The heights of the mountains in a mountain range are less than 20,000 feet. Write an inequality to represent the heights of the mountains, h, in this mountain range.

Given:

The pair of points.

5. P(1, 1), Q(–1, –1)

6. [tex]E\left(\dfrac{1}{2},4\dfrac{1}{4}\right), F\left(5,-\dfrac{1}{2}\right)[/tex]

To find:

The distance between the pair of points.

Solution:

Distance formula:

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

5.

The distance between the pair of points P(1, 1) and Q(–1, –1) is:

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

[tex]PQ=\sqrt{(-2)^2+(-2)^2}[/tex]

[tex]PQ=\sqrt{4+4}[/tex]

[tex]PQ=\sqrt{8}[/tex]

[tex]PQ=2\sqrt{2}[/tex]

Therefore, the distance between P and Q is [tex]2\sqrt{2}[/tex].

6.

The distance between the pair of point [tex]E\left(\dfrac{1}{2},4\dfrac{1}{4}\right), F\left(5,-\dfrac{1}{2}\right)[/tex] is:

[tex]EF=\sqrt{\left(5-\dfrac{1}{2}\right)^2+\left(-\dfrac{1}{2}-4\dfrac{1}{4}\right)^2}[/tex]

[tex]EF=\sqrt{\left(\dfrac{10-1}{2}\right)^2+\left(-\dfrac{1}{2}-\dfrac{17}{4}\right)^2}[/tex]

[tex]EF=\sqrt{\left(\dfrac{9}{2}\right)^2+\left(\dfrac{-2-17}{4}\right)^2}[/tex]

[tex]EF=\sqrt{\dfrac{81}{4}+\left(\dfrac{-19}{4}\right)^2}[/tex]

On further simplification, we get

[tex]EF=\sqrt{\dfrac{81}{4}+\dfrac{361}{16}}[/tex]

[tex]EF=\sqrt{\dfrac{324+361}{16}}[/tex]

[tex]EF=\sqrt{\dfrac{685}{16}}[/tex]

[tex]EF=\sqrt{42.8125 }[/tex]

[tex]EF\approx 6.5[/tex]

Therefore, the distance between E and F is 6.5 units.

Answer:

376-182=194

so 194 us the 1st

182 is the 2nd

Answer:

-43 <-35

Step-by-step explanation:

hope it helps.................

Answer:

definitions

Step-by-step explanation:

central angle

interior angle

diameter

chord

tangent

arc

Answer:

yeah i think so

Step-by-step explanation:

Answer:

it is correct jbhsjsshsusuwwy

Answer:

59 degrees

Step-by-step explanation:

There are 360 degrees in a circle. Each arc with a known measure adds up to 242 degrees. To find the measure of the third remaining arc DC, we have to subtract 242 from 360, which leaves us with 118 degrees. The inscribed angle theorem states that the measure of an inscribed angle is half the measure of its intercepted arc. This means we have to divide 118 by 2 to find the value of DC's associated inscribed angle. This leaves us with 59 degrees.

Answer:

[tex]\huge\boxed{\sf L = 3\sqrt{10} }[/tex]

Step-by-step explanation:

Area of a square tile = 90 square inches

Let the side length of tile be "L"

Condition:

Area = 90

L * L = 90

L² = 90

Taking sqrt on both sides

L = √90

L = 3√10

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

Answer:

31.25%

Step-by-step explanation:

Man its the search engine

Great brushwork btw

Answer:

3y2+5y-7+2y3-8y2+10

3y2-8y2+5y-7+10

-5y2+5y+17

Answer: A

Step-by-step explanation:

The total minus the cost of the eggs leaves you with just the total of the potatoes. Since we know that the total of the potatoes is the product of 5 bags, we can divide the total of the potatoes by 5 to find the cost of each bag of potatoes.

Answer:

I think its D

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Hello There!

So the sum of the cakes (y) and cookies (x) is 64

so x + y = 64

It says that the amount of cookies he sold was 4 less then 3 times the number of cakes he sold

x = cookies

y = cakes

he sold 3 times the amount of cakes (y) - 4

so x=3y-4

So we can conclude that the answer would be D

~TheMathWiz

Answer:

what did you tried last time

Step-by-step explanation:

3).20⁰

4).60⁰

180-70+70_180-140__20

Answer: slope -1; y-intercept is 13, (0,13)

Step-by-step explanation:

We rewrite the function as y = -x + 13

y = mx + b; m is the slope, b is the intercept, by comparison, we found that the slope is -1, and the y-intercept is 13.

Answer:

3. y=2x + 4

Step-by-step explanation:

We know that b is 4 because of the point (0,4)

Now count the slope by using rise over run

We go up 2 and over 1 so the slope is 2

Answer:

BOOST!!!!!!!

Step-by-step explanation:

EVERYBODY REPORT HIM

Answer:

I cant find him. how do I look him up

Answer:

x = amount of real fruit juice used to make Drink A

y = amount of real fruit juice used to make Drink B

Step-by-step explanation:

Let

x = amount of real fruit juice used to make Drink A

y = amount of real fruit juice used to make Drink B

1. The company used 100.5 liters of real fruit juice, then

2. Drink A:

x = amount of real fruit juice used

percentage of real fruit juice

Then

5x = amount of drink A produced

Drink B:

y = amount of real fruit juice used

percentage of real fruit juice

Then

amount of drink B produced

The company makes 30 more liters of Drink A than liters of Drink B, so

The system of two equations is

Answer:

x=51

Step-by-step explanation:

m || n

(3x-40)=(2x+11) by alternate interior angles theorem

3x-2x=40+11

x=51

Answer:

5x - 9 = 2x + 23

Step-by-step explanation:

x = a number

5 times x = 5x

decreased by 9 = - 9

=

2 times x = 2x

increased by 23 = + 23

Answer:

Step-by-step explanation:

The answer is B. 5x – 9 = 2x + 23. i just took the test.

Answer:

77%

Step-by-step explanation:

Step-by-step explanation:

[tex]6p \geqslant - 42 \\ p \geqslant - 7[/tex]

Answer:

5

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

With a 1:5 ratio of flour to pancakes, 5 would be the correct answer

Answer: Independent variable = c

Dependent variable = v

Step-by-step explanation:

Given variables:

c = the number of Nora's coworkers who attend the picnic

v = the number of veggie burgers

Here the number of burgers required is dependent on the number of Nora's coworkers who attend the picnic.

Therfeore, Independent variable = c

Dependent variable = v