you are on a boat in the ocean at point A you locate a lighthouse at point D beyond the line of sight of the marker at point C you drive 0.2 miles west to point B and then 0.1 miles south to point C you drive 0.3 miles more to arrive at point E which ie due east of the lighthouse. what is the distance from point E to the lighthouse

Answer:

We know that,

[tex](a^{x}) ^{y} =a^{xy}[/tex]

[tex]a^{x} *a^{y} =a^{x+y}[/tex]

[tex]\frac{a^{x} }{a^{y} } =a^{x-y}[/tex]

Let's solve now.

1) [tex](3^{8})^{4} =3^{32}[/tex]

2)  [tex]7f^{3} * 9f^{9} =63f^{12}[/tex]

3) [tex]12^{4} *12^{10} =12^{14}[/tex]

4) [tex](6m^{5} )^{3} =6m^{15}[/tex]

5)  [tex]\frac{2^{5} }{2^{-3} } =2^{8}[/tex]

6)  [tex]\frac{42g^{7} }{7g^{2} } =6g^{5}[/tex]

7)  [tex]\frac{3^{9}*3^{6} }{3^{5} } =\frac{3^{15} }{3^{5} } =3^{10}[/tex]

8)  [tex]\frac{11^{6}*11^6 }{11^2*11^3} =\frac{11^{12}}{11^5} =11^7[/tex]

9) [tex]7^{-2} =\frac{1}{7^2} =\frac{1}{49}[/tex]

10) [tex]3^{-3} =\frac{1}{3^3} =\frac{1}{27}[/tex]

Hope this helps you.

Let me know if you have any other  questions :-)

Answer:

C) y = 3x + 2

Step-by-step explanation:

Given the slope of the line, m = 3, and the coordinates of the y-intercept, (0, 2).

We can substitute these values into the following slope-intercept form, y = mx + b, where:

m = slope

b = the y-coordinate of the y-intercept.

Therefore, the correct answer is option C, where it shows the equation of the line in slope-intercept form is: y = 3x + 2.

Answer:

54 degrees

Step-by-step explanation:

First, I need to find the value of t.

So, I create an equation. Angle BPK is a right angle, so I can just add the two inner angles and set it equal to 90.

(8t + 6) + (3t + 18) = 90

Now, just solve for t.

11t + 24 = 90

11t = 66

t = 6

Finally, substitute 6 in for t.

8(6) + 6

48 + 6

54

Answer:

Y = -X + 9

Step-by-step explanation:

yeah-ya....... right?

Answer:

ΔOGD≅ ΔPRC

Step-by-step explanation:

Answer:

7 T-Shirts

Step-by-step explanation:

Given:

100 Dollar

30 = sweater

42 = Jeans

4 each = t-shirts

Solution:

30+42 = 72

100-72 = 28

28/4=7

Therefore she can buy 7 T-Shirts.

Answer:

7 shirts

Step-by-step explanation:

100 (total) - 30 (sweater) - 42 (jeans) = 28 (for shirts)

28 (money) / 4 (shirt cost) = 7 (shirts)

Assuming no tax and stuff, Maria should be able to by 7 shirts on top of her other items.

Answer:

it will take 10 hours

Step-by-step explanation:

6+4=10

[tex]\\ \sf\longmapsto f(x)+-2^x[/tex]

Graph attached

How to find domain and range from co-ordinate pairs?

Now look at the graph

Here domain can be any real number .

[tex]\\ \sf\longmapsto D_f\in R[/tex]

And

Range starts from 0 and infinite in negative y direction.

[tex]\\ \sf\longmapsto R_f\in (\infty,0][/tex]

Step-by-step explanation:

the essential thing to remember here (and please, burn this into your brain for life) : the sum of all angles in a triangle is always (really always) 180 degrees.

therefore, in 12 and 13 we only need to add all 3 angles, and their sum must be 180.

from there we get really all 4 answers.

the next thing to consider is when a triangle had two equal angles, then it is an isoceles triangle (the 2 sides leading away from these 2 angles are equally long). that gives us the answers for 14 and 15.

12.

3x + 18 + 7x - 58 + 2x - 8 = 180

12x - 48 = 180

12x = 228

x = 19

angle A = 3x+18 = 3×19 + 18 = 57+18 = 75 degrees

angle B = 7x-58 = 7×19 - 58 = 133-58 = 75 degrees

angle C = 2x-8 = 2×19 - 8 = 38 - 8 = 30 degrees

13.

8x - 17 + 19x + 4 + 5x + 1 = 180

32x - 12 = 180

32x = 192

x = 6

angle Q = 8x-17 = 8×6 - 17 = 48-17 = 31 degrees

angle R = 19x+4 = 19×6 + 4 = 114+4 = 118 degrees

angle S = 5x+1 = 5×6 + 1 = 30+1 = 31 degrees

14.

KL = 9x - 14

LM = 7x - 37

KM = 3x + 23

angle K = angle L

so, the sides LM and KM must be equally long. that gives us

7x - 37 = 3x + 23

4x = 60

x = 15

KL = 9x-14 = 9×15 - 14 = 135-14 = 121

LM = 7x-37 = 7×15 - 37 = 105-37 = 68

KM = 3x+23 = 3×15 + 23 = 45+23 = 68

15.

XY = 13x - 21

YZ = 8x - 6

XZ = x + 4

angle X = angle Z

so, the sides XY and ZY (or YZ) must be equally long. that gives us

13x - 21 = 8x - 6

5x = 15

x = 3

XY = 13x-21 = 13×3 - 21 = 39-21 = 18

YZ = 8x-6 = 8×3 - 6 = 24-6 = 18

XZ = x + 4 = 3+4 = 7

Answer:

i just need point im so sorry only in Geomotry

Answer:

4

Step-by-step explanation:

8x - 4 = 4x + 12

Add 4 to both sides:

8x = 4x + 16

Subtract 4x from both sides:

4x = 16

Divide by 4 from both sides"

x = 4

well im guessing it the average highway speed 60 mph so it is $7

Answer:

In a word processing document or on a separate piece of paper, use the guide to construct a two-column proof proving that lines l and m are parallel.

Answer:

0

Step-by-step explanation:

There is no gradient there.

Answer: 6.4 and in fraction form 32/5

Answer:

32/5 or 6 2/5 which 6 2/5 is the simplified answer

Step-by-step explanation:

so first you want to turn your mixed numbers( 2 2/3 and 2 2/5) into fractions

so you turn 2 2/3 into a fraction by multiply 2 times 3 + 2 and you keep the denominator so it would be 8/3

Then you would do the same for the other one 2 times 5 +2 and that would be 12/5

The multiply 8/3 times 12/5 but cross simplify 3 and 12 make 12 four and make 3 one

so then your problem should look like this 8/1 times 4/5 and the answer is 32/5 or if you simplify it would be 6 2/5

'Hope this helped

Answer:

A

Step-by-step explanation:

Expressing the identity in terms of a and b

(a + b)³ = a³ + b³ + 3ab(a + b)

Subtract 3ab(a + b) from both sides , then

a³ + b³ = (a + b)³ - 3ab(a + b) ← substitute given values

a³ + b³ = 12³ - 3(7)(12) = 1728 - 252 = 1476

Step-by-step explanation:

I hope you get it. you have to substitute and also find the value of a3 + b3

Answer:

3x+7

  3

Step-by-step explanation:

(3x-7) × (3x+7) × ____2x+4_____

         6                     3x∧2-x-14

(3x-7) × (3x+7) × ____2(x+2)_____

         6                 3x∧2 × 6x-7x-14

(3x-7) × (3x+7) × _____x+2_______

         3                  3x × (x+2)-7(x+2)

(3x-7) × (3x+7) × _____ x+2_______

         3                     (x+2) × (3x-7)

3x+7

  3

Hope this helps! :)

Answer:

<3 = 47 degrees

<4 = 133 degrees

<5 = 47 degrees

<6 = 133 degrees

<7 = 47 degrees

<8 = 133 degrees

Angles 1 = 3 = 5 = 7 (vertical angles

Step-by-step explanation:

Step-by-step explanation:

[tex]f(x)=\frac{x}{x-1}[/tex]

To evaluate this function at [tex]x=1[/tex], just substitute 1 in for x:

[tex]f(1)=\frac{1}{1-1}=\frac{1}{0}[/tex]

There is no possible solution at [tex]x=1[/tex] because the value is undefined. You cannot divide by 0.

Answerrrrrrrrrr:

- 7/6

Answer:

dots?.............................................................................................................................................................................................................................................................

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

3t is also represented as 3(t)

which is multyplication

theirfor the product

Answer:

Step-by-step explanation:

3t - 5

can you keep the options?

my answers would be

5 less than product of 3 and a number

Answer:

Should be

Step-by-step explanation:

Answer: Yes

Step-by-step explanation:

Using the formula a^2+b^2=c^2, take the square of 6 (6x6=36) and 8 (8x8=64) and add them together to get the square of 10 (10x10=100) 64+36 does equal 100. Remember that the biggest number is c and the two sides a and b have to add to get c.

Answer:

B

Step-by-step explanation:

Answer:

c.

Step-by-step explanation:

but plsdoble check it

Answer:

-3/10+ 3/10

lcm=10

-3+3

______

10

=0/10 = 0

Answer:

-6/10

Step-by-step explanation:

hope it helps

Answer:

I have attached my answer below.

Step-by-step explanation:

Sorry, I was not able to do the last one as I don't know how to do it.

Hopefully this helps!!

15% off $30 has lowest sale price. Therefore, option C is the correct answer.

A sale price is the discounted price at which goods or services are being sold.

A) 20% off $35

20/100 ×35

= 0.2×35

=$7

Sale price =35-7=$28

B) 10% off $29

10/100 ×29

= 0.1×29

= 2.9

Sale price =29-2.9

= $26.1

C) 15% off $30

15/100 ×30

= 0.15×30

= 4.5

Sale price =30-4.5

= $25.5

D) 30% off $38

30/100 ×38

= 0.3×38

= $11.4

Sale price=38-11.4

= $26.6

Therefore, option C is the correct answer.

Learn more about the sale price here:

https://brainly.com/question/29199569.

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