Perla drives 25 miles south and then drives east. After arriving at her destination, it is determined that she is 60 miles (diagonally) from where she started. How far east did she drive?

(Pythagorean Theorem-Unknown Leg

See below

Step-by-step explanation:

[tex]A = {9}^{2} = 81 \\ \\ A = {12}^{2} = 144 \\ \\ x = \sqrt{81 + 144} \\ \\ = \sqrt{225} \\ \\ = 15\\\\A = {15}^{2} = 225 [/tex]

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Answer:

  BC = 35

Step-by-step explanation:

The sum of the segments is the overall length.

  AB +BC = AC

  (2x +6) + (6x +5) = 51 . . . . substitute given values

  8x +11 = 51 . . . . . . . . . . . . . collect terms

  8x = 40 . . . . . . . subtract 11

  x = 5 . . . . . . . . . divide by 8

  BC = 6x+5 = 6(5) +5 . . . . . . . . use the value of x to find BC

  BC = 35

Answer:

Answer: h = - 19.4

Step-by-step explanation:

h + 9.7 = - 9.7

h + 9.7 - 9.7 = - 9.7 - 9.7

h = - 19.4

Answer:

Line p will have a slope of 1/2

Step-by-step explanation:

The slope of line k is

m = ( y2-y1)/(x2-x1)

    = ( 9 -15)/(-4 -8)

   = -6/-12

   = 1/2

If the lines are parallel, they have the same slope

Line p will have a slope of 1/2

Step-by-step explanation:

We can find the slope of a line through the formula

[tex]\frac{y1 - y2}{x1-x2}[/tex]

Where x1 and y1 are the coordinates of the first point, and x2 and y2 are the coordinates of the second point.

So we substitute the values we are given into this formula:

[tex]\frac{15-9}{8-(-4)}[/tex]

and simplify:

[tex]\frac{6}{12}[/tex]

and simplify again:

[tex]\frac{1}{2}[/tex]

And so the slope of line k is 1/2x.  Since line p is parallel to line k, the slope of line p is also 1/2x.

Answer:

The horizontal line

Step-by-step explanation:

Answer:

Step-by-step explanation:

On the other hand, the vertical line has an undefined slope.

Slope is rise/run or change n y over change in x.

If the y axis coordinate never changes, then rise = 0. The only number that changes is x. x changes 1 for every 0 y changes. 0/1 = 0.

In a vertical line, however, the x coordinate is the one that doesn't change. We reverse the number from before, but we have a problem 1/0 is an undefined number since you cannot divide by 0.

Answer is second graph shown

Answer:

250,000

Step-by-step explanation:

the equation of this arithmetic sequence is 1 + 2n

1 + 2n = 999

2n = 998

n  = 499

[tex]\mathrm{\sum _{n=0}^{499}1+2n}[/tex] = 250,000

Answer:

b is 8√3 ⇒ A

Step-by-step explanation:

In the given triangle

∵ The Δ is the special right triangle 30°: 60°: 90°

∴ There is a ratio between its sides

∵ a is opposite to the angle of measure 30°

∵ b is opposite to the angle of measure 60°

∵ c is opposite the angle of measure 90°

∴ a: b: c = 1: √3: 2

∵ c = 16

→ By using the ratio between its sides

→ 30°: 60°: 90°

→  1    : √3:  2

→  a   : b   :  16

→ By using cross multiplication

∵ b × 2 = √3 × 16

∴ 2b = 16√3

→ Divide both sides by 2

∴ b = 8√3

1) function  2) not a function

the first one is a function because its y values are the same number (3), which means it is a horizontal line and horizontal lines are functions.  

the second one is not a function because the coordinates cannot have different inputs but different outputs. each input must have only one output.

the coordinates for the second one are:

(2,5); (1,1); (1,2); (3,2)

and a function cannot have two same x-coordinates. it must pass the vertical line test which is a way to tell if something is a function or not. since the second graph does not pass the vertical line test, it is not a function

hope this helps :)

Answer:

A

Step-by-step explanation:

Answer:

B.

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

Answer:

81 cm is 0.81 metre

12 tonne is 12000 kg

Volume of a cube is a^3

V=0.531441

D=M/V

=12000/0.531441

Density is 22580.11708 kg per m cube

Step-by-step explanation:

Answer:

A=3[tex]\sqrt{2}[/tex]

Step-by-step explanation:

Answer:

Step-by-step explanation:

this is an isosceles right triangle, a special triangle where if hypothenuse is x,the legs are a/sqrt2

c=6

a=6/[tex]\sqrt{2}[/tex]=3[tex]\sqrt{2}[/tex]

Answer:

115%, 1.15, 115/100

Step-by-step explanation:

Answer:

the last one

Step-by-step explanation:

uv

Answer:

$104,167 approx.

Step-by-step explanation:

Step one:

Given data

Morgan made $12,500 on the sale of a home.

Her commission she earns in selling homes is 12%

Step two:

let the cost of the home be x

So 12% of x= 12,500

12/100*x= 12,500

0.12*x=12,500

0.12x=12,500

divide both sides by 0.12

x= 12,500/0.12

x=$104,166.66

x=$104,167

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Answer:

  12.8 light-years

Step-by-step explanation:

Multiply the distance by the conversion factor.

  (1.208×10^14 km) × (1 light-year)/(9.461×10^12 km)

  = (1.208/9.461)×10^(14-12) light-year ≈ 12.8 light-year

_____

Additional comment

The term "standard form" in this context is somewhat ambiguous. In some parts of the world, "standard form" is "scientific notation." In that form, the distance is 1.28×10^1 light years.

Answer:

y=-2+1

Step-by-step explanation:

Answer:

Reflection across the x-axis: y = − f ( x ) y = -f(x) y=−f(x) The concept behind the reflections about the x-axis is basically the same as the reflections about the y-axis. The only difference is that, rather than the y-axis, the points are reflected from above the x-axis to below the x-axis, and vice versa.

the equation for g(x) after reflected over x axis and translated 4 units left

[tex]g(x)=-(x+4)^2[/tex]

Given :

Parent function is [tex]f(x)=x^2[/tex]

When a graph is reflected over x-axis then f(x)=-f(x)

When a graph is translated 'a' units left then we add 'a' with

f(x) becomes f(x+a)

Parent function f(x) is reflected over x-axis , multiply -1 with f(x)

so , [tex]f(x)=-x^2[/tex]

Now we translate 4 units to the left, add 4 with x

[tex]g(x)=-x^2\\g(x)=-(x+4)^2[/tex]

The final equation of g(x) is

[tex]g(x)=-(x+4)^2[/tex]

Learn more :  brainly.com/question/9111027

Answer: 12

Step-by-step explanation:

Answer:

35.79 minus 3 b

Step-by-step explanation:

Mariah purchases three hair barrettes by using a gift card, which starts with a balance of $35.79.

Let the number of barrettes be represented by b

She purchases 3 barrettes

Hence = 3 × b = 3b

Hence, the expression that models her purchase is given as:

$35.79 - 3b

Answer:

35.79-3b

Step-by-step explanation:

The value of the gift card 35.75 minus the cost of 3 barrettes (3b).

so 3b stands for 3 barrettes.

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Answer:

  [tex]225a^{10}[/tex]

Step-by-step explanation:

The rules of exponents apply:

  (a^b)(a^c) = a^(b+c)

  (a^b)^c = a^(bc)

  (ab)^c = (a^c)(b^c)

__

  [tex]25a^4\cdot(3a^3)^2=25a^4\cdot3^2a^{2\cdot3}=25\cdot9a^4\cdot a^6\\\\=225a^{4+6}=\boxed{225a^{10}}[/tex]

Answer:

62% and 64%

Step-by-step explanation:

no computer access = 21 + 165 = 186/300 = 0.616 = 62%

no email access = 27 + 165 = 192/300 = 0.64 = 64%

Answer:

(a)  62%

(b)  64%

Step-by-step explanation:

To find the answer to part "a" you need to divide the total number of shoppers without computer access at home by the total number of shoppers (300).

186/300 = 0.616 = 0.62

0.62 is equivalent to 62%

To find the answer to part "b" you need to divide the total number of shoppers without an email account (Regardless of computer access) by the total number of shoppers (300).

192/300 = 0.64

0.64 is equivalent to 64%.

I hope this helps!

Answer:

6x

Step-by-step explanation:

Answer:

4x+2x= 6x

Step-by-step explanation:

When combining like terms you add the numbers with the same variable your answer is 6x

Answer:

a)14.75

b)7.96

c)0.94*1+7.96

Step-by-step explanation:

Answer:

Votre réponse sera n=-4

Step-by-step explanation:

9+n=5

9-9+n=5-9  (Soustraire 9 des deux côtés)

n= -4

J'espère que cela t'aides :)

Step-by-step explanation:

First, you want to start by creating an equation to find the unit rate

calculators = c

9c = 96.30

Solve!!!

9c/9 = 96.3/9

c= 10.7

A calculator costs $10.70 (Sorry I will be using the dollar sign instead)

Now you want to set an expression for 13 calculators

13c

Substitute 10.7 in

13(10.7)

Multiply them

$139.10

13 calculators cost $139.10

I hope this helps!!!

Answer:4 100/477

Step-by-step explanation:You need to divide it.And first you change the mixed numbers 27 8/9 and  6 5/8 to improper fraction .27 8/9 as a improper fraction is 251/ 9 . 6 5/8 as a improper fraction is  53/ 8 .ANd now you divide 251/ 9  by 53/ 8.In order to divide fractions you need to do KCF which stand for Keep ,change,flip .SO you have 251/ 9  divide 53/ 8  ,now you KEEP 251/9 ,Change the division sign to multiplication ,and flip 53/8 to 8/53.And now you multiply  251/9 by 8/53 which gives you 2008/ 477.Lastly you change 2008/ 477 which is a improper fraction to a mixed number which is 4 100/477.