Find an expression, in it's simplest form, for the perimeter of this hexagon.​

Answer:  -25 - 13

This simplifies to -38

So the worker's final position is 38 feet below the ground.

A diagram is shown below.

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Explanation:

Draw a vertical number line. Plot 0 on it to indicate the ground level, or surface level. Then plot -25 on it, which is below 0. This is 25 feet below the ground.

To move 13 further feet downward, we will subtract 13 from -25. Subtracting a positive means we move downward.

For example, start at the 30th of a building. This is marked as +30 or just 30 on the vertical number line. Subtract off 13 to go down 13 floors and we have 30-13 = 17. So after going down 13 floors, we're at the 17th floor now.

Going back to the problem at hand, we start at -25 and subtract off 13 to get the final answer -25 - 13

The answer is not -25 - -13 and it is not -25 - (-13). This is because the two negatives cancel to be a positive. So -25 - (-13) becomes -25+13. Here we're starting at -25 but then going up 13 feet. Instead we want to go down 13 feet.

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After we determine the expression is -25 - 13 we will effectively add the positive versions of those numbers like so

25+13 = 38

But the final answer is negative because we're starting underground and moving further underground.

We can write it like this

-25 - 13 = -(25+13) = -(38) = -38

Therefore, if the worker starts off 25 feet underground, and moves 13 feet downward, then the worker ends up 38 feet underground. Again, use the vertical number line to help see this.

Check out the diagram below.

so do all the question like this types

thankyou for your question

Answer: 16%

Step-by-step explanation:

Grams of fiber recommended by doctor = 25 grams

Grams of fiber had for breakfast = 4

Percentage of gram ate = Grams had for breakfast / Grams recommended by doctor × 100

= 4/25 × 100

= 4 × 4

= 16%

Answer: 16%

Step-by-step explanation:

Answer:

If i'm doing this correctly it is 6?

Step-by-step explanation:

Answer:

x= -4

Step-by-step explanation:

8x - 5 = -37

   + 5     +5  add five to both sides of the equation so you can isolate the x

8x = -32

/8        /8 then divide 8 by both sides of the equation

x = -4

and then you get ur answer

Hope this helps :)

Answer:

-7 and -5

Step-by-step explanation:

It is where the parabola intercepts the x axis which is -7 and -5

Answer: Lower-right corner  [tex]3^7 \times \frac{1}{3^4}[/tex]

Explanation:

We use the rule that

[tex]a^{-b} = \frac{1}{a^b}[/tex]

The negative exponent tells us to apply the reciprocal if we want the exponent to be positive.

In this case, a = 3 and b = 4

So,

[tex]a^{-b} = \frac{1}{a^b}\\\\3^{-4} = \frac{1}{3^4}[/tex]

which is why overall,

[tex]3^7\times 3^{-4} = 3^7 \times \frac{1}{3^4}[/tex]

Answer:y = 2x + 14

Step-by-step explanation:

First, you have to find the slope by using

In other words,

The slope is 2.

Then you plug the rest into point-slope form (you can use either of the points, I used the first one)

Remember that m is the slope.

Distribute the slope to the par

Step-by-step explanation: first you do this then that then this then that then this

Answer:

Step-by-step explanation:

X=-6

Step-by-step explanation:

x= -6

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

Answer:

87.92

Step-by-step explanation:

(2)(3.14)=6.28

(6.28)(14)=87.92

2(pi)(r)

Answer:

1.5 hours = 1 hour 30 mins

Step-by-step explanation:

3/4 = 0.75

0.75 x 2 = 1.5

Answer:

answer is c

Step-by-step explanation:

Answer:

the answer is 0

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

-3x + 2y

-3(2) + 2(3) ## Substitution

-6 + 6 ## Distributive

0 ## Addition

Answer:

everytime the x goes up by 3, the y goes down by 3

Step-by-step explanation:

Answer:

third one

Step-by-step explanation:

Answer: it would be the third option, (2/5)^4

Step-by-step explanation:

sure thing! so, when all of those fractions in parenthesis, it means they are all going to be multiplied. and, this gets easy! that third option means that all of them are getting multiplied 4 times, which is exactly what the original problem means. hope this helps!

Answer:

The Dairy Farm is better deal.

Step-by-step explanation:

Given that:

Per gallon charges of the Spotted Cow = $2.80

Delivery fee = $2

Let,

x be the gallons of milk.

S(x) = 2.80x + 2

Putting x = 20

S(20) = 2.80(20) + 2 = 56 + 2

S(20) = $58

Per gallon charges of the Dairy Farms = $2.10

Delivery fee = $10

D(x) = 2.10x + 10

Putting x = 20

D(20) = 2.10(20) + 10 = 42 + 10

D(20) = $52

Hence,

The Dairy Farm is better deal.

Answer:

D. 14.99d

Step-by-step explanation:

d represents the number of DVD's she purchased, and 14.99 was the cost for each DVD. Answer D is multiplying the variable d and the coefficient 14.99. When multiplying variables, there is no need to place a multiplication sign.

Answer:

C. 14.99 divided by d

Step-by-step explanation:

the answer is c because you don't know how many DVDs he bought so by dividing the answer you can then know the price of each DVD they bought.

Answer:

d) m<J = 115, m<K = 130, m<M = 50, m<N = 65

Step-by-step explanation:

The sum of interior angles in this rectangle is equal to 360

if we add all the given angles 7x + 10 = 360 subtract 10 from both sides

7x = 350 divide both sides by 7

x = 50 to find the measure of each angle replace x with 50

Answer:

[tex]\frac{1-\tan x }{1+\cot x}[/tex]

Step-by-step explanation:

Let [tex]\frac{\sin 2x+\cos 2x-1}{\sin 2x+\cos 2x + 1}[/tex], we proceed to prove the given identity by trigonometric and algebraic means:

1) [tex]\frac{\sin 2x+\cos 2x-1}{\sin 2x+\cos 2x + 1}[/tex] Given

2) [tex]\frac{2\cdot \sin x \cdot \cos x +\cos ^{2}x - \sin^{2}x-1}{2\cdot \sin x \cdot \cos x +\cos ^{2}x - \sin^{2}x+1}[/tex] [tex]\sin 2x = 2\cdot \sin x \cdot \cos x[/tex]/[tex]\cos 2x = \cos^{2}x - \sin^{2}x[/tex]

3) [tex]\frac{2\cdot \sin x \cdot \cos x -\sin^{2}x-(1-\cos^{2}x)}{2\cdot \sin x\cdot \cos x +\cos^{2}x+(1-\sin^{2}x)}[/tex] Commutative, associative and distributive properties/[tex]-a = (-1)\cdot a[/tex]

4) [tex]\frac{2\cdot \sin x \cdot \cos x -2\cdot \sin^{2}x}{2\cdot \sin x \cdot \cos x +2\cdot \cos^{2}x}[/tex] [tex]\sin^{2}x + \cos^{2}x = 1[/tex]

5) [tex]\frac{(2\cdot \sin x)\cdot (\cos x-\sin x)}{(2\cdot \cos x)\cdot (\sin x +\cos x)}[/tex] Distributive and associative properties.

6) [tex]\frac{\sin x\cdot (\cos x-\sin x)}{\cos x\cdot (\sin x +\cos x)}[/tex] Existence of multiplicative inverse/Commutative and modulative properties.

7) [tex]\frac{\frac{\cos x -\sin x}{\cos x} }{\frac{\sin x + \cos x}{\sin x} }[/tex] [tex]\frac{\frac{x}{y} }{\frac{w}{z} } = \frac{x\cdot z}{y\cdot w}[/tex]

8) [tex]\frac{\frac{\cos x}{\cos x}-\frac{\sin x}{\cos x} }{\frac{\sin x}{\sin x}+\frac{\cos x}{\sin x} }[/tex] [tex]\frac{x+y}{w} = \frac{x}{w} + \frac{y}{w}[/tex]

9) [tex]\frac{1-\tan x }{1+\cot x}[/tex] Existence of multiplicative inverse/[tex]\tan x = \frac{\sin x}{\cos x}[/tex]/[tex]\cot x = \frac{\cos x}{\sin x}[/tex]/Result

Answer:

1

Step-by-step explanation:

Answer:

x=1

Step-by-step explanation:

Answer:

3/5

Step-by-step explanation:

SOHCAHTOA

Cos- adjacent/hypotenuse

adjacent side: 3

hypotenuse: 5

adj/hyp: 3/5

Answer:

5 and 8

Step-by-step explanation:

quadratic formula.

-(b)+sqrt(b)^2-4(a)(c)

^ans

divide the whole thing by 2(a).

If the formula isn't clear, search quadratic formula up.

Answer:

22

Step-by-step explanation:

Since its a parallelogram, opposite sides are congruent. Therefore:

BC = AD

a - 1.5 = 20.5

  +1.5     +1.5

a = 22

Answer:

a=22

Step-by-step explanation:

a-1. 5 =20. 5 ( opposite side of parallelogram are equal )

or, a=20. 5+1. 5

or, a=22

you can do it from another side too.

2a-20. 8 = a + 1. 2 ( opposite side of parallelogram are equal )

or, 2a - a = 1. 2 + 20. 8

or, a = 22

Hope it will help you ☺✌

Answer:

40%

Step-by-step explanation:

Answer:

Your statement is true

Step-by-step explanation:

:|

happy belated birthday!

Answer:

x=9/5

Step-by-step explanation:

x-2=-1/5

x=9/5

1 dozen = 12 so 15/12 is 1.25

which means 1 fruit tart is $1.25

Answer:

60? I'm really not sure mate, i'm really sorry if it's wrong.

Step-by-step explanation:

Answer:

8y + 16

Step-by-step explanation:

Put the like variables together