Write an equation that represents the line.
Use exact numbers.

Answer:

5.0645km

Step-by-step explanation:

For the first part of the journey where Vail skied 2 km north, 2 km west

displacement = √2² + (-2)²

displacement = √4+4

displacement = √8

displacement = 2√2 km

d1 = 2√2 km

For the second part of the journey where he skeid 1 km north, and 2 km west. How far was she from her starting point?

displacement = √1² + (-2)²

displacement = √1+4

displacement = √5

d2 = √5 km

Total displacement = d1 + d2

Total displacement = 2√2 + √5

Total displacement = 2(1.4142) + 2.2361

Total displacement = 2.8284+ 2.2361

Total displacement = 5.0645km

Hence she was 5.0645km from her starting point

Answer:

Infenitely many solutions

Answer:

60

Step-by-step explanation:

Multiply length times width times height

Answer:

C or 104

Step-by-step explanation:

I assume this is surface area, and I don't know what kinda sadist person would make everyone learn in "Total Area," but it is what it is.

So, to find total area, we need to literally multiply every different number with the other.

(You should not do it the way I did, as I did it in the easiest and simpliest way to understand possible.)

Actually, you get the length, width, and height of a figure and do what is below pretty much.

You multiply the length by the width, the length by the height, and the width by the height (doesn't have to be in this order, this is just to make it easy to remember which ones you did.)

We multiply the

5 * 6

5 * 2

and then the

6 * 2

This accounts for every possible case, as multiplying 2 * 5 gives the same thing as the second expression anyways.

So we then solve these three expressions.

5 * 6 = 30

5 * 2 = 10

and then the

6 * 2 = 12

And we add them to get

30 + 10 + 12

= 52.

Then we multiply by 2, because there are two cases of each face of the shape.

You need to remember that there is 3 other faces on the shape you are looking at, it's just that the shape/figure is facing you in a way that you can't see them.

After multiplying by 2, we get

52 * 2

= 104, which is C.

TAKE A SCREENSHOT NOT A PICTURE AS WE DON'T NEED TO SEE SOME 420P MONITOR FROM 1987 THAT SHOWS EVERY PIXEL PLEASE AND THANK YOU :D

Answer:

-7

Step-by-step explanation:

-12 +5

Since the signs are different

Take the larger number and subtract the smaller number

12-5 =7

Take the sign of the larger

-7

Answer:

-7 is the answer

[tex]( - 12) + (5) \\ = 7[/tex]

Answer:

8

Step-by-step explanation:

Make a ratio

2:9 = 11

In total there will be 11 cups of solution.

2:9 = 11

?:36 = ?

Divide

36 / 9 = 4

Now that you have found the scale factor, multiply

2 × 4 = 8

So, you will need 8 cups of shampoo concentrate.

Answer:

An isometry preserves all the following except orientation .

Answer:

You will need to order 3.75 cubic yards of topsoil.

Step-by-step explanation:

Since you want to put a 3 inch thick layer of topsoil for a new 15 ft by 26 ft garden, and the dirt store sells by the cubic yards, to determine how many cubic yards will you need to order given that the store only sells in increments of 1/4 cubic yards, the following calculation should be performed:

3 inches = 0.25 feet

15 x 26 = 390 x 0.25 = 97.5

1 cubic yard = 27 cubic feet

97.5 cubic feet = 3.61 cubic yards

3.75 = 1/4 x 15

Therefore, you will need to order 3.75 cubic yards of topsoil.

Answer:

see image

Step-by-step explanation:

put a point on .5 on the x axis and a point on -3 on the y axis draw a line through them and shade the space under the line

Answer:

Functions can be symmetrical about the y-axis, which means that if we reflect their graph about the y-axis we will get the same graph. ... These are two types of symmetry we call even and odd functions.

Step-by-step explanation:

hhhahahshhehrhhehrhrhrhrh

Answer:

5/13

five blue marbles, but one blue removed  thus 5/13

Step-by-step explanation:

Answer:

C 5/13

Step-by-step explanation:

Answer:

X < -9

Step-by-step explanation:

5a +18 < -27

5a < -27 -18

5a < - 45

5a/5 < - 45/5

a < - 9

Answred by Gauthmath

Answer: -9

Step-by-step explanation:

5a+18 < -27

5a< -27-18

5a<-45

a< -45/5

a< -9

Answer:

Step-by-step explanation:

-8z⁻² = -8/z²

Answer: 380.1

Step-by-step explanation:

The area of a circle is pi*r^2. So 11 times 11 is 121. Then multiply by pi. When multiplies by pi you get 380.132711084. rounded to the nearest tenth is 380.1.

Answer: SA = 368

Step-by-step explanation:

Answer:

The surface area of the figure is 368[tex]in^{2}[/tex]

Step-by-step explanation:

To find the surface area of a rectangular prism you must know the formula.

A=2(wl+hl+hw)

Hope this helps!

Answer:

133

Step-by-step explanation:

Given that :

Degree of confidence, α = 0.90 ; The Zcritical vlaue at α = 90% is 1.645

The margin of error, MOE = ±2

Standard deviation, s = 14

Using the relation :

n = (Zcritical * standard deviation) / MOE

n = ((1.645 * 14) / 2)²

n = (23.03 /2)²

n = 11.515²

n = 132.595

n = 133 samples

Answer:

irrational

Step-by-step explanation:

Answer:

yes please, ask the question

does it give the answer choice or is it a blank space?

The equation your teacher has given you is an identity. We can prove this by transforming one side into the other. I'll transform the right hand side (RHS) into the left hand side (LHS).

This means I'll keep the LHS the same for each line. I'll only change the RHS. The goal is to get the same thing on both sides (I could go the other way around but I find this pathway is easier).

[tex]\tan^4(\theta)+\sec^2(\theta) = \sec^4(\theta)-\tan^2(\theta)\\\\\tan^4(\theta)+\sec^2(\theta) = \left(\sec^2(\theta)\right)^2-\tan^2(\theta)\\\\\tan^4(\theta)+\sec^2(\theta) = \left(\tan^2(\theta)+1\right)^2-\tan^2(\theta) \ \text{ ... see note 1}\\\\\tan^4(\theta)+\sec^2(\theta) = \tan^4(\theta)+2\tan^2(\theta)+1-\tan^2(\theta)\\\\[/tex]

[tex]\tan^4(\theta)+\sec^2(\theta) = \tan^4(\theta)+\tan^2(\theta)+1\\\\\tan^4(\theta)+\sec^2(\theta) = \tan^4(\theta)+\sec^2(\theta)-1+1 \ \text{ ... see note 2}\\\\\tan^4(\theta)+\sec^2(\theta) = \tan^4(\theta)+\sec^2(\theta) \ \ \Large \checkmark\\\\[/tex]

So because we've arrived at the same thing on both sides, the original equation is an identity. It always true no matter what theta value you plug in, as long as theta is in the domain. So something like theta = pi/2 won't work because tan(pi/2) = undefined and sec(pi/2) = undefined. It's based on how cos(pi/2) = 0 and this value is in the denominator. Dividing by zero is undefined.

Consequently, this means all solutions to cos(theta) = 0 will be excluded from the domain. Everything else works.

Answer:

63,70

Step-by-step explanation:

7 x 8 = 56

7 x 11 = 77

multiples of 7 and 9, 7 x 10

63 and 70

7×9 = 63

7×10 = 70

Answered by Gauthmath must click thanks and mark brainliest

Answer:

32 ounces

Step-by-step explanation:

Answers:

[tex]a = 18\sqrt{2}[/tex]

[tex]b = 18[/tex]

==============================================================

Explanation:

For any 45-45-90 triangle, the two legs are the same length. We consider triangles like this to be isosceles. So we have b = 18 as the vertical leg because the horizontal leg is also 18 units long.

The hypotenuse of these types of triangles is always [tex]\sqrt{2}[/tex] times longer compared to the leg length. So the hypotenuse is [tex]a = 18\sqrt{2}[/tex]

As an alternative, you can use the pythagorean theorem to find the hypotenuse.

Answer:

34

Step-by-step explanation:

x² = 30² + 16²

(pythagoras theorem)

x = Square root 30² + 16²

x = 34

You want to pull out the square roots of each term since they are both perfect squares.

Factor using the difference of squares formula: a2-b2=(a+b)(a-b)

This formula allows the middle term to cancel out.

=x2 - 49

=(x + 7)(x - 7)

ANSWER: (x + 7)(x - 7)

Hope this helps! :)

Step-by-step explanation:

the number in which 4 has the highest value is

6748.9251

Answer:

6834.2590

Step-by-step explanation:

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

Answer:

Their speeds are;

5.83 mph and 17.49 mph

Step-by-step explanation:

We are told that they leave the park the same time.

Let the speed one car traveled be v

Since the other car is 3 times faster, then it means that, it's speed is 3v.

Now, after 6 hours they travel 140 miles.

We know that;

Speed = distance/time.

Thus;

(v + 3v) = 140/6

4v = 140/6

v = 140/24

v = 5.83 mph

Thus, second car's speed = 3v = 3 × 5.83 = 17.49 mph

Answer:

36

Step-by-step explanation:

Let a² = x

a²-12a+36=0

or, (a-6)²=0

or, a-6=0

or, a = 6

Now a² = x, so x = 6² = 36

Answer:

1)9-7+x

2+x

2)8-2x+5x

8+3x

3)-x+3x-9

2x-9

4)4x-4x-6

-6

you have to group the like terms

I hope this helps and sorry if they are wrong