a. About how far is it from Amarillo to Oklahoma City? Explain your reasoning. b. Driving at a constant speed of 70 miles per hour, will it be possible to make this trip in 3 hours? Explain how you know.​

Answer:

[tex]d = \sqrt{13}[/tex]

Step-by-step explanation:

Use the Distance Formula to help you determine the distance between the two following points:

-Distance Formula:

[tex]d = \sqrt{(x_{2} - x_{1})^2 + ( y_{2} - y_{1})^2}[/tex]

(where [tex](x_{1}, y_{1})[/tex] represents the first point and [tex](x_{2}, y_{2})[/tex] represents the second point)

-Apply the two following points onto that equation:

[tex]d = \sqrt{(7 - 5)^2 + (6 - 3)^2}[/tex]

[tex](x_{1}, y_{1}) = (5, 3)[/tex]

[tex](x_{2}, y_{2}) = (7, 6)[/tex]

-Solve the equation:

[tex]d = \sqrt{(7 - 5)^2 + (6 - 3)^2}[/tex]

[tex]d = \sqrt{2^2 + 3^2}[/tex]

[tex]d = \sqrt{4 + 9}[/tex]

[tex]d = \sqrt{13}[/tex]

So therefore, the distance is [tex]\sqrt{13}[/tex].

Answer:

Step-by-step explanation:

Answer:

The correct statement is (3).

Step-by-step explanation:

Jason's hourly pay rate as a camp counselor for the summer is:

J = $9 / hour.

The table representing Mia's pay as a lifeguard for the summer is as follows:

 Days             Hours worked             Amount paid

Tuesday                    6                            $52.50

Thursday                   8                            $70,00

Saturday                    5                            $43.75

Compute Mia's hourly rate for Tuesday: [tex]\frac{\$52.50}{6}=\$8.75[/tex]

Compute Mia's hourly rate for Thursday : [tex]\frac{\$70.00}{8}=\$8.75[/tex]

Compute Mia's hourly rate for Saturday: [tex]\frac{\$43.75}{5}=\$8.75[/tex]

Thus, Mia's hourly rate  as a lifeguard for the summer is,

M = $8.75 / hour

This implies that Jason's camp counselor job pays a higher hourly rate than Mia's lifeguard job.

Thus, the correct statement is (3).

Answer:

The answer is C because if u multiply 6 by 9 its 54 that's how much Jason gets for 6 hours while on the other hand Mia for six hours gets 52 dollars.  

Step-by-step explanation:

can u guys make this a brainlyest answer

Answer:

36 miles per gallon of gas

Step-by-step explanation:

Answer:

36 miles per gallon

Step-by-step explanation:

if she drove 216 miles and used 6 gallons of gas then you would divide 216/6=36. so the answer is 36 miles per gallon

Answer:

A- SAS

Step-by-step explanation:

The statements tell you the outer two lines are congruent and the top two angles as well, then through the properties of equality you know the inner line is congruent to itself. That means you have two sides and an included angle making it SAS.

Answer:

12, 15 would be the next two in that order

Answer:addition property of equality, combine like terms, distributive property and division property of equality.

Step-by-step explanation: I took the test

Answer:

yz= 100-30

yz= 70.

hope it helps.

Answer:

x=-1.68

Step-by-step explanation:

5x + 34 = 2(1 -7x)

5x+34=2-14x

5x+14x=2-34

19x=-32

x=1.68

Answer:

Measure the distance from one endpoint to the other.

Answer:

a line segment is a portion of a straight line which is directly connected to two given points. the given points has coordinate x and y

distance = √(x2-x1)²+(y2-y1)²

example : find distance between two points (2,6) and (3,4) ( find the length of a segment)

d = √(3-2)²+(4-6)

d=√1²+2²

d=√5

Answer:

[tex] y = \frac{ - 4}{5} x + 7[/tex]

Answer:

124, I think

Step-by-step explanation:

you set them equal to each other and solve for x, then substitute in for A. if this is wrong please let me know

xy = -2

(-3)(2/3) = -2

-2 = -2 TRUE

x + 3y = -1

-3 + 3(2/3) = -1

-3 + 2 = -1

-1 = -1 TRUE

x + z = 4

-3 + z = 4

z = 7 NEITHER

9y = -2x

9(2/3) = -2(-3)

6 = 6 TRUE

y/x = -2

(2/3)/(-3) = -2

-0.22... = -2 FALSE

-2/x / y = -1

-2/-3 / 2/3 = -1

2/3 / 2/3 = -1

1 = -1 FALSE

Best of Luck!

Answer:

A. xy = -2 - true

B. x + 3y = -1 - false doesn't equal -1 it equals -2

C. x + z = 4 - neither because z

D. 9y = -2x - false because it equals  -6

E. y/x = -2 - false because it equals -.2222222

F. -2/x / y = -1  - false it equals positive 1

Answer:

are or rectangle = l*b

252= (x+2) (2x+1)

252= 2x²+x+ 4x +2

2x²+5x -250=0

(x-10) (2x+25)=0

so x=10

using sum and product method

Step-by-step explanation:

x = # of days.

1.5x = 47.075

Divide both sides by 1.5

x = 31.38 days

Answer:

Step-by-step explanation:

(2n -3)(2n+1) = 4n^2 + 2n - 6n - 3 = 4n^2 - 4n -3

Answer: $732.25

Step-by-step explanation: I just took the quiz through K12 online school.

Answer: D.$732.25

Step-by-step explanation:

Patti's ending balance was $715.26

On 2/5 (February 5) she did a withdrawal (-) of $140.00

On 2/7 she did a check (-) of $326.15 and a deposit (+) of $483.14

$715.26- $140.00- $326.15+ $483.14= $732.25

Answer:

[tex] {10}^{ - 14} [/tex]

Step-by-step explanation:

[tex] \huge\frac{ {10}^{ - 9} }{ {10}^{5} } \\ \\ \huge = {10}^{ - 9} \times {10}^{ - 5} \\ \\ \huge = {10}^{ - 9 + ( - 5)} \\ \\ \huge = {10}^{ - 9 - 5} \\ \\ \huge \orange {= {10}^{ - 14}} [/tex]

Answer: 28

Step-by-step explanation:

The discriminant in the quadratic equation which is

it is the part inside of the square root part

it is called the discriminant beause it tells you how many real or complex roots/solutions you will get

so b^2-4ac

convert to ax^2+bx+c=0 form

9x^2+2=10x

subtract 10x

9x^2-10x+2=0

ax^2+bx+c=0

a=9

b=-10

c=2

substitute

-10^2-4(9)(2)

100-36(2)

100-72

28

discriminant is 28

Let s be Jim's Sister's age now

s = 2x

Answer:

On the grid

Step-by-step explanation:

Go 226 spaces to the left of the x axis, when you get there go 216 up on the y axis

Answer:

Should be something along the lines of:

3,450 = 326x - 310

Step-by-step explanation:

First, let's start with the number of years. Assume the number of years is x. 3262 greenhouses amounts to about 326 greehouses/year. The other number was the existing greenhouses, but we want just how many greenhouses that were built, per the subtraction sign.

Hope this helps!! : )

Sorry if I am wrong, haven't done equations in a while.

Step-by-step explanation:

First she need to measure the complete wall distance and then divide it by 2

(I just tried the answer, Sorry if it is wrong)

We need not go so depth in this question and find it logically.

Answer:

The answer is

Step-by-step explanation:

The distance between two points can be found by using the formula

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

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(-1,-7) and (8,-9)

The distance between them is

[tex]d = \sqrt{( { - 1 - 8})^{2} + ({ - 7 + 9})^{2} } \\ = \sqrt{ ({ - 9})^{2} + {2}^{2} } \\ = \sqrt{81 + 4} [/tex]

We have the final answer as

[tex] \sqrt{85} \: \: \: units[/tex]

Hope this helps you

Answer:

y=80x + 100

Step-by-step explanation:

y - 660 = 80(X – 7)

y-660= 80 x - 560

y-660+660= 80 x - 560+660

y= 80x + 100

Answer:

Answer:

y=80x + 100

Step-by-step explanation:

y - 660 = 80(X – 7)

y-660= 80 x - 560

y-660+660= 80 x - 560+660

y= 80x + 100

Step-by-step explanation:

just read it g

Answer:

x = 2

Step-by-step explanation:

instructions above :)

Answer:

The expression is (x + 4) yards where x yards represent the initial amount of yards had by tre team

Step-by-step explanation:

In this question, we are told to write an expression which can be used to describe the total yard gained by the team.

Now, before we can write an expression showing the yard gained by the team, we need a variable that will represent the amount of yard they had initially.

Let us represent this by x yard.

By gaining 12 yards in the first play, total amount of yards now become x + 12 yards

Now in the second play, they lost 8 yards and this translates to (x + 12)-8 = (x + 4) yards

Answer:

[tex]-\frac{5}{6}[/tex]

Step-by-step explanation:

I hope this helps!

Answer:

[tex]\frac{-10}{12} ,\frac{-5}{6}[/tex]

Step-by-step explanation:

Start with:

[tex]\frac{-2}{3}[/tex] × [tex]\frac{5}{4}[/tex]

Multiply your numerators.

[tex](-2)(5)=-10[/tex]

Now, multiply your denominators.

[tex](3)(4)=12[/tex]

Let's transfer those numbers into a fraction.

[tex]\frac{-10}{12}[/tex]

You may need to simplify.

Divide by the greatest common factor. In this case, that would be [tex]2[/tex].

[tex]-10[/tex] ÷ [tex]2=-5[/tex]

[tex]12[/tex] ÷ [tex]2=6[/tex]

Put those numbers back into the fraction.

[tex]\frac{-5}{6}[/tex]