Cory makes a map of his favorite park, using a coordinate system with units of yards. The old oak tree is at position (3, 7) and the granite boulder is at position (-2, 6). How far apart are the old oak tree and the granite boulder? Round to the nearest tenth if necessary

Answers

Answer 1

Answer: 5.09 units

Step-by-step explanation:

Given

Coordinates of Old oak tree are (3,7)

Coordinates of granite boulder are (-2,6)

Distance between them is given by distance formula i.e.

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Distance between them is

[tex]\Rightarrow d=\sqrt{(-2-3)^2+(6-7)^2}\\\Rightarrow d=\sqrt{(-5)^2+(-1)^2}\\\Rightarrow d=\sqrt{25+1}=\sqrt{26}\approx 5.09\ \text{units}[/tex]


Related Questions

A company makes 150 bags.
43 of the bags have buttons but no zips.
38 of the bags have zips but no buttons.
34 of the bags have neither zips nor buttons.
A bag is selected at random.
What is the probability that the bag has buttons?

Answers

35% chance because the company made 150 bags

Which expression is equivalent to -2(9y-3)
a) -18y + 6 c) -18y -3
b) -18y - 6 d) 18y + 6​

Answers

Answer:

a. -18y+6

Step-by-step explanation:

i hope this helps :)

The answer is A, -18y+6

Write the equation of a line
containing the point (2, 5) and a
slope of 3 in Point-Slope Form.

Answers

Answer:

y=3(2)+5

Step-by-step explanation:

Formula: y = mx + b

m is your slope

x is your x

b is your y added onto

PLEASE HELP!!!!! Which graph represents the solution to this set of inequalities?
TYSM! :)
(A,B,C,or D??)

Answers

Answer:

a is the answer

Step-by-step explanation:

.......................

two horses are filling a pool

Answers

Answer:

What is the actual question?

Step-by-step explanation:

What’s the additive inverse of -7x + 3 ?? ! please help it’s due at 11:59 and I have waaay more !

Answers

Answer:

7x-3

Step-by-step explanation:

The additive inverse is when you add the number with the inverse to get 0.

Last month, Margo bought a tree that grows 2.5 \text{ cm}2.5 cm2, point, 5, start text, space, c, m, end text each day. It was 5 \text{ cm}5 cm5, start text, space, c, m, end text tall when she bought it and now it is 65 \text{ cm}65 cm65, start text, space, c, m, end text tall.

Answers

Answer:

equastion: 5+2.5d=65

days: 24

Step-by-step explanation:

got it right on khan, sorry if late

HELP YALL I DIDNT STUDY

Answers

I believe the answer is
C

Ann had $120 to spend on books. After buying 10 books she had $8.30 left. If each book costs the same, let b be the cost of each book Write an algebraic equation that represents the situation:

Answers

Answer:

11.17

120-8.30 an then ÷10

Answer:

120 - (10b) = $8.30

Step-by-step explanation:

Our buyer client Heather just signed a purchase agreement for a $520,000 home. The LTVR is 60%. How much is Heather putting down on the purchase?

Answers

312,000$.

I just found 60 percent of 520,000 so I hope that’s what you wanted, and I am truly sorry if it isn’t.

which number line represents the solution to the inequality (will make brainliest) pls help

Answers

Answer:

C

Step-by-step explanation:

because the solution dors not include -3 but everything less than.

Can you help solve for x in these three problems?

Answers

Answer:

19) 4   21) 8   23) 6.31

Step-by-step explanation:

23) -1 +14x + 12x +17 = 180

26x+16=180

26x=164

x= about 6.31

If a watch costs $40 and you must pay 6.5 % sales tax, how much will you pay in TAX?

Answers

Answer: 2.6

Step-by-step explanation:

Put these numbers in order from least to greatest: -4 2/5 -4.5 -5.1 -4.45 -5 -

Answers

Answer:

-5.1, -5, -4.5, -4.45,-4 2/5

Answer:

-5.1, -5, -4.5,-4.45,-4 2/5,

Step-by-step explanation:

Lets put all the number in decimal form from least to greatest.

-4 2/5= -4.4

Remember the lower the negative integer is, the higher it is on the number line.

-5.1, -5, -4.5, -4.45, -4 2/5,

GEOMETRY! I will give brainliest

Answers

Answer:

538.8 (4th option)

Step-by-step explanation:

Area of Circle= 3.14(pi) x r^2

Area=615.44

Sector Area = 315/360 x 615.44 = 538

very urgent can someone please solve thank you ​

Answers

Answer:

RP= 15.3 km (3 s.f.)

Step-by-step explanation:

Please see the attached pictures for the full solution.

Evaluate the expression x + 9 when
x = 10

Answers

Answer:

19

Explanation:

Plug in x for x + 9. Once you do that, you’ll be able to get the answer.

y=x^{2}+2x-1
find the following
AOS, Vetex,Roots,Domain,Range, postive/negative, y-intercept

Answers

Answer:

Step-by-step explanation:

Find sale price of a $4200 television with a 35% markdown (show work)

Answers

Answer:

2730$

4200×35/100

=4200×0.35

=1470$

1470$ is reduced so

4200$-1470$

=2730$

-4(-4+x)>56 please help:)

Answers

Answer:

x < -10

Step-by-step explanation:

i hope this helps :)

16-4x



Answer to the question ;

WILL GIVE BRAINLIEST

Answers

Answer:

V=πr²h

V=(3.14)(15cm)²(325cm)

V=229,613 cm³

Answer:

d

Step-by-step explanation:

trust me i used online calculator and got that exact answer

pls make me brainliest :)

heat can be produced by - two things​

Answers

Burning and rubbing

On a particular flight, the airline's income was $95,280 for a jumbo jet carrying 290 passengers. If a first-class ticket costs $680 and a coach ticket costs $288, how many of each ticket were sold for the flight?

Answers

Answer:

30 first-class tickets were sold and 260 coach tickets were sold.

Step-by-step explanation:

Let a first-class ticket be represented by f and let a coach ticket be represented by c.

On a particular flight, a jumbo jet was carrying 290 passengers. So, the sum of the first-class tickets and coach tickets must sum to 290:

[tex]f+c=290[/tex]

The total income was $95,280. Therefore:

[tex]680f+288c=95280[/tex]

We can now solve the system of equations. First, we can simplify the second equation by dividing everything by 8:

[tex]85f+36c=11910[/tex]

From the first equation, we can subtract f from both sides:

[tex]c=290-f[/tex]

Substitute:

[tex]85f+36(290-f)=11910[/tex]

Distribute:

[tex]85f+10440-36f=11910[/tex]

Simplify:

[tex]49f=1470[/tex]

So:

[tex]f=30[/tex]

From the previous equation:

[tex]c=290-f[/tex]

Substitute:

[tex]c=290-30=260[/tex]

30 first-class tickets were sold and 260 coach tickets were sold.

Determine the value of x that would make quadrilateral LMNO a parallelogram.
3
9
11
18​

Answers

Answer:
x=9
Step-by-step explanation:
Diagonals of a parallelogram bisect each other. For quadrilateral LMNO to be a parallelogram, LP must equal PN, and OP must equal PM.
Set OP equal to PM and solve for x.
PM=OP
3x-9=18
Add 9 to both sides.
3x=27
Divide both sides by 3.
x=9

Answer:

9

Step-by-step explanation:

Solve for r 4/r 5/7

Answers

28/5 as a fraction and 5.6 as a decimal

can someone help me plss

Answers

Answer:

the third is correct

Step-by-step explanation:

−5(x+4)
Expand and Simplify the Expression

Answers

Answer: Simplify:-5x-20

Step-by-step explanation:

Solution: -5x-20

Square the binomial below:
(x– 4)

Answers

Answer:

x^2-8x+16

Step-by-step explanation:

(x-4)^2

x^2-4x-4x+16

x^2-8x+16

What is the measure of the missing angle?

Answers

Answer:

28 degrees

Step-by-step explanation:

85 + 67 = 152

180 - 152 = 28

Answer:

X = 28

Step-by-step explanation:

85

+67

=152

180

-152

=28

HELPP MEE PLEASEEEE!!!

Answers

Answer:

1) 2

2) -2

3) -8

4) -2

Hope this helps!

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