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
IgorC [24]
3 years ago
10

Find x, if the distance end points is (x,1) and (4,4) with the total distance is the square root of 10.

Mathematics
1 answer:
Alex Ar [27]3 years ago
3 0
Okay, take a look at diagram 1 (I know it's rubbish I did it on paint :D), this shows all the information you've given in the question. The two coordinates and the distance between them.

Now if we draw additional lines on this diagram, we can make a right-angled triangle (this is on diagram 2). We can also work out the lengths of the additional sides because we know both coordinates at the end-points of the additional lines.

Finally because this is a right-angled triangle, Pythagoras' theorem must apply to its sides meaning
( \sqrt{10} )^2 = (x-4)^2 + 3^2
10 = (x-4)^2 + 9
(x-4)^2 = 1 \Rightarrow x-4 = 1
therefore x=5.

You might be interested in
PLEASE HELPP !! The ceiling of Stacy's living room is a square that is 25 ft long on each side. Stacy knows the diagonal of the
EleoNora [17]

Answer:

a) d = 36 ft. ( using Pithagoras´theorem )

b) d = 36 ft  ( Using ( function sin ) trigonometry

Step-by-step explanation:

a) Using Pythagoras´Theorem:

Diagonal (d) is the hypothenuse of a right triangle of side 25 feet, and according to Pythagoras´Theorem in a right triangle.

d²  =  a²  +  b²  

In this particular case  a =  b  =  25 feet then

d² =  (25)²  +  ( 25)²

d  = √ 2 * (25)²

d  = √2   * 25

d  =  1,414*25

d  =  35,35

d = 36 ft.

b) Using trigonometry:

We know that sin 45° = cos 45° =  √2 / 2

In a right triangle

sin α  =  opposite side / hypothenuse (d)

sin 45°  =  √2 / 2   =  25/ d

√2 *d  =  2* 25

d  =  50/√2

d  =  50 / 1,414

d  =  35,36

d = 36 ft

6 0
3 years ago
3xz (9xy+z)-2yz(x+y-z)
olga_2 [115]
Ghhgghhgggghggggvggg
4 0
3 years ago
A coach drives 360 miles at a speed of 60mph how long did the journey take
Dimas [21]

Answer:

6 1/2 hours

Step-by-step explanation:

not sure

4 0
3 years ago
n chemistry, the pH of a solution is defined by: pH space equals space minus log space left square bracket straight H plus right
slavikrds [6]

Answer:

The correct option is;

pH = 4.1

Step-by-step explanation:

The given information are;

The hydrogen ion [H⁺] concentration in tomato juice = 10 ^{-4.1}

The pH of a solution = -㏒{H⁺] =  -㏒( 10 ^{-4.1}) = -(-4.1) × ㏒(10) = 4.1

The pH of the of the tomato juice = 4.1

The pH is the term used to refer to the acidity of water with the range of pH values ranging from 0 to 14 where pH values of a solution lesser than 7 are considered acidic while pH values above 7 indicate a basic solution.

4 0
3 years ago
What is the difference between 29035 and -36198
TiliK225 [7]
29035 is a positive and -36198 is a negative
4 0
3 years ago
Other questions:
  • 56% in its simplest form
    8·1 answer
  • NEED HELP ASAP! 10 POINTS!
    7·2 answers
  • A bag contains 6 blue marbles, 8 green marbles, 9 red marbles, and 17 yellow marbles. What is the ratio of blue marbles to total
    13·1 answer
  • g Use the counting principle to determine the number of elements in the sample space. The possible ways to complete a multiple-c
    13·1 answer
  • For the school play 205 students buy tickets and 232 adults buy tickets all tickets cost 16 how much did the school make in tick
    11·1 answer
  • write each of the following word names as mixed if you purchase a hundred items that cost $0.25 each how much would the items co
    6·1 answer
  • If x equals 12 what is the answer to the problem below?<br> X+43+2=?<br><br> Please help me !!
    11·2 answers
  • Please help on this i dont get it at all!
    14·1 answer
  • Please help! Thank you
    9·1 answer
  • Factorise: (Using Algebraic Identities)<br> 64x^3-(4x-3y)^3
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!