Clay went for a run to prepare for a long distance race co ran 6 miles directly north and then 8 miles directly west. From there, he ran the diagonal distance back to his house. How many total miles did Clay run?

Answer:

2

Step-by-step explanation:

-8(17-12)

------------

-2(8-(-2)

= -8(5)

--------

-2(10)

= -40

----------

-20

Answer:

x>3

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Inequality Form:

x > 3

Interval Notation:

( 3 , ∞ )

Answer:

3

Step-by-step explanation:

22=6c=4+12c

    -6c      -6c

22=4+6c

-4   -4

18=6c

/6   /6

3=c

Answer:

7

Step-by-step explanation:

try substituting

crossmultyply

x=-9-y

substituting

-9-y=-25+9

y=16

substituting

pick one of the equations

x+y=-9

x-16=-9

x=-9+16

x=7

According to Khayyam-Pascal triangle ,

the value of n is 8.

[tex] look \: \\ \\ {(x + 1)}^{8} = {x}^{8} + 8 {x}^{7} + 28 {x}^{6} + 56 {x}^{5} + 70 {x}^{4} + 56 {x}^{3} + 28 {x}^{2} + 8x + 1 \\ \frac{56}{28} = 2 [/tex]

Recall the binomial theorem:

[tex](a+b)^n=\displaystyle\sum_{k=0}^n\binom nk a^k b^{n-k}[/tex]

where

[tex]\dbinom nk=\dfrac{n!}{k!(n-k)!}[/tex]

is the binomial coefficient. So

[tex](x+1)^n=\displaystyle\sum_{k=0}^n\binom nk x^k[/tex]

The x² term occurs for k = 2, which has coefficient

[tex]\dbinom n2=\dfrac{n!}{2!(n-2)!}=\dfrac{n(n-1)}2[/tex]

The x³ occurs for k = 3, with coefficient

[tex]\dbinom n3=\dfrac{n!}{3!(n-3)!}=\dfrac{n(n-1)(n-2)}6[/tex]

The latter coefficient is twice the other one, so that

[tex]\dfrac{n(n-1)(n-2)}6=2\cdot\dfrac{n(n-1)}2[/tex]

Solve for n :

[tex]\dfrac{n(n-1)(n-2)}6=n(n-1)[/tex]

[tex]n(n-1)(n-2)=6n(n-1)[/tex]

[tex]n-2=6[/tex]

[tex]\boxed{n=8}[/tex]

Answer:

69

\

Step-by-step explanation:

Answer:

1 63636363 /1000000000

Step-by-step explanation:

Since it is 1. ..., it would be a mixed number with the 1 out front. There are 9 numbers after the decimal, making the denominator one billion, and then take the actual numbers (63) and make them the numerator.

Answer:

a

Step-by-step explanation:

Answer:

k= -8/9j+ -1/9m+ 1

Step-by-step explanation:

Let's solve for k.

m=−8j−9k+9

Step 1: Flip the equation.

−8j−9k+9=m

Step 2: Add 8j to both sides.

−8j−9k+9+8j=m+8j

−9k+9=8j+m

Step 3: Add -9 to both sides.

−9k+9+−9=8j+m+−9

−9k=8j+m−9

Step 4: Divide both sides by -9.

-9k/-9= 8j+m-9/-9

Answer:

concrete jungles where dreams are made of

Step-by-step explanation:

Answer:

There is a common ratio of 2/3 between the height of the ball at each bounce. So, the bounce heights form a geometric sequence: 27, 18, 12. Two-thirds of 12 is 8, so on the fourth bounce, the ball will reach a height of 8 feet.

Step-by-step explanation:

Sample response :)

Answer:

12.55 milliliters

Step-by-step explanation:

0.25+12.3=12.55

Good luck!

The  mixture contains 12.55 milliliters.

Two or more expressions with an Equal sign is called as Equation.

Given that For part of a science experiment, Andre adds 0.25 milliliters of dye to 12.3 milliliters of water.

we need to find the amount of  milliliters does the mixture contain.

Add twelve point three plus zero point two five.

12.3+0.25

 12.30

+  0.25

_______

12.55

Hence, the  mixture contains 12.55 milliliters.

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ3

Answer:

it last 2 hours and 30 min

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

Answer: true

Step-by-step explanation:

Answer:

Both Triangle are congruent because they have equal sides (the same amount of ticks on each side) The triangles are congruent.

Step-by-step explanation:

Answer:

45

Step-by-step explanation:

81° + a° + 2a° = 180°

81° + 3a = 180°

3a = 180 - 81

3a = 99°

a = 99 ÷ 3

a = 33°

Therefore , a = 33° .

Answer:

[tex]x<-5\text{ or } x>1[/tex]

Step-by-step explanation:

We have:

[tex](x+5)(x-1)[/tex]

And we want to find the value of x such that the expression is positive. So, we can write this as the following inequality:

[tex](x+5)(x-1)>0[/tex]

Solve for the inequality. First, we can solve for the zeros like a normal quadratic. So, pretend the inequality is with an equal sign:

[tex](x+5)(x-1)=0[/tex]

Zero Product Property:

[tex]x+5=0\text{ or } x-1=0[/tex]

On the left, subtract 5.

On the right, add 1.

So, our zeros are:

[tex]x=-5, 1[/tex]

Since our inequality is a greater than, our answer is an "or" inequality with our answer being all the values to the left of our lesser zero and all the values to the right of our greater zero.

So, our solution is:

[tex]x<-5\text{ or } x>1[/tex]

And we're done!

Answer:

The regions where (x+5) (x-1) >0 is x< -5  or x>1

Step-by-step explanation:

(x+5) (x-1) >0

First find the zeros

(x+5) =0    x-1 =0

x= -5      x=1

We then have to check the regions

x< -5              -5 <x<1                  x>1

First x< -5

(x+5) (x-1)

X+5 will be negative  ( x-1) will be negative

(-) * (-) = +  so the values will be positive

Then     -5 <x<1      

X+5  will be positive   ( x-1) will be negative

( +) * (-)  will be negative

First x>1

(x+5) (x-1)

X+5 will be positive  ( x-1) will be positive

(+) * (+) = +  so the values will be positive

The regions where (x+5) (x-1) >0 is x< -5  or x>1

Answer:

Step-by-step explanation:

Yes I would be glad to help you

Answer:

Step-by-step explanation:

280÷8=35+5=$40

Answer:

A:-1

Step-by-step explanation:

Answer:

They sold 60 muffins and 60 cookies yesterday

It is a LCM problem

Step-by-step explanation:

6 muffins together

20 cookies together

To sell the same amount of muffins and cookies,

Find the lowest common multiple of 6 muffins and 20 cookies

6 muffins = 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72, 78

20 cookies = 40, 60, 80

The lowest common multiple of 6 muffins and 20 cookies is 60

Therefore,

They sold 60 muffins and 60 cookies yesterday

It is a LCM problem

Answer:

x=3

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

5(x−1)+3=13

(5)(x)+(5)(−1)+3=13(Distribute)

5x+−5+3=13

(5x)+(−5+3)=13(Combine Like Terms)

5x+−2=13

5x−2=13

Step 2: Add 2 to both sides.

5x−2+2=13+2

5x=15

Step 3: Divide both sides by 5.

5x

5

=

15

5

x=3

Answer:

x=3

Answer:

3x=4

Step-by-step explanation:

3x+3=7

3x=4

Step-by-step explanation:

-6a - 4(a - 3) = -6a + 15

=> -6a - 4a + 12 + 6a - 15 = 0

=> -4a - 3 = 0

=> -4a = 3

=> a = -3/4

Answer:

6/16n is your answer I think

Answer:

Isolate the variable by dividing each side by factors that don't contain the variable.

x = − 38

Step-by-step explanation:

Answer:

−38

Step 1: Simplify both sides of the equation.

−(6x+8)=4(17−x)

−6x+−8=(4)(17)+(4)(−x)(Distribute)

−6x+−8=68+−4x

−6x−8=−4x+68

Step 2: Add 4x to both sides.

−6x−8+4x=−4x+68+4x

−2x−8=68

Step 3: Add 8 to both sides.

−2x−8+8=68+8

−2x=76

Step 4: Divide both sides by -2.

−2x−2=76−2

x=−38

Answer: 120

Step-by-step explanation:

Answer:

120

Step-by-step explanation:

Answer:

Domain: 8,4,0,1

Range: 7,9,0,17

Answer:

Gigi Jojo Jojo hip-hop Dutch him

so do Cob zoom from chick dunno drink gum

Step-by-step explanation:

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