What is the first step in solving an equation by completing the square?

Answers

Answer 1
Write the quadratic in the correct form, it must be in descending order and equal to zero.

Related Questions

What is the smallest number greater than 100 that is :
a)divisible by two ?
b)divisible by ten?
c)divisible by four ?

Answers

I'd start by listing out the multiplies of all three past 100, like this:
102, 104, 106, 108, 110, 112, 114, 116, 118, 120, 122, 124, 126, 128, 130
104, 108, 112, 116, 120, 124, 128, 132, 136
110, 120, 130, 140
Now it's just a matter of finding the number that is the same for all three of them, which is 120.

The smallest number greater than 100 divisible by 2 is 102, divisible by ten is 110, divisible by four is 104.

What is Divisibility Test?

It is an easy method of determining the divisibility of a number by a particular divisor, by just observing the number and not actually dividing it.

The number is 100

A smallest number greater than 100 has to be found which is divisible by 2.

All even numbers are divisible by 2, a number which has 0, 2, 4, 6, 8 at its ones position are divisible by 2.

The smallest number from 100 which is divisible by 2 is 102.

A smallest number greater than 100 has to be found which is divisible by 10.

A number is divisible by 10, if it has 0 at its ones position.

The number after 100 which has 0 at its ones position is 110.

A smallest number greater than 100 has to be found which is divisible by 4.

If last two digit of a number forms 00 or are divisible by 4, then the number is divisible by 4.

The smallest number from 100 which is divisible by 4 is 104.

To know more about Divisibility Rule

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If you know that two triangles are congruent, you know that any unmarked corresponding parts are also congruent by

Answers

The SSS, SAS, ASA, AAS, and HL theorems. These theorems state that if any of those combinations of angles or sides are congruent, the triangles are congruent. That means that you can apply it in reverse, because if two triangles are congruent then SSS, SAS, ASA, AAS, and HL (if a right triangle) are also all congruent.

identify the like terms 3x,4y,4z,5x

Answers

the like terms are 5x and 3x because they both are apart of the x family !

what is the value for x (5x+15) (3x-3)

Answers

Final answer:

The value of x in the expression (5x+15) (3x-3) is 15x^2 + 30x - 45.

Explanation:

The expression (5x+15) (3x-3) represents the multiplication of two binomials. To find the value of x, we can use the distributive property to simplify the expression:

Multiply the terms within the first set of parentheses: 5x * 3x = 15x^2.Multiply the terms within the second set of parentheses: 5x * -3 = -15x.Multiply the terms between the parentheses: 15 * 3x = 45x.Multiply the constant terms within the parentheses: 15 * -3 = -45.

Putting it all together, we have 15x^2 - 15x + 45x - 45. Combining like terms, the expression simplifies to 15x^2 + 30x - 45.

So, the value for x in the given expression is 15x^2 + 30x - 45.

Does believing in god increases the probability that god does exist

Answers

No.

If he exists then he does. More or less people "believing" doesn't change a fact.

It's like how we can't see all colors and other creatures can see "more" colors than us; and then having us claim they don't exist. Whether we decide to believe there's more colors we can't see or not will not change the fact of whether there IS or ISNT.

KInda if you love him then he loves personally i dont believe in him but thats everyone decision

What is the slope of a line that is perpendicular to the line that goes through (5,4) and (-2,-3)?

Answers

First, let us solve for the slope of the line which it intersects with:

m’ = (y2 – y1) / (x2 – x1)

m’ = (-3 – 4) / (-2 – 5)

m’ = 1

 

The slope of the perpendicular line is the negative reciprocal, therefore:

m = - 1 / m’

m = - 1 / 1

m = -1

 

So the slope of the line is -1.

¿A Sandra qué le gusta hacer los viernes?

A A Sandra le gusta comer papas fritas los viernes.

B A Sandra le gusta comer agua los viernes.

C A Sandra le gusta beber pizza los viernes.

D A Sandra le gusta beber galletas los viernes.

Answers

I think the answer is A it makes the most sense. 
A states that "Sandra likes to eat fries on fridays."

B states that Sandra likes to eat water on fridays? (makes no sense)
C states that Sandra likes to drink pizza on fridays? (again makes no sense)
D states that Sandra likes to drink cookies on fridays? (NO SENSE)
Best answer choice is A.
La respuesta correcta es A: A Sandra le gusta comer papas fritas los viernes. Es el unico respuesta que es lógico. La traducción para la frase es: Sandra likes to eat french fries on Friday. 

Triangle A′B′C′ is the image of triangle ABC after a dilation. What is the scale factor of the dilation?

Answers

Unfortunately, I can't really explain it that well, but AB is 6, and A'B' is 2.
6 / 3 = 2
BC is 3, and B'C' is 1.
3 / 3 = 1
Therefore the dilation factor would be 1/3.

Hope this helps! :)

I brought 1 1/4 lbs of grapes. 2 1/2 lbs of cherries and 2lbs of bananas. How much total pounds of fruit did i buy?

Answers

First, add the whole numbers together:
1 + 2 + 2 = 5
Now, add the fractions together:
1/4 = 2/8
1/2 = 4/8
2/8 + 4/8 = 6/8 or 3/4
Add your two amounts together to get:
5 3/4 lbs of fruit

Hope this helps!! :)
1 + 2 + 2 = 5

1/4 + 1/2

1/4 + 2/4 = 3/4

The answer will be 5 3/4

Hope I helped

Let n be a nonzero integer. find a domain on which f (x) = (1 − xn)1/n coincides with its inverse. hint: the answer depends on whether n is even or odd.

Answers

I believe that the correct equation given is:

f(x) = (1-x^n)^(1/n)

 

From this, we can say that:

 

When n is an odd number then f(x) is cubic root function. The domain is (-infinite, +finite) 
When n is an even number then f(x) is sqrt root function. The domain is (0, +finite) 

A sealed rectangular box measuring 8 x 6 x 18 contains 864 sugar cubes, each measuring 1 x 1 x 1. How many sugar cubes are touching the box?

Answers

Final answer:

A total of 456 sugar cubes touching the box.

Explanation:

To calculate the number of sugar cubes touching the box, we must consider the cubes that lie along each face of the box without double-counting the cubes that touch corners and edges.

The box dimensions are 8 x 6 x 18 inches, and each sugar cube is 1 x 1 x 1 inch.

For the top and bottom faces (6 x 18), we have

6*18 = 108 sugar cubes touching the box on each face, totaling 216 for both the top and bottom.

For the front and back faces (8 x 18), since we must exclude the top and bottom rows, we have

(8-2) x (18-2) = 6 x 16 = 96 sugar cubes for one face and 192 for both.

For the sides (8 x 6), excluding the top and bottom rows again, we have

(8-2) x (6-2) = 6 x 4 = 24 sugar cubes on one side and 48 in total for the two sides.

Adding all these together, we get 216 (top and bottom) + 192 (front and back) + 48 (sides) = 456 sugar cubes touching the box.

Remember, this method assumes a single layer of sugar cubes is in direct contact with the inside surface of the box.

2x7+2 ?
What does x =

Answers

The x is the variable so you have to find what the equation equals in order too find out what variable x is.  2 x7+2 = 16. So now x = 16

The equations y = -0.38x + 56.6 and y = 0.38x + 43.4 represent the percent of men and women, respectively, receiving bachelor's degrees, where x is the number of years since 1968. in approximately what year did the same percent of men and women receive bachelor's degrees?

Answers

Begin by using simultaneous equations to find the values of x and y. 

y=-0.38x+56.6
y=0.38x+43.4 

-0.38x+56.6=0.38x+43.4 
-0.38x-0.38x=-56.6+43.4 
-0.76x=-13.3 
x=-13.3/-0.76 
x=17.5 

y=0.38(17.5)+56.6
y=63.25 

Knowing that the initial year was 1968, add 17.5 years to find to find out when the same percent of men and women received a bachelor's degree. 

1968+17.5= 1985.5 

So, in the year 1985 and half, both men and women got the same number of bachelor's degrees. 

Hope I helped :) 

What is the expanded equivalent of cos(a – b)?

Answers

cos A cos B - sin A sin B
That should be your answer  Hope this helps

The expanded equivalent of cos(a – b) is  cos(a)cos(b)+sin(a)sin(b).

Given that,

The equation is cos(a - b).We need to find the expanded equivalent of the above equation.

Based on the above information, the calculation is as follows:

= cos (a - b)

=  cos(a)cos(b)+sin(a)sin(b)

Therefore we can conclude that the expanded equivalent of cos(a – b) is  cos(a)cos(b)+sin(a)sin(b).

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Solve for x.

7(x - 3) = 4(x + 5)

Answers

7(x-3) = 4(x+5)

distribute:

7x-21 = 4x+20

add 21 to both sides

7x = 4x +41

subtract 4x from both sides

3x = 41

divide both sides by 3

x = 41 /3 = 13.67 ( repeating 6's) so it can be 13 2/3 as a fraction

the answer is 13 2/3



Solve x + 9 = 18 - 2x

Answers

Add 2x to both sides,
3x+9=18
Subtract 9 from both sides. 3x=9
Divide both sides by 3. 
x=3

The solution to the equation x + 9 = 18 - 2x is x = 3.

What is the solution to the equation?

Given the equation in the question:

x + 9 = 18 - 2x

To solve the equation x + 9 = 18 - 2x, first, collect and combine the x terms on one side of the equation and the constant terms on the other side:

x + 9 = 18 - 2x

Add 2x to both sides of the equation:

x + 2x + 9 = 18 - 2x + 2x

x + 2x + 9 = 18

3x + 9 = 18

Subtract 9 from both sides of the equation:

3x + 9 - 9 = 18 - 9

3x = 18 - 9

3x = 9

Isolate x by dividing both sides by 3:

x = 9/3

x = 3

Therefore, the value of x is 3.

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What is the solution to the system of equations below? 2x - 5y = 11 and -2x + 3y = -9

Answers

x=3
y=-1

2(3)-5(-1)=11
6+5=11

-2(3)+3(-1)=-9
-6-3=-9

Find x if et = 3x+2 and em = 5x

Answers

Answer:

x = 6

Step-by-step explanation:

The centroid (T) always splits the lines so one side is 2/3 and the second is 1/3 of the entire median line. This can also be written as 2x + x. That being said, ET isn't equal to EM, it's only equal to 2/3 of EM so that's what you have to write.

3x + 2 = 2/3 * 5x

3x + 2 = 10/3 x

*3 (3x+2) = *3(10/3x)

9x+6 = 10x

-9x      -9x

x = 6

The value of x is 6.

Triangles

The polygon has three sides. the sum of all the internal angles is 180 degrees.

Given

ET = 3x+2

EM = 5x

To find

The value of x.

How to find the value of x?

We know that the centroid of triangles divides it into 2:3.

Then

[tex]\begin{aligned} \dfrac{ET}{EM} &= \dfrac{2}{3} \\\\ \dfrac{3x+2}{5x} &= \dfrac{2}{3} \\\\ 3x+2 &= \dfrac{2}{3} * 5x \\\\ 3x+2 &= \dfrac{10x}{3} \\\\ 3x - \dfrac{10x}{3} &=-2\\\\ \dfrac{-x}{3} &= -2 \\\\ x &= 6\end{aligned}[/tex]

Hence the value of x is 6.

Thus the value of x is 6.

More about the triangle link is given below.

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Which equation best represents the line graphed above?

Answers

x=2 because for any y value the x value is always 2
the answer is y=2. i hope it helps

What is the numerator of the fraction equivalent to 25/135 that has a denominator of27

Answers

It's 5 because 5/27 is equal to 25/135

Measurement is ___________ when it yields the same values across repeated measurement of the same event.

Answers

The answer is reliable. A measure is assumed to have a high reliability if it yields parallel results under steady conditions. It is the characteristic of a set of test scores that relates to the quantity of accidental or random error from the measurement procedure that might be rooted in the scores. Marks that are highly reliable are precise, reproducible, and constant from one testing time to another. To be exact, if the testing method were to be repeated with a different group of test takers, fundamentally the same results would be gotten. 

what is the answer for 5kx+6=7kx solve for x

Answers

7kx-5kx=6
2kx=6
x=3/k
All the best
Let's solve for x.5kx+6=7kx
Step 1: Add -7kx to both sides.5kx+6+−7kx=7kx+−7kx−2kx+6=0
Step 2: Add -6 to both sides.−2kx+6+−6=0+−6−2kx=−6
Step 3: Divide both sides by -2k.‌−2kx−2k‌=‌−6−2k‌x=‌3/k

To which graph does the point (8, −2) belong?

Answers

When you're given a list like that, the easiest way to find the answer is to just test the point in each one! Plug in -2 for y and 8 for x, and see which of the inequalities those values satisfy.

A rabbit lure on a greyhound racetrack is set to travel once around the track at 50 feet per second, and then its speed is increased to 65 feet per second for the second loop around the track. If the total time it takes for the lure to go around the track twice is 184 seconds, what is the distance once around the track?

Answers

184 sec = Circumference / 50 fps + Circumference / 65 fps 
184 = 65 Circumference/3250 + 50 Circumference/3250 
184 = 115 Circumflex/3250 
598000 = 115 Circumflex 
Circumflex = 5200 ft
the answer would be 5200ft

Kari is flying a kite. She releases 50 feet of string. What is the approximate difference in the height of the kite when the string makes a 25o angle with the ground and when the string makes a 45o angle with the ground? Round to the nearest tenth.

A) 14.2 feet
B) 17.1 feet
C) 47.6 feet
D) 55.2 feet

Answers

This one is going to be a

Answer:

its 14.2

Step-by-step explanation:

Terry bought 2 1/2 dozen chocolate chip cookies. She paid $15 for her purchase. If there were 12 cookies in each dozen, what was the cost per cookie?


$0.17


$0.83


$1.25


$0.50

Answers

Your answer Is $0.50 have a nice day my friend 

Antonio purchased adult and child tickets for the fair. Tickets cost $29.35 for each adult and $17.45 for each child. Let x represent the number of adult tickets purchased and y represent the number of child tickets purchased. Write an expression to represent the total cost of the tickets Antonio purchased.


$29.35y + $17.45x

$29.35x + $17.45y

($29.35 + $17.45)(x + y)

($29.35 - $17.45)(x + y)

Answers

The Correct Answer for your problem is: B

29.35x + 17.45y Is the correct selection. 

Can someone please help me with math

Answers

1 meter is 3.3 ft.....so 70 meters is (70 * 3.3) = 231 ft.....so ft per second is 231 ft per second

at 2 seconds.....231 * 2 = 462 ft

Carly is 3 times her brother's age. The sun of their age is no more than 24 years.

Answers

brothers age = x

 carly's age = 3x

3x +x <=24

4x<=24

x<=24/4 = 6

brothers age is x<=6

 

Carly is 18 and her brother is 6

in a survey respondents were asked which type of movie they watched most often. the bar graph shows how many males and how many females said they watched each type of movie most often.

how many more males said they watched action movies than drama movies

2
4
5
8

Answers

males that watched action movies : 13
males that watched drama movies : 5

so there are (13 - 5) = 8 more that watched action then drama

Answer:

Option D) 8

Step-by-step explanation:

We are given the following information in the question:

A bar graph is given that shows how many males and how many females said they watched each type of movie most often.

To find:

We have to find that how many males said that they watched action movies than drama movies .

In the bar graph:

Number of action movies watched by males = 13

Number of drama movies watched by males = 5

Number of males males said that they watched action movies than drama movies  = 13 - 5  =  8

Males watched 8 action movies more than the drama movies.

Hence, the correct option is D.

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