A golf course designer is creating a scale drawing of a new course on a coordinate grid and using vectors to describe the displacement from the starting point to the hole. For the first hole, the ball starts at the point (–15, –12). The first hole is at the point (–25, 6). The scale of the model is 1 unit = 20 yards. Which vector can be used to determine how far the first hole is from the starting point, and what is that length? Round the length to the nearest yard if necessary.
A. ⟨-10,18⟩; 412 yards
B. ⟨-10, 18⟩; 424 yards
C. ⟨-40, -6⟩; 809 yards
D. ⟨-40, -6⟩; 1,636 yards

Answer:

x=-2

Step-by-step explanation:

[tex]6=x-(-8)\\\\6=x+8\\\\6-8=x+8-8\\\\-2=x[/tex]

Answer:

- 2

Step-by-step explanation:

Step 1:

x - ( - 8) = 6

Step 2:

x + 8 = 6

Step 3:

x = 6 - 8

Answer:

x = - 2

Hope This Helps :)

The answer is False. Personal behavior is not the only factor that determines an individual’s illness or sickness. There are other factors which determine an individual’s sickness and dysfunction. There are reasons like obesity which leads to several diseases.

This is false because genetics and environmental factors may also come into play. So there are many factors to be considered if a person becomes ill.

Answer:

They are points on a graph. Just put the points on a graph. There's no math to it, really.

Step-by-step explanation:

F(2, -6)

F(x, -y)

and

G(8, -5)

G(x, -y)

8-5=3 : This means you add three each time

f(5)=8+3=1

f(6)=11+3=14

hope this helps :)

if not snap chat has a feature in the search bar and you can get answers by that

Answer:

702 can't be written as the product of 2 prime numbers because if you divide 702 by 2 then you get 351 and that is not a prime number. Therefore, 702 is a prime number.

The prime factorization of 703 is 19 × 37. Since it has a total of 2 prime factors, 703 is a composite number.

Answer:11 more hours

Step-by-step explanation:

Answer:

i am sorry i don't know but i will try to find the answers as soon as possible i am sorry

Answer:

Let 0.12 be x.

Here, x is recurring in two decimal places so we'll multiply it by 10-

Now, by subtracting them-

[tex] \\ \implies \sf \: 10x - x = 1.22 - 0.12 \\ \\ \\ \implies \sf \: 9x = 1.1 \\ [/tex]

Now, we'll divide both sides by 9 to get x as a fraction -

[tex] \\ \implies \sf \: x = \frac{1.1}{9} \\ \\ \\ \star \: \large{ \boxed{ \sf{x = \frac{11}{90} }}} \\ [/tex]

A straight line is 180 degrees:

25x + 8 + 9x + 2 = 180

Combine like terms:

34x + 10 = 180

Subtract 10 from both sides:

34x = 170

Divide both sides by 34:

X = 5

Now solve the smaller angle:

9x + 2 = 9(5) + 2 = 45 + 2 = 47

They angle with the y is a vertical angle to 47 so needs to also equal 47:

7y + 5 = 47

Subtract 5 from both sides:

7y = 42

Divide both sides by 7:

Y = 6

Answer: x = 5, y = 6

Answer:

may I have brainly??

Step-by-step explanation:

Length of the base edge (a) = 5 cm

Height of the pentagonal prism (h) = 10 cm

The Lateral Surface Area of the Pentagonal Prism.

Lateral Surface Area of a Pentagonal Prism = 5ah

Lateral Surface Area = 5 (5) (10)

Lateral Surface Area = 5 (50)

Lateral Surface Area = 250 sq.cm

250 sq.cm

Answer:

Step-by-step explanation:

-3x + 1 + 10x = x + 4

      -1                  -1

        7x  = x  + 3  

       -x          -x

        6x = 3

      ÷6      ÷6

         x = 1/2

Answer:

d

Step-by-step explanation:

If three distinct points lie in a plane, can also form a straight line. Therefore, option D is the correct answer.

Given that, if three distinct points lie in a plane, then the points can form a triangle.

We need to identify the counterexample for the conditional statement given.

A counterexample to a mathematical statement is an example that satisfies the statement's condition(s) but does not lead to the statement's conclusion. Identifying counterexamples is a way to show that a mathematical statement is false.

Now, if three distinct points lie in a plane, then the points always can not form a triangle.

If three distinct points lie in a plane, can also form a straight line.

Therefore, option D is the correct answer.

To learn more about the triangle visit:

https://brainly.com/question/2773823.

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Answer:

It is 4

Step-by-step explanation:

4

4 8

4 8 12

as you can tell 4 is your answer.

Answer:

$45

Step-by-step explanation:

I hope this helps!

An integer is a whole number that's not a fraction, thus a positive integer for 45, would be 45.

Natural numbers are: 1, 2, 3, ....

Integer numbers are: ...., -2, -1, 0, 1, 2, ... (so it includes positive and negative natural number, and 0 )

Rational numbers are numbers which can be written in the form of a/b where a and b are integers. Example: 1/2, 3.5 (which is writable as 7/5) etc.

Irrational numbers are those real numbers which are not rational numbers.

Know that all natural numbers are integers, all integers are rational numbers. That means, natural numbers are not irrational.

We have to write an integer for: a deposit of $45 *

A deposit is positive, therefore the integer will be positive.

An integer is a whole number that's not a fraction, thus a positive integer for 45, would be 45.

Learn more about numbers here;

https://brainly.com/question/3151755

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Answer:

-3,-6

Step-by-step explanation:

Answer:

Formula: n+6

In mathematics, a recursive definition is used to define the elements in a set in terms of other elements in the set. 

Answer:

it is B

Step-by-step explanation:

hope this helps you.

Answer:

591

Step-by-step explanation:

added the 2 in the equation and minused 2000 from that

Answer:

f ( x )  = [tex]x^{3}[/tex] −  2 [tex]x^{2}[/tex]  +  x  +  C

Answer:

[tex]t = \frac{4\pi {}^{2} l}{g} [/tex]

Step-by-step explanation:

[tex]l(4\pi ^{2} ) = gt \\ \frac{4\pi {}^{2} l}{g} = t \\ t = \frac{4\pi {}^{2} l}{g} [/tex]

Answer:

AB= 12

since M is in the middle

AM + MB = 12

or 7 + MB = 12

MB= 12-7=5

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

AM + MB = AB

So, AB - AM = MB

Substituting, 12 - 7 = 5

Answer:

9

Step-by-step explanation:

2(2z-4)=32

4z-4=32

4z=36

z=9

Answer:

S: (-2,7)

T: (-5,7)

U: (-1,8)