Eddie is playing hide-and-seek with Harold and Gavin. Harold is hiding 12 meters south
of Eddie, and Gavin is hiding 16 meters east of Harold. How far apart are Eddie and Gavin?

Answer:

3 and 4

Step-by-step explanation:

Answer:

[tex]\boxed {x = -19}[/tex]

Step-by-step explanation:

Solve for the value of [tex]x[/tex]:

[tex]3(-x - 3) + x - 3 = 26[/tex]

-Use Distributive Property:

[tex]3(-x - 3) + x - 3 = 26[/tex]

[tex]3(-x ) - 9 + x - 3 = 26[/tex]

-Combine both [tex]-9[/tex] and [tex]3[/tex]:

[tex]3(-x ) - 9 + x - 3 = 26[/tex]

[tex]3(-x ) - 12 + x = 26[/tex]

-Add [tex]12[/tex] to both sides:

[tex]3(-x ) - 12 + 12 + x = 26 + 12[/tex]

[tex]3(-x) + x = 38[/tex]

-Multiply the [tex]-1[/tex] by [tex]3[/tex]:

[tex]3(-x) + x = 38[/tex]

[tex]-3x + x = 38[/tex]

-Combine both the [tex]-3x[/tex] and [tex]x[/tex]:

[tex]-3x + x = 38[/tex]

[tex]-2x = 38[/tex]

-Divide both sides by [tex]-2[/tex]:

[tex]\frac{-2x}{-2} = \frac{38}{-2}[/tex]

[tex]\boxed {x = -19}[/tex]

Therefore, the value of [tex]x[/tex] is [tex]-19[/tex].

 [tex]\bold{Hello!}\\\bold{Your~Answer~Is~Below!}[/tex]

______________________________

 [tex]\bold{Solution~Steps:}[/tex]

When we have a problem with parenthesis we must use distributive property:

         * [tex]3(-x)-9+x-3=26[/tex]

Subtract [tex]3[/tex] from [tex]-9[/tex]:

         * [tex]3(-x)-12+x=26[/tex]

Add [tex]12[/tex] to both sides:

         * [tex]3(-x)+x=38[/tex]

Multiply [tex]3[/tex] and [tex]-1[/tex]:

         * [tex]-3x+x=38[/tex]

Combine like terms:

         * [tex]-2x=38[/tex]

Divide to get [tex]x[/tex] alone:

        [tex]\boxed{x=-19}[/tex]

______________________________

 [tex]\bold{Hope~this~helps,}\\\bold{And~best~of~luck!}\\\\\bold{~~~~~~-TotallyNotTrillex}[/tex]

9514 1404 393

Answer:

  x = 2

Step-by-step explanation:

Taking antilogs, the equation becomes ...

  x(x +3) = 10

  x^2 +3x +2.25 = 12.25 . . . . add (3/2)² to complete the square

  (x +1.5)² = 3.5² . . . . write as squares

  x = -1.5 +3.5 . . . . . . take the positive square root*

  x = 2

_____

* The negative square root gives an extraneous solution (x=-5).

__

I find that using a graphing calculator with the original equation avoids extraneous solutions. Here we transform the equation to the form f(x) = 0, so the x-intercept is the value of x we seek.

Answer:

3 gallons I am in math club believe it or not

Answer:

5 is the answer

Step-by-step explanation:

because i said it was

Simultaneous equations can be solved by substitution, elimination, graphs and by matrices.

The values of x, y and z are:

The equations are given as:

[tex]\mathbf{-x - y -z = -8}[/tex]

[tex]\mathbf{-4x + 4y +5z = 7}[/tex]

[tex]\mathbf{2x +2z = 4}[/tex]

Make z the subject in [tex]\mathbf{2x +2z = 4}[/tex]

[tex]\mathbf{2z = 4 - 2x}[/tex]

Divide by 2

[tex]\mathbf{z = 2 - x}[/tex]

Substitute [tex]\mathbf{z = 2 - x}[/tex] in [tex]\mathbf{-x - y -z = -8}[/tex]

[tex]\mathbf{-x - y -z = -8}[/tex]

[tex]\mathbf{-x - y - (2-x) = -8}[/tex]

[tex]\mathbf{-x - y - 2+x = -8}[/tex]

Cancel out common terms

[tex]\mathbf{- y - 2 = -8}[/tex]

Add 2 to both sides

[tex]\mathbf{- y = -8+2}[/tex]

[tex]\mathbf{- y = -6}[/tex]

Divide by -1

[tex]\mathbf{y = 6}[/tex]

Substitute [tex]\mathbf{z = 2 - x}\mathbf{\ and\ y = 6}[/tex] in [tex]\mathbf{-4x + 4y +5z = 7}[/tex]

[tex]\mathbf{-4x + 4 \times 6 + 5 \times (2 - x) = 7}[/tex]

[tex]\mathbf{-4x + 24 + 5 \times (2 - x) = 7}[/tex]

Open brackets

[tex]\mathbf{-4x + 24 + 10 - 5x = 7}[/tex]

Collect like terms

[tex]\mathbf{-4x - 5x =- 24 - 10 + 7}[/tex]

[tex]\mathbf{-9x =-27}[/tex]

Divide through by -9

[tex]\mathbf{x =3}[/tex]

Recall that: [tex]\mathbf{z = 2 - x}[/tex]

So, we have:

[tex]\mathbf{z = 2-3}[/tex]

[tex]\mathbf{z = -1}[/tex]

Hence, the results are:

[tex]\mathbf{x =3}[/tex]

[tex]\mathbf{y = 6}[/tex]

[tex]\mathbf{z = -1}[/tex]

Read more about simultaneous equations at:

https://brainly.com/question/10852714

Answer:

8 years

Step-by-step explanation:

With Simple interest you can calculate the annual interest at 6000x.07=$420 annual interest

Take the Total Interest $3360/$420= 8 Years

Answer:

1) (2,10) is solution of y=4x+2

2) (7,5) is not solution of 2x+y=5

3) (-3,3) is not solution of y=6-x

4) (10,-1) is solution of x+8y=2

5) (2,21) is not solution of y=6x+7

6) (6,-8) is solution of 3x-y=26

Step-by-step explanation:

1) y=4x+2 (2,10)

Put x=2 and y=10 and check if both sides are equal or not

10=4(2)+2

10=8+2

10=10

So, (2,10) is solution of y=4x+2

2) 2x+y=5 (7,5)

Put x=7 and y=5 and check if both sides are equal or not

2x+y=5

2(7)+5=5

14+5=5

19≠5

So, (7,5) is not solution of 2x+y=5

3) y=6-x (-3,3)

Put x=-3 and y=3 and check if both sides are equal or not

y=6-x

3=6-(-3)

3=6+3

3≠9

So, (-3,3) is not solution of y=6-x

4) x+8y=2 (10,-1)

Put x=10 and y=-1 and check if both sides are equal or not

x+8y=2

10+8(-1)=2

10-8=2

2=2

So, (10,-1) is solution of x+8y=2

5) y=6x+7 (2,21)

Put x=2 and y=21 and check if both sides are equal or not

y=6x+7

21=6(2)+7

21=12+7

21≠19

So, (2,21) is not solution of y=6x+7

6) 3x-y=26 (6,-8)

Put x=6 and y=-8 and check if both sides are equal or not

3x-y=26

3(6)-(-8)=26

18+8=26

26=26

(6,-8) is solution of 3x-y=26

Answer:

C

Step-by-step explanation:

it's c

have an nice day

Step-by-step explanation:

so sorry

don't know but please mark me as brainliest please

The answer to this problem is : (D). One-half minus I StartFraction StartRoot 3 EndRoot Over 2 EndFraction

Fractions is an arithemetic expression that display a number having a numerator and denominator

surds are the square roots of numbers that cannot be expressed into a simplified number.

I which means bar 1, is the imaginary unit or imaginary number.

In conclusion, the answer to the problem is, One-half minus I StartFraction StartRoot 3 EndRoot Over 2 EndFraction

Learn more about fractions : https://brainly.com/question/78672

#SPJ2

Answer:

D. 1/2+i(sqrt3/2)

Step-by-step explanation:

edg 2023

Answer:

(13/24)

Step-by-step explanation:

let’s find a common number that we can get on the denominator

4 can be multiplied to get 48

6 can be multiplied to get 48

and 8 can also be multiplied to get 48

4(12) = 48

so for the equation (1/4) the numerator and denominator will both be multiplied by 12

(1/4)x(12/12) = (12/48)

6(8)= 48

(1/6)x(8/8) = (8/48)

8(6) = 48

(1/8)x(6/6) = (6/48)

now the fractions are

(12/48)+(8/48)+(6/48)

we can add them now because they have the same denominator and we get:

(26/48)

this can be simplified if we divide both the numerator and denominator by 2 and we get

(13/24)

Answer:

[tex]\frac{13}{24}[/tex]

Step-by-step explanation:

LCM(4, 6, 8) = 24

[tex]\frac{1}{4}[/tex] + [tex]\frac{1}{6}[/tex] + [tex]\frac{1}{8}[/tex] = [tex]\frac{6+4+3}{24}[/tex] = [tex]\frac{13}{24}[/tex]

Answer:

Last option?

Step-by-step explanation:

ax+by=c

4x+6y=60

a=4

b=6

c=60

Answer:

The point E is located at (0, -7)

Answer:

132

Step-by-step explanation:

area of square =4l

= 4× 11

=44

total length =44×3

=132m

Answer:

x= 94

Step-by-step explanation:

Answer:

d, or 63 is the answer

Answer:

0.5

Step-by-step explanation:

The slope of the line is 1/2, so the answer is 0.5

Answer:

3 in this case is equal to 12/4 (as that simplifies to get 3/1, which is simply 3). Adding this to 3/4, you get 15/4.

The reciprocal of 15/4 is 4/15.

The product of these two is 60/60, or 1

Step-by-step explanation:

Answer:

8956hfjfjffjfjfjdsjsjsjsjdj

Answer:

-.932

Step-by-step explanation:

-.932 has a strong negative correlation.

so line ab is parrallel and so is xy it is asking you to prove that angle 8 + angle 9 = 180

so since they are parrallel 8 is equal to 12 or you could do 9 is equal to 5 then you can see that they sit on the same straight line so angle9 + angle8 = 180 degrees

Answer:

Point of intersection is (6,0)

Step-by-step explanation:

Given:

Consider the inequality is [tex]|x+3|<5[/tex] and its solution set is [tex]-8<x<2[/tex].

To find:

The statement that verify the solution set.

Solution:

Any value into the inequality form the solution set [tex]-8<x<2[/tex], will create a true statement and any value into the inequality not form the solution set [tex]-8<x<2[/tex], will create a false statement.

To verify the solution set set, we need to put any value form solution set into the given inequality.

Substituting a value into the inequality from the solution set, such as -2, will create a true statement.

Therefore, the correct option is A.

Answer:

1 and 4

Step-by-step explanation:

got it right on edge

the answer is supposed to be 132 at the most of a

for b it is 165

Answer:

a=132

b=165

Step-by-step explanation:

,

Answer:

positive ans=5.5

hope it help u

Answer:

The slope is -5

Step-by-step explanation:

For every 1 value moved in the x value, the line goes 5 values down. This means the slope is -5/1 or -5.

I hope that this helps! :)