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
skelet666 [1.2K]
1 year ago
11

In the graph below, Point A represents Owen's house, Point B represents David's house and Point C represents the school. Who liv

es closer to the school, and by how many miles? You may type your steps in the lines below or submit a screenshot of you work. *You may use graph paper or enlarge this graph to draw your right triangle.

Mathematics
1 answer:
ycow [4]1 year ago
5 0

Answer:

• David

,

• 4 miles

Explanation:

In the graph:

The given locations are:

• Owen's House, A(11,3)

,

• David's House, B(15,13)

,

• School, C(3,18)

We determine both Owen's and David's distance from the school using the distance formula.

Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Owen's distance from school (AC)

\begin{gathered} AC=\sqrt[]{(3-11)^2+(18-3)^2} \\ =\sqrt[]{(-8)^2+(15)^2} \\ =\sqrt[]{64+225} \\ =\sqrt[]{289} \\ AC=17\text{ miles} \end{gathered}

David's distance from school (BC)

\begin{gathered} BC=\sqrt[]{(3-15)^2+(18-13)^2} \\ =\sqrt[]{(-12)^2+(5)^2} \\ =\sqrt[]{144+25} \\ =\sqrt[]{169} \\ BC=13\text{ miles} \end{gathered}

We see from the calculations that David lives closer to the school, and by 4 miles.

The graph below is attached for further understanding:

You might be interested in
Sadie is 3 years older than Kareem, and Kareem is twice as old as Nadra. The sum of their ages is 33.
Ne4ueva [31]

Answer:

The correct answer is:

In Step 1, the student should have used One-half x to represent Nadra’s age, and written the equation (x + 3) + x + one-half x = 33.

Step-by-step explanation:

Lets solve the problem step by step correctly

Let x be the age of Kareem

Let s be sadie's age

n be Nadra's age

According to "Sadie is 3 years older than Kareem"

s = x+3

And According to "Kareem is twice as old as Nadra"

x = 2n

n = x/2

Step 1: Writing the equation

s+x+n = 33\\x+3+x+\frac{x}{2} = 33

Step 2: Solving the equation:

2x+\frac{x}{2} = 33-3\\\frac{4x+x}{2} = 30\\\frac{5x}{2} = 30\\5x = 60\\x = 12

Step 3

Kareem's Age = 12

Sadie's Age = x+3 = 12+3 = 15

Nadra's Ade = 12/2 = 6

The student made the error in Step 1 where he wrote the equation.

Hence,

The correct answer is:

In Step 1, the student should have used One-half x to represent Nadra’s age, and written the equation (x + 3) + x + one-half x = 33.

5 0
3 years ago
Read 2 more answers
PLS HELP! (PRE-ALG) WILL GIVE BRAINLIEST. Thx sm
julsineya [31]

I believe the answer is -2, 7

5 0
2 years ago
Read 2 more answers
I really need this answered. I need to find the area ​
kipiarov [429]

Answer:

I think 5

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
I need to make sure the first one is correct and the second question i need help with
stiks02 [169]

Answer:

First one: 9 units

Second one:  |2.5|, |-3|, |3.3|, |-4|

Step-by-step explanation:

9 units not negative 9 since you are counting the distance, not to or from, and the second one is the absolute value with each one, to simplify:

|-3|=3

|2.5|=2.5

|-4|=4

|3.3|=3.3

so the answer to the second one is |2.5|, |-3|, |3.3|, |-4|

8 0
3 years ago
Read 2 more answers
What is -18+6+3r+13r=
kvasek [131]
If this is just an expression, then all you have to do is combine like terms, or groups of numbers and variables that have the same variable.

When simplified, you get the equation

-12+ 16r or 

-18+6+3r+13r=16r-12
7 0
3 years ago
Other questions:
  • What expression is reprented by the factorization below
    11·2 answers
  • Which best describes the resulting three-dimensional figure?
    8·2 answers
  • What is the greatest fraction
    5·2 answers
  • How many labeled points are between points B and U
    6·1 answer
  • Select the inequality that models the problem.
    5·2 answers
  • Jackie is analyzing a quadratic function f(x) and a linear function g(x). Will they intersect?
    11·2 answers
  • #2. Use substitution to solve the system of equations
    11·1 answer
  • Here at Karen University we offer the finest education! From language lessons, now repeat after me “I want to speak to the manag
    8·1 answer
  • The Roman numeral which represents the number in standard form for 3,089 is?
    8·1 answer
  • ∠10° is complementary to which of the following angles?
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!