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

Y=-3x+1 y+5=-3(x-2) what do the following two equations represent A)The same line B)Distinct parallel lines C)Perpendicular Lines D)Intersecting, but not perpendicular lines

Answers

Answer:

C) perpendicular lines

Please help me its due tommorow

Answers

Answer:

read below for answers

Step-by-step explanation:

7. 4d + 6 =42

d = 9

8. -3y + 12 = -48

y = 20

9. k/2 + 9 = 30

k = 42

10. g/3 - 7 = 15

g = 66

11. z/5 + 3 = -35

z = -190

12. -9h - 15 = 93

h = -12

13. -3(n + 5) = 12

n = -9

14. -17 + b/8 = 13

b = -32

15. 7( c- 12 ) = -21

c = 9

16. -3 + p/7 = -5

p = -14

17. 46 = -6t - 8

t = -9

Share 120 in the ratio 3:5:7

Answers

Answer:

24:40:56

Step-by-step explanation:

3+5+7=15

120/15=8 1 Ratio is 8

3x8=24

5x8=40

7X8=56

i dont know if its the easiest method

A half circle is joined to an equilateral triangle with side lengths of 12 units.

What is the perimeter of the resulting shape? Type your answer in the box below.

Answers

Answer:

P = 12 pi units + 24 units.

Step-by-step explanation:

All sides of an equilateral triangle are of the same length.  Here that length is 12 units.  We take a circle of diameter 12 units and cut it in half through its center.  Finally, we join the triangle (remembering that all of the side lengths are 12 units) to the half circle of diameter 12 units.

The half circle portion of the resulting shape has circumference 2(pi)(12 units) divided by 2, or 12 pi units.  This is half the formula C = 2(pi)(r).  The two non-attached sides of the triangle have a total length of 24 units.

Thus, the perimeter of the resulting figure is P = 12 pi units + 24 units.

PLS HELP ME I DON'T GET IT

Answers

Answer:

  (a) $14,912 saved

  (b) $58,000 aid needed

Step-by-step explanation:

(a)

Nola is saving $200 each month. That means she will have saved 60 times that amount after 60 months:

  60 × $200 = $12,000

When she adds that to her current savings she will have saved a total of ...

  $12,000 +2,912 = $14,912 . . . by the time she starts college

__

(b)

The figure is telling you Nola will need $72,912 for 4 years of college. If she funds $14,912 from her own savings, then she will need an additional amount of ...

  $72,912 -14,912 = $58,000 . . . . amount of financial aid needed

Choose the graph that matches the following system of equations:

x + y = 4
2x + 3y = 18

Picture of coordinate plane with line y equals negative x plus 4 and line y = equals negative 2 thirds x plus 6. They intersect at negative 6, 10.
Picture of coordinate plane with line y equals x minus 4 and line y equals negative 2 thirds x plus 6. They intersect at 6, 2.
Picture of coordinate plane with line y equals x minus 4 and line y equals negative 2 thirds x minus 6. They intersect at negative 1.2, negative 5.2.
Picture of coordinate plane with line y equals x plus 4 and line y equals negative 2x plus 6. They intersect at 0.67, 4.67.

Answers

Answer:

Line x-intersect: -6

y-intersect: 10

Step-by-step explanation:

X + y = 4

x = 4-y

2(4-y) + 3y = 18 (substitution)

8-2y+3y = 18

y = 18-8

y = 10

x + 10 = 4

x = -6

This is so stressful, i’ve tried everything and I don’t get this at all.

Answers

n = 5

These are similar triangles so their sides are proportional. The scale factor is the smaller triangle to the large triangle is

5/12.5 = 4/10 = 2/5

So if AB corresponds to QR (2 corresponds to n) then n = 5

Complete the table if x & y vary inversely

Answers

Answer:

(. ❛ ᴗ ❛.)(. ❛ ᴗ ❛.)(. ❛ ᴗ ❛.)(. ❛ ᴗ ❛.)(. ❛ ᴗ ❛.)

25.4 as mixed number

Answers

Answer:

6.25

Step-by-step explanation:

I believe you were trying to put a fraction in but accidentally pressed the period.

25/4

6 1/4

6.25

Answer:

25 2/5

Step-by-step explanation:

Hope it's right and it helps.

What is the slope-intercept equation of the line containing the points (–5, 22) and (4, 49) ?

Answers

Answer:

[tex]y=3x+37[/tex]

Step-by-step explanation:

Determine slope:

[tex]Slope=m=\frac{\Delta y}{\Delta x}=\frac{y_2-y_1}{x_2-x_1}=\frac{49-22}{4-(-5)}=\frac{27}{4+5}=\frac{27}{9}=3[/tex]

Determine y-intercept:

[tex]y=mx+b[/tex]

[tex]49=3(4)+b[/tex]

[tex]49=12+b[/tex]

[tex]37=b[/tex]

Final equation:

[tex]y=3x+37[/tex]

how do I do this question?

Answers

Answer:

x = (y +2)/3

Step-by-step explanation:

y= 3x-2

y+2=3x

x=(y +2)/3

given the polynomial 6x^4+3x^3-7x^2+4x+5 choose all the following statements that are true?




A. The polynomial has a degree of 6

B. The polynomial has a leading coefficient of 4

C. The polynomial has 4 terms

D. The polynomial has a degree of 4

E. The polynomial has a leading coefficient of 6

Answers

Answer:

D and E are true

Step-by-step explanation:

The degree of a polynomial is the value of the largest exponent of the variable within the polynomial, that is the term

6[tex]x^{4}[/tex]

Thus the polynomial is of degree 4 → D

The leading coefficient is the coefficient of the variable with the largest exponent, that is

6[tex]x^{4}[/tex]

The leading coefficient is 6 → E

C= 5 by 9 (F − 32)where F is the temperature in °F and C is the temperature in °C. Convert the temperature −10℉ into ℃ .Give your answer to 2 d.p.​

Answers

Answer:

-23.33 °C

Step-by-step explanation:

C = 5/9 (-10 - 32)

C = 5/9 (-42)

C = -23.3333 ≈ -23.33 °C

hope it helps :)

mark brainliest!

10/11 x 3/7 x 1/2 Multiply. Write your answer as a fraction in the simplest form.

Answers

The simplest form to this equation would be 15/77

please mark me brianliest if i was correct!

Fractions are written as a ratio of two integers. The product of the fractions in its simplest form is 15/77

Simplification of fractions

Fractions are written as a ratio of two integers

Give the expression

10/11 x 3/7 x 1/2

This can also be written as:

10/2 * 1/11 * 3/7

= 5/11 * 3/7

= 15/77

Hence the product of the fractions in its simplest form is 15/77

Learn more on fractions here: https://brainly.com/question/78672

#SPJ2

Katherine Johnson is best known for her work on ________.

Answers

Answer:

Pretty sure she was best known for calculating flight paths of spacecraft.

100 points !!!!!1 Drag the answers to match the inequality and the situation it represents. c<10 c>10 c<20 c>20

Answers

Hi!

c < 10

This means that c is less than 10. Any number smaller than 10 works, such as 7, -4, 5.6.

c > 10

This means that c is greater than 10. Any number greater than 10 works, such as 12, 58, 10.9.

c < 20

This means that c is less than 20. Any number smaller than 20 works, such as 6, -2, 19.7.

c > 20

This means that c is greater than 20. Any number greater than 20 works, such as 21, 74, 20.5.

Hope this helps! Have a great day :D

Answer:

here are the answers

Step-by-step explanation:

Question in picture

Answers

Answer:(-8,6) (-5,8

Step-by-step explanation:

Daniel went to Target and bought a magazine for $5.99, a book for $15.99, and a DVD for $20.99. What was his total bill including 6% sales tax?

Answers

5.99+15.99+20.99= 42.97
.06 times 42.97= 2.58
2.58+42.97= 45.55

helppppppppppppppppppppppppppppp

Answers

Answer:C

Step-by-step explanation:

I seraph it up

Answer:

Latisha works x hours a day.

No. of hours Demetrius works = x+1 a day.

No. of working days a week = 5

No. of hours Demetrius works weekly =

= 5(x+1)

which can also be written as 5x+5

So the c option is correct.

Help again please
A stack of 400 pieces of paper is 1.800 inches tall.
A. Derion guesses that each piece of paper is 0.015 inches thick. Explain how you know that Derion’s answer is not correct.

B. Compute the thickness of each piece of paper. Show your reasoning.

Answers

Think the answer may of be A.

Gloria likes to knit scarves to give as gifts to her friends and family. She can knit 1 over 4. of a scarf in 3 over 4. of an hour. If she continues to knit at the same rate, how many hours will it take her to knit 1 scarf?

Answers

Answer:

I don't know

Step-by-step explanation:

Gloria will knit 1 scarf in 3 hours.

What is multiplication?

Multiplication is a mathematical arithmetic operation. It is also a process of adding the same types of expression for some number of times.

Example - 2 × 3 means 2 is added three times, or 3 is added 2 times.

Given:

Gloria likes to knit scarves to give as gifts to her friends and family.

She can knit 1 over 4 of a scarf in 3 over 4 of an hour.

Simplifying,

She can knit 1/4 of a scarf in 3/4 of an hour.

To find the time:

1/4 of a scarf in 3/4 of an hour.

Multiply by 4,

4 x 1/4 of a scarf in 4 x 3/4 of an hour.

1 scarf in 3 hours.

Therefore, she will take 3 hours to knit 1 scarf.

To learn more about the multiplication;

https://brainly.com/question/19634536

#SPJ5

Given that p²,q² are two roots of x²-x+16=0.
Form another equation with roots 1/p,1/q.

Answers

Answer:

  x² -3/4x +1/4 = 0

Step-by-step explanation:

Consider the two equations in factored and expanded forms:

  (x -p²)(x -q²) = x² -(p²+q²)x +p²q² = 0   ⇒   p²+q² = 1, p²q² = 16

and

  (x -1/p)(x -1/q) = x² -(1/p+1/q)x +1/(pq) = 0

Consider the squares of the sum and product of roots:

  constant term: (1/(pq))² = 1/(p²q²) = 1/16   ⇒   1/(pq) = √(1/16) = 1/4

  x-term: (1/p +1/q)² = (p +q)²/(pq)² = (p² +q² +2pq)/(p²q²)

  = (p² +q²)/(p²q²) +2/(pq)

  = 1/16 +2/√16 = 9/16   ⇒   (1/p +1/q) = √(9/16) = 3/4

Then the equation with roots 1/p and 1/q is ...

  x² -3/4x +1/4 = 0

Choose the slope-intercept form of the equation of the line that passes through (-2, 4) and is perpendicular to the graph of 2x + y = -20.

Answers

Y= x/2 + 5 (not sure)

help me with this question plz with an explanation

Answers

Answer:

374mm squared

Step-by-step explanation:

Bottom rectangle can be cut off to equal 52mm, by multipling 4 by 13

the rest is 14*23, which equals 322mm

add those together to get 374mm squared

Answer:

374 square millimeters

Step-by-step explanation:

First, we can split the shape into 2 rectangles.

This will give us a rectangle with a width of 13 and 10.

Let's work out 1 rectangle at a time.

Area of a rectangle=Width times by legth

13*18=234- This is the area of 1 of the rectangles.

10*14=140- This is the area of the second rectangle

Now we add the areas together to get 374 square millimeters, which is the area of this figure.

A local flower shop advertises that 4 out of every 5 flower seeds will grow. If Janie plants 40 of these flower seeds in her garden, how many seeds can she expect to grow?

Answers

32 seeds
4:5 ratio
4x2 | 5x2
8:10
40/10 = 4
8 x 4

ANSWER IT!!! I ONLY HAVE MINUTES ​

Answers

Answer:

D

Step-by-step explanation:

5 + n is the sum of 5 and a number

amd then "less than or equal to -7" represents the no more than -7

Answer:

D

Step-by-step explanation:

To the moderator that deleted my answer, that was not necessary in the slightest. Go back to reporting bots, not removing correct answers that are put there to help people

solve the equation. 2(3x-4)=3x+1

Answers

Answer:

x=3

Step-by-step explanation:

Q4
An ice cube measures 2 cm by 2 cm by 2 cm.
A)What is its volume?
B) Is there enough room in a container measuring
8 cm by 12 cm by 10 cm for 100 ice cubes?

Answers

Answer:

A. [tex]8cm^{3}[/tex] B. Yes

Step-by-step explanation:

2*2*2=8cm cubed

8*12*10=960 which is greater than 800

Answer:

Step-by-step explanation:

2 x 2 x 2 = 8

the volume is 8 cm^3

8 x 12 x 10 = 960 cm^3

8 / 2 = 4

12 / 2 = 6

10 / 2 = 5

4 x 6 x 5 = 120

you can fit up to 120 cubes into the container

HELP HELP HELP HELP HELP What is the range of the data shown in this stem-and-leaf plot?

Stem Leaf
1 3 7 7
2 2 4 4 4 5
3 1 5 8 9
4 0 6 7
Key: 2|1=21

Answers

Answer:  34

======================================================

Explanation:

The smallest data value is 13. This is due to the stem 1 and leaf 3.

The largest is 47. This is from the stem 4 and leaf 7.

The span between these items is 47-13 = 34

Jamar drove 228 miles and used 6 gallons of gas.
a) How many miles/gallon did he get on the trip?

b) On another trip, he used 9 gallons of gas. How far did he travel?

Answers

Step-by-step explanation:

a)

well, it is kind of written already :

228 miles and 6 gallons.

so, miles/gallon = 228/6 = 38 miles/gallon.

b)

it is not mentioned, but I guess we have to assume that he got the same miles/gallon ratio on this trip as well.

so, again

38 miles/gallon

and he used 9 gallons.

so, he drove 38×9 = 342 miles

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