2|3x - 2|= 14 how would you solve this absolute value equation?

Answer:

Point A reamains unchanged.

Step-by-step explanation:

Let

A(1, -1)

B(1, 1)

C(-4, -1)

D (-4, 1)

REFLECTED OVER Y-AXIS:

When we reflected over Y-AXIS we have to change the sign of X-Coordinates of all vertices so, above given vertices becomes

A(-1, -1)

B(-1, 1)

C(4, -1)

D (4, 1)

REFLECTED OVER X-AXIS:

When we reflected over X-AXIS we have to change the sign of Y-Coordinates of all vertices so, above given vertices becomes

A(-1, 1)

B(-1, -1)

C(4, 1)

D (4,-1)

When we rotated over 180 degree than we have to change the signs of both coordinates of all vertices

A(1, -1)

B(1, 1)

C(-4, -1)

D (-4,1)

we can see that after the opertion of all three processes i.e  reflected over the y-axis, reflected over the x-axis, and rotated 180ºrespectively vertices are same as original vertices so, Rectangle remain unchanged. and point A is also unchanged

Two numbers that are the same distance from zero are called opposites.

-8 and 8 are Opposites.

Given :

An expression sin(140°)cos(20°) – cos(140°)sin(20°) .

To Find :

The value of given expression .

Solution :

We know ,

sin(A - B) = sin A cos B - cos A sin B

By comparing with above formula , we get :

A = 140° and B = 20° .

So , sin(140°)cos(20°) – cos(140°)sin(20°) = sin ( 140°- 20°) = sin 120° .

Now , [tex]sin 120^\circ{} = \dfrac{\sqrt{3}}{2}[/tex]

Therefore , the value of expression is [tex]\dfrac{\sqrt{3}}{2}[/tex] .

Hence , this is the required solution .

Answer:

x = -1

Step-by-step explanation:

x-7/4=-2

x-7=-8

x=-1

Answer:

No the she should have been charged $203.88 the reason is if you times 12 by 16.99 you will get 203.88 not 220.87

The amount in credit card is enough to pay 12 months gym charge.

Given that, the charge for one month  is $16.99.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Number of months = 12

Let the total charge for 12 months be x.

Now, x = 16.99×12

= $203.88

Therefore, the amount in credit card is enough to pay 12 months gym charge.

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Answer:

567 miles

Step-by-step explanation:

Total distance travelled till now = 315 miles

Total time taken to cover the above distance =  5 hours.

Distance covered in each hour = [tex]\frac{315}{5} = 63[/tex]

Thus, it means in each hour it covers the distance of 63 miles.

Assuming the same speed can be continued and maintained, the total distance that can be covered in 9 hours shall be:

63 miles in each hour [tex]\times[/tex] 9 hours = 567 miles.

Answer:

567 miles

Step-by-step explanation:

Answer:

-21

Step-by-step explanation:

Answer:

i know its already been answered but yes, it is -21

Step-by-step explanation:

hope it helps, can anyone look at my most recent question? i'll appreciate it

Answer:

10

Step-by-step explanation:

Sqrt((-8)^2+((-2)-4)^2)

Answer:

40 possible answers

Step-by-step explanation:

20 answers from the 10 true or false questions and 20 answers from the 5 multiple choice questions

Answer:

Step-by-step explanation:

g(x) = x - 2x²

To find g( - 3) + 13 substitute the value of x that's - 3 into g(x) and add 13 to it

We have

g( - 3) + 13 = - 3 - 2(-3)² + 13

= -- 3 - 2(9) + 13

= 3 - 18 + 13

We have the final answer as

Hope this helps you

Answer:

The car

Step-by-step explanation:

1mi = 1.6 km

95km = 95/1.6 = 59.375 km

95km/h = 59.375mi//h

     65mi/h

Comparative:

65 > 59.375

then:

the car is more faster

Answer:

The answer is A : the car will take less time because it travels at a faster speed. the train will travel at 95/1.6=59.03 while the car travels at 65

Step-by-step explanation:

Answer:

1) d=25 2) d=2[tex]\sqrt{2}[/tex]  3) d=[tex]13\sqrt{2}[/tex]      

Step-by-step explanation:

[tex]d=\sqrt{(-2-1)^2+(-2-2)^2}\\ d=\sqrt{(-3)^2+(-4)^2} \\d=\sqrt{(-9)+(-16)}\\d=\sqrt{-25} \\d=5[/tex]

[tex]d=\sqrt{(5-3)^2+(-4-(-6))^2}\\ d=\sqrt{(2)^2+(2)^2} \\d=\sqrt{(4)+(4)}\\d=\sqrt{8} \\d=2\sqrt{2}[/tex]

[tex]d=\sqrt{(8-(-9))^2+(-7-0)^2}\\ d=\sqrt{(17)^2+(-7)^2} \\d=\sqrt{(289)+(49)}\\d=\sqrt{338} \\d=13\sqrt{2}[/tex]

Answer:

work is attached and shown

Answer: See below

Step-by-step explanation:

a.

To solve for h, we want to use algebraic properties to isolate h.

[tex]A=\frac{1}{2}h(b_1 +b_2)[/tex]                [multiply both sides by 2]

[tex]2A=h(b_1 +b_2)[/tex]                 [divide both sides by b₁+b₂]

[tex]\frac{2A}{b_1+b_2} =h[/tex]

[tex]h=\frac{2A}{b_1+b_2}[/tex]

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

b.

To solve for b₂, we first multiply both sides by 2. Then, we divide both sides by h. This leaves us with [tex]\frac{2A}{h} =b_1+b_2[/tex]. To get b₂, you subtract both sides by b₁.

Answer:

h=2A/(b1+b2)

and

b2=2A/h-b1.

Answer:

A

Step-by-step explanation:

just did the quiz

Answer: The answer is A on the test I got 100% on the question.

Step-by-step explanation: ed 2020

Answer:

23

Step-by-step explanation:

Let the mean also is x

Mean = Sum of all observations / Total no of observations

x = 30 + 12 + 40 + 10 + x / 5

5x = 92 + x

4x = 92

x = 23

Therefore 23 is the mean and also one of the numbers.

The value of x such that mean of  30, x, 12, 40, and 10 is equal to x will be 23.

The mean is the average of a data set. Mean gives us an idea of that how much amount of overall data have.

Mean = sum of data / Number of data

It is known that,

Mean = sum of data / Number of data

x = (30 + x + 12 + 40 + 10)/5

5x = x + 92

4x = 92

x = 23

Hence "The value of x such that mean of  30, x, 12, 40, and 10 is equal to x will be 23".

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Answer:

y = ± [tex]\sqrt{\frac{a-x}{2b} }[/tex]

Step-by-step explanation:

Given

x = a - 2by² ( add 2by² to both sides )

x + 2by² = a ( subtract x from both sides )

2by² = a - x ( divide both sides by 2b )

y² = [tex]\frac{a-x}{2b}[/tex] ( take the square root of both sides )

y = ± [tex]\sqrt{\frac{a-x}{2b} }[/tex]

Answer:

[tex]y = a - x \di2b[/tex]

Step-by-step explanation:

[tex]2b {y }^{2} = a - x[/tex]

[tex]2b {y}^{2} \div 2b = a - x \ \div 2b[/tex]

[tex] {y}^{2} = a - x \div 2b[/tex]

[tex]y = \sqrt{a - x \div 2b} [/tex]

Answer:

Step-by-step explanation:

If points A, B, and C are collinear and point B is the midpoint of AC then

AB = BC

12x - 398 = 22

   + 398      + 398

 12x  =  420

  ÷12    ÷12  

  x = 35

Answer:

3 cups of vinegar

Step-by-step explanation:

∵ Nick uses the amount of vinegar for every 1 cup of olive oil = [tex]\frac{1}{4}[/tex] cup

∴ He will need the amount of vinegar for 12 cups of olive oil = [tex]\frac{1}{4}\times 12[/tex] cups

                                                                                                 = 3 cups

Therefore, Nick will need 3 cups of vinegar to make salad dressing.

Answer:

D. X = 7

Step-by-step explanation:

See image for explanation

Answer:

112

Step-by-step explanation:

m<pmo + m<qmn = m<pmn 90+22=112

Answer:

112

Step-by-step explanation:

add 90 and 22

Step-by-step explanation:

this is your answer..........

Answer:

[See Below]

Step-by-step explanation:

✦ Given that [tex]1=8\frac{1}{3}[/tex] all you have to do is multiply:

So [tex]x=250[/tex].

~Hope this helps Mate. If you need anything feel free to message me.

Answer:

-7n - .9

Step-by-step explanation:

By distributing the - to the parentheses, you must add a - sign to each number in the parentheses. This makes the positives turn negative.

Answer: x = 2

OA. The solution is

(Simplify your answer.)

Step-by-step explanation:

Answer:

y = -2x - 8

Step-by-step explanation:

Parallel lines always have the same slope. Here, it is -2.

So, our equation so far looks like this:

y = -2x + b, where b is the y-intercept

We need to find b. We know our line passes through (-4, 0), so let's plug -4 in for x and 0 in for y:

y = -2x + b

0 = -2 * (-4) + b

0 = 8 + b

b = -8

Since b = -8, our equation is thus y = -2x - 8.

~ an aesthetics lover

Answer:

  5

Step-by-step explanation:

Simplify the equation:

  2m -10 = -3m +15

Add 3m

  5m -10 = 15

Add 10

  5m = 25

Divide by 5

  m = 5

Answer:

try 6 .75. I'm not to sure but I tried

Answer:

X/24

Step-by-step explanation:

he ratio of the unknown amount (x) invested in company A to the known amount ($24) invested in company B is X/24