Solve the equation . Show your work

Answer:

a = b = 1

Step-by-step explanation:

x² - 2x + 2 = ( x - a )² + b

x² - 2x + 2 = ( x² - 2x + 1) - 1 + 2 = (x - 1)² + 1

a = b = 1  

Answer:

6.63

Step-by-step explanation:

Answer:

it is c

Step-by-step explanation:

tje biggest is 34-9 which is smallest and get 25

Answer:

200

Step-by-step explanation:

It's 200 because you would take the 1,000 and multiply it by the power of 3, which is 100,000. So therefore you would do the same thing with the 2, which 2 to the power of 3 is 200. There is your explanation.

Answer: Width would become 21 and length would become 33. Original perimeter is 100, increased perimeter is 108 which is a 7.69% increase

Answer:

5 yards = 15 feet

Step-by-step explanation:

Following the formula that for every 1 yard we have 3 feet.

x = amount of yards

y = amount of feet per yard

z = amount of feet total

[tex]x * y = z[/tex]

Substitute:

[tex]5 * 3 = z[/tex]

[tex]15 =z[/tex]

Final answer:

5 yards = 15 feet

Answer:

1. The speed of the truck, S = D/T.

2. The formula that connects D and T is: S = D/T.

3. The coefficient of variation, k, is the ratio of the standard deviation to the mean speed.

Step-by-step explanation:

a) The speed of a truck at a fixed speed is given as the distance covered by the truck divided by the time it takes the truck to cover the said distance.  This implies that speed is a function of distance and time.  However, this formula represents the mean speed.  There are variations in speed.

b) If the truck covers a distance of 60 kilometers, for example, under 3 hours, we can conclude that the speed is 20 kilometers per hour (60/3) or 20 km/hr.

Answer:

b

Step-by-step explanation:

significant figures means counting the digits that either come before a trail of zeros (45.0000 has 7 significant figures) or come after a trail of leading zeros (00.31 has two significant figures, because the zeros before the decimal point have no other digit in front of them and do not count) 1005.0 would have 6 significant figures

Answer:

A

Step-by-step explanation:

Distribute the -2 into (3x-6)

combine like terms!!

8x+4

Answer:

A.) 8x + 4

Step-by-step explanation:

Answer:

Required probability = 2 / 11

Step-by-step explanation:

Sample space of 5 person = 11!

One woman one man arrangement = 2!

Arrangement without woman = 10!

Required probability = [2!][10!] / [11!]

Required probability = 2 / 11

The probability that the parents will be standing next to each​ other is 2/11

Probability is the likelihood or chance that an event will occur.

Given a woman, man and their four children, if their parents will be standing next to each other, that makes it 5 people. The sample space for 5 people is 11!

Pr(parents standing next to each other) =  2!10!/11!

Pr(parents standing next to each other) = 2*10!/11*10!

Pr(parents standing next to each other) = 2/11

Therefore the probability that the parents will be standing next to each​ other is 2/11

Learn more on probability here: https://brainly.com/question/25870256

Answer:

it should be girls 12 to 18

Step-by-step explanation:

i just messed around with a calculator and found it.

Answer:

[tex] \huge{ \boxed{ \bold{ \tt{2x + 5}}}}[/tex]

[tex] \text{8x - 4 - 6x + 9}[/tex]

First, combine like terms :

Like terms are those which have the same base.

[tex] \longrightarrow{ \sf{8x - 6x - 4 + 9}}[/tex]

[tex] \longrightarrow{ \sf{2x - 4 + 9}}[/tex]

Remember : The negative and positive integers are always subtracted but posses the sign of the bigger integer.

[tex] \longrightarrow{ \boxed{ \sf{2x + 5}}}[/tex]

And we're done!

Hope I helped!

Best regards! :D

~[tex] \text{TheAnimeGirl}[/tex]

Answer:

y = -3x + 1

Step-by-step explanation:

Perpendicular lines have opposite reciprocal slopes, so the slope will be -3.

Plug in the slope and given point into y = mx + b

y = mx + b

-5 = -3(2) + b

-5 = -6 + b

1 = b

Then, plug in the slope and y intercept into y = mx + b again:

y = -3x + 1 will be the equation of the line

Answer:

2 7/20

Step-by-step explanation:

Answer:

Negative

Step-by-step explanation:

the slope in this equation is negetive as it is pointing in a downwards position.

Zero would be horizontal, undefined would be vertical and positive would be going in an upwards motion

Answer:

b

Step-by-step explanation:

aye

Answer:

I'll try my best in explaining the steps.

Considering both signs are greater than and less than sign, its an open circle.

For the first equation, you would have an open circle, basically one that isn't colored in, on 8 on the number line. The arrow would be pointing to the left because the equation is telling us numbers that are less than 8.

For the second equation, you would have an open circle, basically one that isn't colored in, on -1 on the number line. The arrow would be pointing to the right because the equation is telling us numbers that are greater than -1.

Step-by-step explanation:

Answer:

I didn't know the answer and sorry I am here taking freepoint because I needed them in a hurry so that I can ask my questions from someone else that's why I really sorry and thank you for free points

Answer:

Equation of line in Point Slope Form is [tex]\mathbf{y-2=-2(x-9)}[/tex]

Equation of line in Slope Intercept Form is: [tex]\mathbf{y=-2x+20}[/tex]

Step-by-step explanation:

We need to write equation of line having slope -2 and point (9,2)

a) Equation in Point Slope Form

The general equation of point slope form is: [tex]y-y_1=m(x-x_1)[/tex]

Where x₁ and y₁ are the points of line and m is slope.

x₁=9 and y₁=2 and m=-2

Putting values in formula and finding equation:

[tex]y-y_1=m(x-x_1)\\y-2=-2(x-9)[/tex]

So, Equation of line in Point Slope Form is [tex]\mathbf{y-2=-2(x-9)}[/tex]

b) Equation in Slope Intercept Form

The general equation of Slope Intercept Form is: [tex]y=mx+b[/tex]

where m is slope and b is y-intercept

Finding y-intercept using slope m=-2 and point(9,2)

[tex]y=mx+b\\2=-2(9)+b\\2=-18+b\\b=2+18\\b=20[/tex]

The equation in slope m=-2 and b=20 is:

[tex]y=mx+b\\y=-2x+20[/tex]

So, equation of line in Slope Intercept Form is: [tex]\mathbf{y=-2x+20}[/tex]

Answer:

x =2

x = -2

Step-by-step explanation:

(x - 2)(x + 2)(x^2 + 4) = 0

(x - 2) = 0

x = 0 + 2

x =  2

(x + 2) = 0

x = - 2

x = - 2

(x^2 + 4) = 0

x^2 = 4

x = [tex]\sqrt{4}[/tex]

x = 2

Answer:

180-112=68

Step-by-step explanation:

Answer:

[tex] \huge{ \boxed{ \bold{ \sf{no \: solution}}}}[/tex]

Step-by-step explanation:

Remember that the equal terms on both side should be cancelled.

[tex] \dashrightarrow{ \sf{ \cancel{5x} \: - 7 = \cancel{ 5x }}}[/tex]

[tex] \dashrightarrow{ \sf{ - 7 = 0}}[/tex]

The statement is false for any value of x. It cannot be further solved! So , 5x - 7 = -5x doesn't have any solution.

Hope I helped!

Have a wonderful time ! ツ

~TheAnimeGirl

Answer:

the answer is 8.

Step-by-step explanation:

Brainliest? uwu

Answer:

8 :)

You round down. If it was 8.5 then you'd round up, anything below would be rounded down, for example, 8.4, 8.3, 8.2, 8.1.

Answer:

cost of each kettle:

gain/loss from each transaction:

total loss = 65

loss % = 4%

Step-by-step explanation:

both kettles cost 1625

K₁ + K₂ = 1625

selling price of K₁ = [(100 + 20) / 100] x K₁ = 1.2K₁

selling price of K₂ = [(100 - 80) / 100] x K₂ = 0.8K₂

1.2K₁ = 0.8K₂

K₁ = 1625 - K₂

K₁ = 0.8K₂ / 1.2

1625 - K₂ = ²/₃K₂

1625 = ²/₃K₂ + K₂ = ⁵/₃K₂

K₂ = 1625 x ³/₅ = 975

K₁ = 1625 - K₂ = 1625 - 975 = 650

selling price = 1.2K₁ = 1.2 x 650 = 780

selling price K₂ = 0.8K₂ = 0.8 x 975 = 780

gain from selling K₁ = 780 - 650 = 130

loss from selling K₂ = 780 - 975 = 195

total loss = 195 - 130 = 65

loss % = 65 / 1625 = 0.04 = 4%

Answer:

2m+7 = m-15

2m-m+7 = -15

1m = -15-7

1m = -22

m = -22

Answer:

[tex]x^{2} -6x+xy-6y[/tex]

Step-by-step explanation:

Answer:

The values of coefficients a, b and c are

a=1

b=6

c=6

Step-by-step explanation:

We need to give the values of coefficients [a],[b] and [c]  regarding the product in the form of [tex]ax^2-bx + xy - cy[/tex]

The term given is: [tex](x+y)(x-6)[/tex]

First we will multiply the terms

[tex](x+y)(x-6)\\=x(x-6)+y(x-6)\\=x^2-6x+yx-6y[/tex]

Now comparing the product [tex]x^2-6x+yx-6y[/tex]  with the given form [tex]ax^2-bx + xy - cy[/tex]

The values of coefficients a, b and c are

a=1

b=6

c=6