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
ddd [48]
3 years ago
9

Special right triangles

Mathematics
1 answer:
Wittaler [7]3 years ago
8 0
A cute triangle , i believe
You might be interested in
A basketball player shoots a basketball that reaches a height above 15 feet before landing back on the ground exactly after 7 se
Papessa [141]

Answer:

I and IV

Step-by-step explanation:

Since the height of the basketball reaches above 15 feet, hence the maximum of the function should be greater than 15 feet. Also at 7 seconds, the ball is on the ground, hence f(7) = 0 feet

The maximum of a function is at x = -b/2a

i) f(x) = -(x-3)² + 16 = -(x² - 6x + 9) + 16 = -x² + 6x + 7

The maximum of a function is at x = -b/2a = -6 / 2(-1) = 3

f(3) = -(3-3)² + 16 = 16 > 15

Also f(7) = - (7 - 3)² + 16 = 0

Hence this option is correct

ii) f(x) = -x² + 8x - 7

The maximum of a function is at x = -b/2a = -8 / 2(-1) = 4

f(4) = -4² + 8(4) - 7 = 9 < 15   not correct

Also f(7) = - 7² + 8(7) - 7 = 0

Hence this option is not correct since the maximum f(4) = 9 < 15  

iii)  f(x) = -(x-3)² + 14 = -(x² - 6x + 9) + 14 = -x² + 6x + 5

The maximum of a function is at x = -b/2a = -6 / 2(-1) = 3

f(3) = -(3-3)² + 14 = 14 < 15

Also f(7) = - (7 - 3)² + 14 = -2

Hence this option is not correct since the maximum f(4) = 9 < 15 and f(7) ≠ 0

iv)f(x)  = -x² + 6x + 7

The maximum of a function is at x = -b/2a = -6 / 2(-1) = 3

f(3) = -(3)² + 6(3) + 7 = 16 > 15

Also f(7) = - (7)² + 6(7) + 7 = 0

Hence this option is correct

3 0
3 years ago
There is a parallelogram ABCD with diagonals AC and BD. The diagonals AC and BD intersects each other at point E. Side AB is con
grandymaker [24]

Answer:

SAS theorem

Step-by-step explanation:

Given

\square ABCD

\[ \lvert \[ \lvert AB =\[ \lvert \[ \lvert CD

\angle BAC = \angle  DCA

Required

Which theorem shows △ABE ≅ △CDE.

From the question, we understand that:

AC and BD intersects at E.

This implies that:

\[ \lvert \[ \lvert AE = \[ \lvert \[ \lvert EC

and

\[ \lvert \[ \lvert BE = \[ \lvert \[ \lvert ED

So, the congruent sides and angles of △ABE and △CDE are:

\[ \lvert \[ \lvert AB =\[ \lvert \[ \lvert CD ---- S

\angle BAC = \angle  DCA ---- A

\[ \lvert \[ \lvert BE = \[ \lvert \[ \lvert ED or \[ \lvert \[ \lvert AE = \[ \lvert \[ \lvert EC  --- S

<em>Hence, the theorem that compares both triangles is the SAS theorem</em>

4 0
2 years ago
Find the circumference and area of a circle with diameter 22 ft. Express your answer in terms of π.
Ray Of Light [21]

Answer:

69.12ft

Step-by-step explanation:

4 0
3 years ago
What is 0.05 repeating as a fraction ?
grin007 [14]
This is the best I got Require to make 2 equations with the same repeating part and subtract them to eliminate the repeating part.

begin by letting x = 0.5555555................. (1)

To obtain the same repeating part after the decimal point need to multiply by 10

hence 10x = 5.555555........................(2)

It is important to obtain 2 equations in x, where the recurring part after the decimal points are exactly the same.

now subtract (1) from (2) to obtain fraction

(2) - (1) : <span>9x=5⇒x=<span><span>59</span></span></span>

8 0
3 years ago
What is the 20th term in the sequence f(n)=19-6×n for n≥0?
ohaa [14]

Answer:  -101

Step-by-step explanation:  f(n) = 19-6*n

f(20) = 19 - 6*20

f(20) = -101

4 0
2 years ago
Other questions:
  • A cylindrical grain bin has a radius of 7 feet and a height of 25 feet. How many cubic feet of grain can the bin hold
    10·1 answer
  • Solve for s.<br><br> 15.32 − 8.4s = –9.65 + 14.3s
    13·2 answers
  • Write an equation parallel to the line determined by the points (15, -6) and (-3, 13), through: (4, 2)
    6·2 answers
  • To go on the class trip, Chang needs at least $125. He has saved $45, and he makes $7 an hour at his job. What is the minimum nu
    9·1 answer
  • Please help me solve this problem!!
    15·1 answer
  • Danielle makes the claim that when the polynomial x^2-3x-10 is divided by x-5, the remainder is 0. Use what you have learned abo
    10·1 answer
  • 8 inches is which fraction of 1 yard?
    8·1 answer
  • Newborn babies: A study conducted by the Center for Population Economics at the University of Chicago studied the birth weights
    11·1 answer
  • PLS HELP! What is 4 1/3 multiplied by 2 1/4
    15·1 answer
  • Dean has two eletric train sets A and B.each train is on its own circular track he starts both trains at the same time train a r
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!