What is the intermediate step in the form (x + a)? = b as a result of completing the
square for the following equation?
x2 + 18x + 57 = 12

Answer:

The correct options are presented as follows;

ΔABC is reflected across the y-axis to become ΔA'B'C' is rotated 90° counterclockwise about the origin to become ΔA''B''C''. Because the transformations are rigid transformations the preimage and image are congruent

Step-by-step explanation:

The coordinate of the preimage point A = (-2, 1)

The coordinate of the image point A' = (2, 1)

Similar for points B(-5, -2) and B'(5, -2), C(-3, -4) and C'(3, -4)

Which is equivalent to a reflection across the y-axis

Similarly, we have;

The coordinate of the preimage point A' = (2, 1)

The coordinate of the image point A'' = (-1, 2)

Which is equivalent to rotation of 90° counterclockwise which involves transforming a preimage (x, y) to an image (-y, x)

Similar for points B and B', C and C'

Therefore, because the reflection transformation, and the rotation transformation, are rigid transformation, the figures of the preimage and the image are congruent

Therefore, we have;

ΔABC is reflected across the y-axis to become ΔA'B'C' is rotated 90° counterclockwise about the origin to become ΔA''B''C''. Because the transformations are rigid transformations the preimage and image are congruent.

Answer:

D

Step-by-step explanation:

Answer:

Step-by-step explanation:

Step one:

we are told that their joint amount is $62

let John's amount be x

and Pedro's amount be y

so that y=x+15

Step two:

The equation to represent the situation is

62=x+(x+15)

open the bracket and solve for x we have

62=x+x+15

62=2x+15

2x=62-15

2x=47

divide both sides by 2

x=47/2

x=23.5

John has $23.5

Answer:

x = -9/2  or -4.5

Step-by-step explanation:

-2x-5=4

Add 5 to each side

-2x-5+5=4+5

-2x = 9

Divide each side by -2

-2x/-2 = 9/-2

x = -9/2  or -4.5

Answer:

207

Step-by-step explanation:

9ft=3yrds

3x69=207

Answer:

EASY. y = 4/7x+3

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

f(x)=x (slope is 1, y-intercept is zero)

g(x) = (1/3)x (slope is (1/3), y-intercept is zero)

(1/3)x = (1/3)f(x)

Answer:

B

Step-by-step explanation:

as u notice the slop of f function is higher than g function so g(x) is approximately one third of function f and there are no shifts in g(×) so no need for sum of subtract .

Answer:

So that's actually not true. When comparing decimals you should compare each digit. Remember adding a 0 at the end does not change the value of the decimal. So lets look at it up and down:

remember line up the decimal to decimal

1.628

1.630

the first digit is the same. Both of these numbers are also before the decimal.

let's look at the second digit.

1.628

1.630

they are also the same. Both of these are also right after the decimal point.

now let's look at the third digit.

1.628

1.630

In this case, the bottom number has a higher value. Since 3>2, the bottom number is the overall biggest. Or you could look at it and say "Oh! 30 is bigger than 28!" I hope this helps you, and if this wasn't what you were looking for, oops

Answer: 50

Step-by-step explanation:

From the question, we are informed that 1/3 of gym members say they spent 5 hours per week at the gym.

Assuming there are 150 people working out at the gym, the number of people that'll most likely spend 5 hours at the gym this week will be calculated by multiplying 1/3 by 150. This will be:

= 1/3 × 150

= 50 people

Answer:

Thanks!

Step-by-step explanation:

I already have it on my phone tho lol

Answer:

Q1) 12, 2, 1.5, 1

Q2) I believe its C

Step-by-step explanation:

Hope it helps!

Answer:

1st question 12, 2, 1.5, 1

2nd question C

Step-by-step explanation:

Hope I helped

Answer:

There's two answers.

-5, -4, and -3

3, 4, 5

Step-by-step explanation:

[tex]x^{2} +(x+1)^{2} +(x+2)^{2} =50\\x^{2} +x^{2} +2x+1+x^{2} +4x+4=50\\3x^{2} +6x+5=50\\3x^{2} +6x-45=0\\3(x^{2} +2x-15)=0\\(x+5)(x-3)=0\\x = -5\\x = 3\\[/tex]

Answer:

the 4th one

Step-by-step explanation:

Answer:

c=55t

Step-by-step explanation:

..

Answer:

D. -60 + (-30) = -30

Step-by-step explanation:

Put the word problem into an equation: -60 + (-30) = -30

I hope this helped, please mark Brainliest, thank you so much!!

Answer:

components: LeftAngleBracket 16, 11 RightAngleBracket distance: 194.16 yards

Step-by-step explanation:

get her done!!! Correct on Edge 2020

The vector represents the path from the house to the park is components: {16,11} and actual distance between them is 194.16 yards. So, option A is correct.

The Pythagoras theorem states that the square of the longest side must be equal to the sum of the square of the other two sides in a right-angle triangle.

|AC|^2 = |AB|^2 + |BC|^2    

In order to find the length of a point to another point that has different y and x points, we will use the pythagorean theorem

(a^2 + b^2 = c^2)

Here, 16 and 11 are the distances from her house,

16^2 + 11^2 = c^2

c^2 = 377

c = 19.416...

Now, we have to convert this to yards;

19.416 x 10 = 194.16 yards

Hence, the vector represents the path from the house to the park is components: {16,11} and actual distance between them is 194.16 yards.

So, option A is correct.

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Answer:

y= -2/5x

Step-by-step explanation:

Answer:

210

Step-by-step explanation:

Percentage Calculator

The value of the phone after 2 years will be equal to $388.8.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also represent the logical syntax's operation order and other properties.

Given that the cell phone costs $750 and loses 28% of its value each year. The value of the phone after 2 years will be,

The value of the phone after 2 years will be calculated as,

Cost of phone = 750 x ( 0.28 )²

Cost of the phone = $388.8

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Answer:

994

Step-by-step explanation:

PEMDAS

Parentheses: 8+2 = 10

Exponents: 10^3 = 1000

Subtraction = 1000-6

= 994

Answer:

B

Step-by-step explanation:

Answer:

B) SAS

Step-by-step explanation:

The side is marked equal, they are both 90 degrees and they share a side. Side Angle Side.

Answer:

6 tiles

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

I took the test ;)

Answer:

acute triangle

Step-by-step explanation:If the square of the length of the longest side of a triangle is less than the sum of the squares of the lengths of the other two sides, then the triangle is an acute triangle.

Answer:

Step-by-step explanation:

Oops I meant "there are 3! = 6 ways to permute ABTS that have TS."

There are 12 different combinations to display marvel that doesn't involve Steelie and the tiger.

A permutation is an orderly arrangement of things or numbers. Combinations are a means to choose items or numbers from a collection or set of items without worrying about the items' chronological order.

Given, Zara has a collection of 4 marbles: an Aggie, a Bumblebee, a Steelie, and a Tiger. She wants to display them in a row on a shelf but does not want to put the Steelie and the Tiger next to one another.

We want the number of ways to permute the string ABST that has S and T separated.

Total ways of displaying marbles = 4! = 24

If S and T are together, then the permutation contains the consecutive pair ST or TS somewhere. We can count these possibilities by regarding ST or TS as a single symbol

permutation of getting them together = 2 * 3!

permutation of getting them together = 12

Thus,

total desired combination = Steelie and tiger do not come together

total desired combination = 24 - 12 = 12

therefore, There are 12 possible combinations of displaying marvel without making Steelie and tiger together.

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Answer:

.325

Step-by-step explanation:

Answer:

0.325 is a decimal

Step-by-step explanation:

Answer:

-2 and 2

Step-by-step explanation:

When you look at the graph, you see that the line is in a U shape. We are trying to see what the value of g(x)=4. Since g is represented by the graph, the equation equals 4. The 4 in the equation is positive so you would look at the graph for a positive 4. There are 2 positive 4's on the graph; one on the x axis and one on the y axis. If you look at the U-shaped line, you see that it passes the 4 on the y axis. (the point -2,4 has the 4 as y and the point 2,4 has 4 as y). This makes the answer -2 and 2 because both the numbers have 4 as the y when you put them as points.

Answer:

282

Step-by-step explanation:

47*6=282

Forty seven six times.

Answer:20

Step-by-step explanation:

4(3)2-2(2)

12(2)-4

24-4=20