Two consecutive integers have a product of 12. What is the initial equation that would be used
to solve this?
x² = 12
x(x + 1) = 12
2 (2+2) = 12
x(x − 2) = 12

The perfect square trinomial is x^2 + 45/4.

To complete the expression as a perfect square trinomial, we need to add a term to the given expression, x^2 + 5, in such a way that it becomes a perfect square.

A perfect square trinomial can be written in the form (a + b)^2, where a and b are real numbers.

In this case, we can observe that the coefficient of x^2 is already 1, so the value of a will be 1.

To find the value of b, we take half of the coefficient of x, which is (5/2), and square it: (5/2)^2 = 25/4.

Now, we can add this term to the given expression:

x^2 + 5 + 25/4

Combining the terms, we get:

x^2 + 25/4 + 20/4

Simplifying further:

x^2 + 45/4

For the perfect square binomial, we can write the expression using the exponent notation as follows:

(x + (sqrt(45/4)))^2

Note that sqrt denotes the square root.

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Answer:

y = -1/2x - 5

Step-by-step explanation:

To solve this (and questions like it), use the formula for the equation of a line:

y=mx+c, where y and x are any given co-ordinates, m is the slope, and c is the y-intercept.

Since we know that the slope is -1/2, we can plug this into our equation to replace m:

y=mx+c

y=-1/2x+c

To find c, we plug in our co-ordinate (4,-7), so that c is the only unknown, and we can solve for it:

y=-1/2x+c

-7=-1/2(4)+c

-7=-2+c

c=-5

Now that we know c, we can finish off our equation:

y = -1/2x + c

y = -1/2x - 5

Answer:

1.39 ; 2.02 ; 2.90

Step-by-step explanation:

From the F - distribution calculator

F0.25, 8, 2 ;

u = 8 ; v = 25 ; cumulative probability = 1 - 0.25 = 0.75

F value = 1.39

F0.10,12,15 :

u = 12 ; v = 15 ; cumulative probability = 1 - 0.10 = 0.90

F value = 2.02

F0.01,12,6

u = 12 ; v = 6 ; cumulative probability = 1 - 0.01 = 0.90

F value = 2.90

Answer:

-20

Step-by-step explanation:

Complete the square to find the vertex of this parablola x^2-8x-y-4=0   {the second one of -20; so 4,-20}

Step-by-step explanation:

The answer would be (4,-20)

Fill in 4 and -20

Answer:

294 cm^2

Step-by-step explanation:

This question is asking for the surface area of all 6 sides of the Shoe box. Hence we will have to multiply all the dimensions with each other twice to get the surface area of all the sides.

9x10x2=180

9x3x2=54

10x3x2=60

Adding them together we get 294 cm^2.

Answer:what we observe is that the square of the number follows a pattern: 2 1's gives 121. 3 1's gives 12321. so to get 12345678987654321 we need to get square of 9 1's(111,111,111).

Answer:

Yes, all of your answers are 100% correct

Step-by-step explanation:

You correctly set the values equal to the numerator or denominator (minutes = minutes) and any value will equal the same value.

<4=22°

Answer:

<4+158=180 co interior angle

<4=180-158=22°

Answer:

solution given:

<4+<158°=180°[co- interior angle]

<4=180°-<158°=22°

<4=22° is your answer

Answer:

14 square units

Step-by-step explanation:

Equation:

Area of a triangle = h*b/2

Variables:

h = 4 units

b = 7 units

Solve:

h*b/2

= 4 units * 7 units /2

= 14 square units

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Answer: 8.20 miles I believe

Answer:

Answer is 3.2

Step-by-step explanation: you can take any percent and divide it by 100. So in this example you would divide 320/100 and it will give you 3.2

Answer:

60 numbers

Step-by-step explanation:

3 4 5 6 7

for everything starting with 3

345

346

347

354

356

357

364

365

367

376

375

374

we know the results will be the same

there was 12 numbers in that sequence

theres 4 other numbers it could start with

12 + (12x4) = 12x5

60

Answer:

I can't see clearly

Step-by-step explanation:

Answer:

− √ ( 9 + y ) 2 > 1

Explanation:

− √ ( 9 + y ) 2 , where  y < − 10

Simplify the expression,

− √ ( 9 + y ) 2 = − ( 9 + y ) = − 9 − y

When  y < − 10 , − y > 10

Subtract  9  from both sides,

− 9 − y > 1  Hence,

− √ ( 9 + y ) 2 > 1

The value of the expression -√(9 + y)² is -9 which is more than -10. So, it is incorrect.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The expression is given below.

⇒ -√(9 + y)²

Simplify the expression, then we have

-√(9 + y)² = 0

(9 + y) = 0

9 + y = 0

y = - 9

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Firstly, It says that the two triangles are similar .              

The scale factor is 2 as 12 / 6 = 2

25 + 85 = 110

180 - 110 = 70.

70 degrees

Answer:

A: 70

Step-by-step explanation:

Step One: This problem is tricky because it makes it seem more difficult than it really is. Because these angles are similar through the SAS theorem, their angles are the same. Similar means they are proportional triangles, but for this problem, the most important thing to know is that the angles of both triangles are the same. This means we can use the angles from the first triangle exactly the same way for the second triangle.

Step Two: Now that we have that out of the way, we also need to know that all angles in a triangle add up to 180 degrees.

Step Three: Ok, so we have all the information we need, so now we can solve the problem. As I've said, the angles from the first triangle are the same for the angles in the second triangle. So, we would do 85+ 25= 110.

Step Four: Lastly, we would do 180 (since all angles add up to 180)-110 to figure out the missing angle: 180-110=70 degrees.

Answer:

7

Step-by-step explanation:

126 g is what you originally had which=60% of whats left

you have to find out how many 10 wedges she can cut from the cheese that is left over

Work Shown:to find how much is left you have to multiply 126 by 60% remember when you multiply you have to move the decimal, and decimal is moved twice, so the answer would be 75.60 after you were done solving it and the number that is closest would be 70 so you would multiply 10 by 7=70 and the reason you pick that is because it is closer to 75.60.

So 7 is the answer.

Answer:

45000

Step-by-step explanation:

put the equation like this

     1000

   x      45

And multiple form right to left or just take 45 and add 3 0's because anything multiplied by 1 is what number u multiplied it by

Answer:45000

Step-by-step explanation:

so you know that 10x45=450 just add 2 more zeros and thats ur answer may i be marked brainliest

Answer: 150

Step-by-step explanation:

A fixed cost is referred to as a cost that does not change with the output level that is, it doesn't change when there is a rose or reduction in the amount of goods or services that are produced.

Since the total cost function is given as

TC=3Q³ - 5Q² + 4Q + 150, we can infer that from the equation the fixed cost is 150 while the variable cost is 3Q³ - 5Q² + 4Q

Its b In normal form of a straight line, the equation is given by where p is the perpendicular distance of the line from the origin and  is the angle between the perpendicular line and the positive direction of the x-axis.

Answer:

0

Step-by-step explanation:

am not sure, , have not studied

Answer:

Step-by-step explanation:

Center is 6, -2

Radius is 7

(x-6)^2 + (y + 4)^2 = 7^2

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Answer:

n = 15

Step-by-step explanation:

106 = 1 + 7n

1-        1-

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

105 = 7n

÷7       ÷7

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

15 = n

your goal is to get the variable by itself

Step-by-step explanation:

width = x

length= 3x

Area = length * width

243=3x * x

3÷243 =3x^2÷3

√81=√x^2

x=9

3x=3*9=27

Width=9

Length=27

Answer:

x=15

Angle (5x+6): 81

Angle (8x-39): 81

Step-by-step explanation:

5x+6=8x-39

add 39 to both sides

5x+45=8x

-5x on both sides

45=3x

divide both sides by 3

x=15