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Scrat [10]
4 years ago
11

Let ​

Mathematics
2 answers:
Veronika [31]4 years ago
7 0

Answer:

x² - 12x + 36 = 97

Step-by-step explanation:

Given

x² - 12x = 61

To complete the square

add (half the coefficient of the x- term)² to both sides

x² + 2(- 6)x + (- 6)² = 61 + (- 6)², so

x² - 12x + 36 = 61 + 36

x² - 12x + 36 = 97

uranmaximum [27]4 years ago
5 0

Answer:

Step-by-step explanation:

Add the square of half the x-coefficient to both sides.

 x² -12x +(-6)² = 61 +(-6)²

<h2>  x² -12x +36 = 97</h2><h2 />
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The sum of two numbers is 2. The sum of three times the larger and twice the smaller is 14. Find the numbers.
anzhelika [568]

For this case we have to:

x: Be the variable that represents the largest number

y: Be the variable that represents the smallest number

We propose a system of equations:

x + y = 2\\3x + 2y = 14

From the first equation we have to:

x = 2-y

Substituting in the second equation:

3 (2-y) + 2y = 14\\6-3y + 2y = 14\\6-y = 14\\-y = 14-6\\-y = 8\\y = -8

We look for the value of "x":

x = 2 - (- 8)\\x = 2 + 8\\x = 10

Answer:x = 10\\y = -8

8 0
3 years ago
My homework says name a 2 digit odd number that is prime. name a 2 digit odd number that is composite.
lidiya [134]
2 digit meaning that it has 2 numbers. For example, 66 is a two digit number.
Now, they also said it must be prime, meaning that its factors can only be 1 and itself. 
Also, it must be odd. 

Answer:  67

Now, do the same, except the number must be composite, as meaning that it has other factors. 

Answer:   21
5 0
4 years ago
Read 2 more answers
What is the volume of the cone to the nearest cubic millimeter? (Use ​π = 3.14)
rjkz [21]

Answer:

given:

height[h]=8mm

radius [r]=5mm

Now,

Volume of cone=1/3 πr²h=⅓×3.14×5²×8=209mm³

<u>C) 209 </u><u>mm³</u><u> </u><u>is</u><u> </u><u>a</u><u> </u><u>required</u><u> </u><u>answer</u><u>.</u>

3 0
3 years ago
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In the xy plane, what is the y intercept of the graph of the equation y=2 (x+3)(x+4)?
olga2289 [7]
The y-intercept is the value of y when the graph intersects the y-axis.  Graphs intersect the y-axis when x=0, so we just substitute in x=0 to get:

y=2(0+3)(0+4)

y=2(3)(4)

y=24

Therefore, 24 is our answer.

Hope I helped :)
4 0
3 years ago
I need help please answer.
posledela

Answer:

9 to the power 10 or 9^10

Step-by-step explanation:

9^5×2

= 9^10

3 0
4 years ago
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