original goal, so plan B would work as well.

This means that C is correct, because both plans will work for achieving the goal.

Answer:

C

Step-by-step explanation:

Edged 2022

Which numbers between 10 and 99 have digits that differ by 4 and add to 6

Answers

Answer:

A

Step-by-step explanation:

Correct option is A)

Let a 3-digit number ABC

Case (1)

If A=7, then B  and  C can be any digit but not 7

so, total 9 digits (0,1,2,3,4,5,6,8,9) can replace B and C

Then total such combinations =1(9)(9)=81

Case (2)

If B=7  then A can be any digit but not  0 and 7, because if A=0 it will be a 2-digit number.

And C can be any digit but not 7

Then total combinations =(8)(1)(9)=72

Case (3)

If C=7  then A can be any digit but not 0 and 7, because if A=0 it will be a 2-digit number.

And B can be any digit but not 7

Then total combinations =(8)(9)(1)=72

So, total numbers between 99 and 1000 which have exactly one of their digits as 7 are =81+72+72=225

I WILL GIVE BRAINLIEST Hey can someone tell me simply HOW to come to this conclusion? im a bit confiused as to how, dont want to cheat i want to learn. (P.S ive missed multiple grades which has left me with alot of gaps to fill.)

Answers

Answer:

Option B, x + 2y = 8

Step-by-step explanation:

When two lines are parallel, their gradients are equal i.e M1 = M2

(Note: When two lines are perpendicular, the product of their gradients is equal to - 1 i.e M1M2 = -1)

Gradient of a line = (y2 - y1)/(x2 - x1)

Using coordinates (-4,0) and (4,-4)

Gradient of the line = (-4-0)/[4-(-4)]

= -4/4+4

= -4/8

= -1/2

Therefore gradient of the parallel line is -1/2

Equation of a line using slope intercept form

(y - y1) = m(x - x1)

The parallel line passes through point (2,3)

y - 3 = -1/2 ( x - 2)

2(y - 3) = -1(x - 2)

2y - 6 = -x + 2

2y + x = 8

I hope this helps you to learn....

please help asap please

Answers

Answer:

Step-by-step explanation:

slope is 4    y is 3

Answer:

slope is 4 y = 3

Step-by-step explanation:

Plz mark as brainliest

elena went to a sporting goods store that was having a sale she bought a tennis racket and 3 cans of tennis balls the tennis racket is normally 43 all tennis rackets are marked done 15 percent one can of tennis balls is 4 the tennis balls are not marked done the sale tax is 8.5 how much will she pay for everything including tax

Answers

The amount that she will have to pay for everything is $52.68.

First step is to calculate the cost of 3 can of tennis ball

Cost of cans=3 x $4

Cost of cans=$12

Second step is to calculate the discount

Discount=15% x $43

Discount=$6.45

Third step is to calculate the cost of total racket

Total racket=$43 -$6.45

Total racket=$36.55

Fourth step is to calculate the amount that Elena will pay including tax

Amount=($12 + $36.55) + [($12 + $36.55)x 0.085]

Amount=$48.55 + ($48.55 x 0.085)

Amount=$48.55+$4.13

Amount=$52.68

Inconclusion the amount that she will have to pay for everything is $52.68.

Learn more about tax here:https://brainly.com/question/25033929

How long does it take for sunlight to reach earth? Show Work!

Answers

Answer: 8.3 minutes

Step-by-step explanation:

The time t may be obtained using the speed distance equation s=d/t. Rearranged to solve for time it would be: t=s/v, where s is the distance between the Sun and Earth and v is the speed of light.

Answer: The Sun is 93 million miles away, so sunlight takes 8 and 1/3 minutes to get to us.


Light from the Sun takes about 5 and 1/2 hours to reach it and roughly the same time to return to Earth. By the time the light reaches us, it has spread out so much that the planet looks very dim, and requires a good telescope to spot. Photo of Pluto and its moon Charon, as seen with the Hubble Space Telescope in 1994.

Sunlight travels at the speed of light. Photons emitted from the surface of the Sun need to travel across the vacuum of space to reach our eyes. The short answer is that it takes sunlight an average of 8 minutes and 20 seconds to travel from the Sun to the Earth

Picture:

A print shop charges $20 to set up the graphic for printing t-shirts. The store then charges $12 per shirt for purchasing up to 10 shirts. The charge decreases to $10 if a customer purchases 10-20 shirts. If a customer purchases more than 20 shirts, each shirt will cost $7. What will it cost a soccer team to have 15 shirts printed?​right and grab a piecewise function that models the situation answer the question

Answers

Answer:

see below for the piecewise function$170 for 15 shirts

Step-by-step explanation:

The cost function c(n) for n T-shirts can be written according to the problem statement:

  [tex]c(n)=\begin{cases}20+12n&\text{for }n<10\\20+10n&\text{for }10\le n\le20\\20+7n&\text{for }n>20\end{cases}[/tex]

For an order of 15 shirts, the cost will be ...

  c(15) = 20 +10(15) = 170

The soccer team's 15 shirts will cost $170.

solve 2y - 18 = -26 for y

Answers

Answer:

y=-4

Step-by-step explanation:

2y-18=-26

    2y=-26+18

        =-8

      y=-8÷2

        =-4

Simon walks a total of 45.55 miles in march sand 35.7 miles in April.


How many miles does Simon walk in all march and April?

Enter your answer in the box.


|__|

Answers

Answer:

[tex]81.25[/tex]

[tex]45.55 + 35.7[/tex]

I don’t anderstands but i wanna help

Answers

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