Find the distance between the points.
(3,3) and (3,-5)

Answer:

37

Step-by-step explanation:

LMN is one big line

LM=22

LM=15

LN=22+15=37

Answer:

LN = LM + MN = 37

Step-by-step explanation:

L————————-M———————-N

22. 15

L————————-37———————-N

Answer:

x=0 , x = 1/2

Step-by-step explanation:

(4x-1)=1 —> 4x-1=1—> 4x=1+1—> 4x=2 —> x=2/4 —> x= 1/2

-(4x-1)=1—>-4x+1=1—> 4x= 1-1 —> x=0

Hello there!

We are given the equation:

[tex] \displaystyle \large{ |4x - 1| = 1}[/tex]

Definition/Property

[tex] \displaystyle \large{ |a| = \sqrt{ {a}^{2} } } \\ \displaystyle \large{ |a| = b \longrightarrow a = \pm b} \\ \displaystyle \large{ |a| = \begin{cases} a \: \: (x \geqslant 0) \\ - a \: \: (a < 0) \end{cases}}[/tex]

First, cancel the absolute value sign and write plus-minus beside 1.

[tex] \displaystyle \large{ |4x - 1| = 1} \\ \displaystyle \large{ 4x - 1 = \pm 1} \\ [/tex]

Break in two cases.

[tex] \displaystyle \large{ 4x - 1 = \begin{cases} 1 \\ - 1 \end{cases}} \\ \displaystyle \large{ 4x = \begin{cases} 1 + 1 \\ - 1 + 1 \end{cases}} \\ \displaystyle \large{ 4x = \begin{cases} 2 \\ 0 \end{cases}} \\ \displaystyle \large{ x = \begin{cases} \frac{2}{4} \\ \frac{0}{4} \end{cases}}[/tex]

Therefore, x = 0 or 1/2

Let me know if you have any questions!

Topic: Absolute Value Function - Equations

Answer:

pura na hune kaam hunxa vanera jabarjasti garnu. maybe

Answer:

Step-by-step explanation:

(1,8) (-1,-2)

Slope: (-2-8)/(-1-1) = -10/-2 = 5

y -8 = 5 (x - 1)

y - 8 = 5x - 5

y = 5x +3

Answer: respuesta A EN 40000 millas

en  EN 1000000B

Step-by-step explanation

Answer:

DO NOT CHEAT

Step-by-step explanation:

IT'S HARAM >:(

a18 − a12 = 24 == 24

d == 24

I hope this is correct and helps..

Answer:

U are doing right but don't move ur compass when u are doing the line (i mean opposite line)otherwise ur line at not bisect

Answer:

1) [tex]\frac{x+3}{2x-5}=\frac{3}{2}[/tex]   (x ≠ 2,5)

=> 2(x + 3) = 3(2x - 5)

⇔ 2x + 6 = 6x - 15

⇔ 4x = 6 + 15

⇔ 4x = 21

⇔ x = 5,25

2) [tex]\frac{5y-2}{2y+8}=\frac{5}{6}[/tex] (y ≠ -4)

⇒6( 5y - 2) = 5(2y + 8)

⇔30y - 12 = 10y + 40

⇔ 20y = 52

⇔ y = 2,6

3) the denominator of the rational number is x (x ≠ 0)

because the denominator is greater than the numerator by 6

=> the numerator is x - 6

If the numerator is decreased by 1 and the denominator increased

by 1 , the number obtained is 1/3. so we have:

[tex]\frac{x-7}{x+1}=\frac{1}{3}[/tex]

⇒ 3(x - 7) = x + 1

⇔ 3x - 21 = x + 1

⇔ 2x = 22

⇔ x = 11

with x = 11 => the rational number is 5/11

4) the number we need to find is ab (a ≠ 0)

because Sum of the digits of this number is 8

=> a + b = 8 (*)

When we interchange  the digits , it is found that the resulting new number is less than the  original number by 18, we have:

ab - ba = 18

⇔ 10a + b - (10b + a) = 18

⇔ 9( a - b) = 18

⇔ a - b = 2 (**)

(*)(**) => a + b = 8

             a - b = 2

=> a = 5

    b = 3

=> the original number is 53

5) the present Arjun's age is x (years old)( x, y E N*)

the present Shriya's age is y

because now, Arjun is twice as old as Shriya => x = 2y

Five years ago, his age was three  times Shriya’s age, we have:

=> x - 5 = 3(y - 5)

⇔ x - 5 = 3y - 15

⇔ 3y - x = 10

but x = 2y => y = 10

=> x = 20

so now, Arjun is 20 years old, Shriya is 10 years old

Step-by-step explanation:

Step-by-step explanation:

The area of any 2-d quadrilateral is equal to the base of the shape times the height, though we can just sub in length and width here. The key bits of information here is the aspect ratio (4:3) and the given area (300 in^2).

So far this gives us L∗W=300in2

Now, the aspect ratio given implies for every 4 inches in length, there will be 3 inches in width. This allows us to factor out a 4 and a 3 from the Length and Width respectively and give them the same constant variable, like so:

4x∗3x=300in2

Now, some might be tempted to go ahead with 12x here, but let’s expand the left side out to see what’s really going on:

4∗x∗3∗x=300in2

From here, let’s resolve like terms Our constants will multiply together and give us 12, and x * x of course gives us x^2 to give us the following:

12x2=300in2

From here, simply divide through by 12 to isolate x on one side,x2=25

And finally take the square root of both sides to work out what your common factor is,

x=5

Now that we have out common factor, let’s plug it back into our original formula to find our Length and Width, like so.

(4∗5)in∗(3∗5)in=300in2

20in∗15in=300in2

Therefore, the Length of our rectangle is 20in, and the Width of our rectangle is 15in

Answer:

x>1

Step-by-step explanation:

m at h w ay

Answer:

true

Step-by-step explanation:

5(1+2x)= 5 +10x =10x + 5

Answer:

Yes, they are eqivelant.

Step-by-step explanation:

5(1+2x) and 10x+5

The first step is to set them equal to each other, to see if they are equivelent.

5(1+2x) = 10x+5

Distribute the 5 to both terms in the parentheses by multiplying.

5(1) + 5(2x) = 10x +5

5 + 10x = 10x +5

The communative property of addition proves that these are equal.

Answer:

-7 × (-6)

Step-by-step explanation:

7 × (-6) = -42

-6 × 7 = -42

-7 × (-6) = 42

-7 × 6 = -42

Answer:

[tex] - 7 + ( - 6) = 42[/tex]

I hope I helped you^_^

Answer:

STAY SAFE STAY UGLY.

Step-by-step explanation:

BY ELON MUSK

Answer:

100

Step-by-step explanation:

Here, the series is in A.P.

first term a = 359

common difference d = 352-359 = -7

therefore, 38th term = a + [n-1] d

= 359 + (38 -1) (-7)

= 359 - 259

= 100

Answer:

functional relationship

Step-by-step explanation:

2 goldfish per month

how many in a year

12 months in a year

24 goldfish in one year

Answer:

x = 37

m∠a = 104°

m∠b = 76

Step-by-step explanation:

Two supplementary angles will add up to 180 degrees. We can create an equation and solve for x.

3x - 7 + 2x + 2 = 180

~Combine like terms

5x - 5 = 180

~Add 5 to both sides

5x = 185

~Divide 5 to both sides

x = 37

~Find the measure of angle A

3(37) - 7

104

~Find the measure of angle B

2(37) + 2

76

Best of Luck!

9514 1404 393

Answer:

  x -y = -2

Step-by-step explanation:

The coefficients of x and y in the equation of the perpendicular line will be swapped, with one of them negated. That is, the perpendicular line will have the equation ...

  x -y = constant

The value of the constant can be found using the x and y of the given point.

  x -y = 2 -4 = -2

The perpendicular line is ...

  x -y = -2

Answer:

locks that raise or lower the boat. Traveling East a boat would have to be lowered 12' at Amsterdam, 11' at Trives Hill, and 8' at Randall. By how much does the elevation of the boat change between Amsterdam and Randall

Answer:

32.5cm

Step-by-step explanation:

Using the formula A=h_b*b/2

We get 5*13/2=32.5

Answer:

Each bag costs 0.35 cents

Step-by-step explanation:

divide 9.88 by 28 and that gives you the total for each bag of chips

Thinner candle:

y = length of the candle

x = rate it burns at every minute

y = -1/8x + 30

Thicker candle:

y = length of the candle

x = rate it burns at every minute

y = -1/10x + 30

To find the length after 3 hours:

y = -1/8(180) + 30

y = -1/10(180) + 30

Answer:

Step-by-step explanation:

Answer:

4

Step-by-step explanation: