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
Andrej [43]
2 years ago
11

When deriving the distance formula, Eowyn starts with two points, A(x1,y1) and B(x2,y2). She then draws point C on a horizontal

line from point A and a vertical line from point B, giving it coordinates (x2,y1). In doing so, she believes she created a right triangle, with right angle C, which allows her to use the Pythagorean Theorem. She lets AC=b and BC=a, which means that AB=c by definition of the hypotenuse.
Next, she uses the Ruler Postulate to state that a=|x2−x1| and b=|y2−y1|. Then, combining this information with the Pythagorean Theorem, she is able to use the Substitution Property of Equality to state that (x2−x1)2+(y2−y1)2=AB2. Finally, she applies the Square Root Property of Equality to find AB=(x2−x1)2+(y2−y1)2−−−−−−−−−−−−−−−−−−√. She is able to ignore the possible negative root since distance is always positive, by definition.

Which statement about Eowyn's derivation is the most accurate?
Mathematics
1 answer:
kenny6666 [7]2 years ago
3 0

I'm stuck on this too

You might be interested in
Express the decimal as a percent. 0.053
velikii [3]

Hey this is very easy to learn! So to express a decimal as a percent all we have to do is multiply it by 100. So multiplying .053 by 100 would just mean moving the decimal point 2 spaces to the right.

So the answer would be 5.3%

I hope this helps!

-Ayden

8 0
3 years ago
Why is the value of q?
Rudiy27

Given:

QSR is a right triangle.

QT = 10

TR = 4

To find:

The value of q.

Solution:

Hypotenuse of QSR = QT + TR

                                 = 10 + 4

                                 = 14

Geometric mean of similar right triangle formula:

$\frac{\text { hypotenuse }}{\text { leg }}=\frac{\text { leg }}{\text { part }}$

$\Rightarrow \frac{14}{q} =\frac{q}{4}

Do cross multiplication.

$\Rightarrow14\times 4 =q\times q

$\Rightarrow 56 =q^2

Switch the sides.

$\Rightarrow q^2 =56

Taking square root on both sides.

\Rightarrow q =2 \sqrt{14}

The value of q is 2 \sqrt{14}.

8 0
3 years ago
Where are the parallelograms in this picture?
inysia [295]

Answer:

here the line A and H are parallel

7 0
2 years ago
In a box of marbles, the ratio of red marbles to total marbles is 2:5. the ratio of green marbles to total marbles is 3:10. if t
STALIN [3.7K]
Ratio:

Red : Total 
  2   :    5
 (x2)    (x2)
  4   :   10

Green : Total
  3   :       10

Total of red and green marbles = 4 + 3 = 7

Blue marbles = 10 - 7 = 3

10 parts = 40 marbles
1 part = 40 ÷ 10 = 4
3 parts = 4 x 3 = 12

Answer: There are 12 blue marbles.
7 0
2 years ago
Luke was given a gift card for a coffee shop. Each morning, Luke uses the card to buy
Ainat [17]

Answer:

$24

Step-by-step explanation:

a= $30-$12 = 6 cup of coffee

= 18÷6

= 3 (price for a cup of coffee)

= 3×2

= $6

a= $30-$6

a= $24

4 0
3 years ago
Other questions:
  • Given: The measure of arc EY = The measure of arc YI, m∠EXY = 80°, and m∠K = 25°.
    5·2 answers
  • A house has decreased in value by 26% since purchased if its current value is 185,00 what was its value when it was purchased
    6·1 answer
  • Plz help me with this
    14·1 answer
  • A transformation where a figure is turned around a fixed poing to create an image is called a
    14·1 answer
  • Justin purchased a 20 pound pumpkin for$9.80. How much did he pay per pound
    10·2 answers
  • One kilogram is approximately equal to 2.21 pounds. Find the number of pounds in 165 kilograms. Round to the nearest tenth of a
    10·1 answer
  • Find the area of the polygon to the nearest square inch.
    13·1 answer
  • What is the length of the diagonal of a rectangle that is 12 inches long and 6 inches wide?​
    6·1 answer
  • What is 34.982 + 45.8 + 3.4298=
    13·2 answers
  • Three out of every 20 students in ms. jones’ Math class earned a grade of A. What percent of the students earned a grade of A?
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!