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
avanturin [10]
3 years ago
8

If B is the midpoint of AC, AB = 8x + 5, and BC = 5x2 - 16, then find x and AC

Mathematics
1 answer:
Murljashka [212]3 years ago
5 0

Answer:

Step-by-step explanation:

AB = 8x + 5

BC = 5x² - 16

5x² -  16 = 8x + 5

5x² - 8x - 21 = 0

Quadratic formula

x = [8 ± √(8² – 4·5(-21))] / [2·5]

 = [8 ± √484] / 10

 = [8 ± 22] /10

 = -1.4, 3

-1.4 is an extraneous solution.

x = 3

AB = 8x+5 = 29

AC = 58

You might be interested in
There are many campers at Camp Lots of Fun. This morning, 4 kids went home sick. Of the remaining campers, 18 kids went hiking a
erastovalidia [21]

Answer:

63

Step-by-step explanation:

You would add 41 + 18 + 4, which obviously gets you 63. Hope this helped!

8 0
3 years ago
Solve tan X = 2cot X
vichka [17]
If x = 1 the the answer would be <span>2.01715045524.</span>
4 0
3 years ago
What is the simplified form of the quantity of x plus 4, all over the quantity of 7 − the quantity of x plus 3, all over the qua
scoundrel [369]
\frac{x + 4}{7} -\frac{x + 3}{x + 5} =\frac{(x + 4)(x + 5)}{7(x + 5)} -\frac{7(x + 3)}{7(x + 5)} =\frac{x(x + 5) + 4(x + 5)}{7(x) + 7(5)} - \frac{7(x) + 7(3)}{7(x) + 7(5)} =\frac{x(x) + x(5) + 4(x) + 4(5)}{7x + 35} - \frac{7x + 21}{7x + 35} =\frac{x^{2} + 5x + 4x + 20}{7x + 35} -\frac{7x + 21}{7x + 35} =\frac{x^{2} + 9x + 20}{7x + 35} - \frac{7x + 21}{7x + 35} =\frac{(x^{2} + 9x + 20) - (7x + 21)}{7x + 35} =\frac{x^{2} + (9x - 7x) + (20 - 21)}{7x + 35} =\frac{x^{2} + 2x -1}{7x + 35}
3 0
2 years ago
What is the best way to gather information for each of the scenarios?
topjm [15]

(a) The team captain wants to know what his teammates eats before a match

Team captain know by taking a survey of teammates

(b) The team captain wants to know who can score most goals against the best player

This can be known by observation of games. so its observational study

(c) The team captain wants to know how praising the affects the teammates performance.

This can be known by experiment

(d) The team captain wants to know what other sports teammates play

This can be known by observation of games. so its observational study


4 0
3 years ago
Read 2 more answers
Which of the follwing equations has a quotient with a remainder?
Reptile [31]

Answer: Choice 2) A, B, C

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

Explanation:

Use a calculator to find that,

  • 946/32 = 29.5625
  • 1157/11 = 105.1818 approximately
  • 3524/44 = 80.0909 approximately
  • 37392/82 = 456

The first three results have a decimal portion as the answer. So there is a remainder here. The remainder is the leftover bit that couldn't make another full value. Only choice D results in a whole number that isn't a decimal value, so this does not have a remainder.

As a smaller example, let's say we had 20 cookies and 3 people. If we want to divide the cookies evenly, then each person gets 20/3 = 6 full cookies and there would be 2 cookies left over (6*3 = 18 are eaten so 20-18 = 2 is left over). Notice that 20/3 = 6.67 approximately. The non-whole number decimal value indicates we have a remainder. If we had 21 cookies, then each person gets 21/3 = 7 full cookies with nothing left over, so there's no remainder here.

4 0
3 years ago
Other questions:
  • A toll bridge charges $1.00 for passenger cars and $2.50 for other vehicles. suppose that during daytime hours, 60% of all vehic
    10·1 answer
  • Which three lengths CANNOT be the lengths of the sides of a triangle? A. 23 m, 17 m, 14 m B. 11 m, 11 m, 12 m C. 5 m, 7 m, 8 m D
    8·2 answers
  • Math help please? w/ only two questions.
    8·1 answer
  • 2. Using the histogram above, determine the grade students scored with the highest frequency.
    6·2 answers
  • Slove for x 2m-nx=x+4
    6·1 answer
  • Each morning librarians place 560 books on a book shelf in the school library. Each student that visits library that day takes e
    7·1 answer
  • Could somebody please help me?:) thanks !
    11·1 answer
  • HELPPPPPPPPPP this is due soon!
    13·1 answer
  • Explain please i need help
    10·2 answers
  • Which equation can be used to find A, the area of the parallelogram shown?
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!