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
qwelly [4]
3 years ago
7

Explain the distance formula. Then use it to calculate the

Mathematics
2 answers:
34kurt3 years ago
8 0

Answer:  The required distance between the points between A(1, 1) and B(7, −7) is 10 units.

Step-by-step explanation:  We are given to explain the distance formula. Also, to calculate the distance between A(1, 1) and B(7, −7).

<em><u>Distance formula :</u></em>  The distance between any two two points with co-ordinates (a, b) and (c, d) is given by

D=\sqrt{(c-a)^2+(d-b)^2}.

Therefore, the distance between the points A(1, 1) and B(7, −7) is given by

D\\\\=\sqrt{(7-1)^2+(-7-1)^2}\\\\=\sqrt{36+64}\\\\=\sqrt{100}\\\\=10.

Thus, the required distance between the points between A(1, 1) and B(7, −7) is 10 units.

Alex777 [14]3 years ago
6 0

Answer:

dAB=10\ units

Step-by-step explanation:

we know that

The <u>distance formula</u> is derived by creating a triangle and using the Pythagorean theorem to find the length of the hypotenuse. The hypotenuse of the triangle is the distance between the two points

The formula to calculate the distance between two points is equal to

d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}

we have

A(1, 1) and B(7, −7)

Let

(x1,y1)=A(1, 1)

(x2,y2)=B(7, −7)

substitute the given values in the formula

dAB=\sqrt{(-7-1)^{2}+(7-1)^{2}}

dAB=\sqrt{(-8)^{2}+(6)^{2}}

dAB=\sqrt{64+36}

dAB=\sqrt{100}

dAB=10\ units

You might be interested in
Plsss help no one answered the other times I put this question
svetlana [45]

Answer:

a) <em>The equation</em> (10s + 8w) <em>represents </em><em>the </em><em>calories </em><em>Bridget </em><em>ate </em><em>on </em><em>Monday </em><em>and </em><em>the </em><em>equation</em> (20s + w) <em>represents </em><em>the </em><em>calories</em><em> </em><em>she </em><em>ate</em><em> </em><em>the </em><em>next </em><em>day.</em>

<em>b)</em><em> </em><em>The </em><em>number </em><em>of </em><em>calories</em><em> </em><em>in </em><em>each </em><em>strawberry</em><em> </em><em>is </em>4 <em>and </em><em>the </em><em>number </em><em>of </em><em>calories </em><em>in </em><em>each </em><em>vanilla</em><em> </em><em>wafer</em><em> cookie</em><em> </em><em>is </em>19. The solution is s= 4 and w = 19.

Step-by-step explanation:

For part A, Bridget ate 10 strawberries and 8 vanilla wafer cookies on Monday. Since the the number of calories in a strawberry is <em>s</em> and the number of calories in a vanilla wafer cookie is <em>w </em>, the number of calories Bridget ate on Monday is <em>10s + 8w</em><em>.</em><em> </em>The next day, Bridget ate 20 strawberries and 1 vanilla wafer cookie. Hence, the number of calories Bridget ate on the next day is 20s<em> + w</em>.

For part B,

we will create two different simultaneous equations.

Equation 1: 10s + 8w = 192

Equation 2: 20s + w = 99

We need to find one of the terms first to solve the other term. For this case, I will solve for w first.

Multiply the first equation by 2.

Equation 3: 20s + 16w = 192*2 = 384.

Now, subtract equation 2 from this new equation.

Equation 4:

(20s + 16w) - (20s + w) = 384 - 99

20s + 16w - 20s - w = 285

15w = 285

This leaves only w left and we can solve w.

w = 285 / 15 = 19

Now, we can solve for s using equation 2.

20s + 19 = 99

20s = 99-19 = 80

Hence,

s = 80/20 = 4

7 0
3 years ago
Need to find A, B, and C!
gtnhenbr [62]

Answer:

Mean: 4.44 add up every number and divide it by how many there is.

Median: 3 put from least to greatest and count till the middle.

Mode: 3 because it appears the most

7 0
3 years ago
Read 2 more answers
2. A supermarket display consists of boxes of cereal. The bottom row has 23 boxes. Each row has three fewer boxes than the row b
svetlana [45]
Y=23-(3)x should be the formula
7 0
3 years ago
Rewrite exponential expressions
Dahasolnce [82]

Answer:

A = 48

Step-by-step explanation:

In this equation, we can factor out the expression (\frac{1}{7} )^x. If we do so, the expression becomes:

(\frac{1}{7})^x((\frac{1}{7})^{-2} - 1)

We can simplify to get:

(\frac{1}{7} )^x(49 - 1)

and get:

48*(\frac{1}{7})^x

Therefore, A = 48

8 0
2 years ago
I need to know how to solve this
ahrayia [7]
Answer:

To find angle y you subtract the two angles form 180 degrees because it is a straight line. Then you subtract angle y and 72 from 180 because a triangle adds up to 180 degrees and you get angle x.

Hope this helps, ask if you have any more questions!
8 0
2 years ago
Other questions:
  • Hot dogs come in packages of 10 and hot dog buns come in packages of 8 . What is the least amount of product that you need to Bu
    14·2 answers
  • Table and graph for y=40x
    8·1 answer
  • Find the selling price of each item original plate price of gold fish at $7.65 discount 10%
    6·1 answer
  • The formula for the volume of a right circular cylinder is
    8·1 answer
  • You have $200 in savings account. Each week for 8 weeks, you take out $18 for spending money. How much money is in your account
    9·1 answer
  • The perimeter of a square is directly proportional to the length of one of its sides. The perimeter is 28 when the length of a s
    6·1 answer
  • Find the slope of each graph. Express the answer in simplest form.help ​
    11·2 answers
  • Don't know this please help
    8·1 answer
  • I need help please i give brainliest again please
    9·1 answer
  • PLEASE ANSWER<br>250 stamps if 84% of the stamps are foreign, how many other stamps did he collect
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!