1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Goshia [24]
2 years ago
6

Rewrite x^2+12x+42 in the form (x+b)^2 +c

Mathematics
1 answer:
Rzqust [24]2 years ago
6 0
This is completing the square:

(x^2+12x+36)+42-36

Answer: (x+6)^2 +6
You might be interested in
How do you find the area of this triangle?
lara [203]
To find the area of the triangle, use the area of a triangle formula: Area= 1/2(base)(height). In this image, the base of the triangle is 5.9. The height is 6.8. To find this, you multiply 1/2*6.8*5.9 which will give you answer: 20.06
5 0
2 years ago
How can I simplify 1/2 + 2/3. Do I add,then divide.
IRISSAK [1]
You can converte them to a common denominator like 6. 1/2 would be 3/6. 2/3 would be 4/6.
6 0
3 years ago
Read 2 more answers
Use the product, quotient, and power rules of logarithms to rewrite the expression as a single logarithm. Assume that all variab
Viefleur [7K]

Answer:

log(x^7·y^2)

Step-by-step explanation:

The applicable rules are ...

... log(a^b) = b·log(a)

... log(ab) = log(a) +log(b)

_____

The first term, 7log(x) can be rewritten as log(x^7). Note that an exponentiation operator is needed when this is written as text.

The second term 2log(y) can be rewritten as log(y^2). These two rewrites make use of the first rule above.

Now, you have the sum ...

... log(x^7) +log(y^2)

The second rule tells you this can be rewritten as ...

... log(x^7·y^2) . . . . . seems to match the intent of the 3rd selection

5 0
3 years ago
(a) Use the fundamental theorem of algebra to determine the number of roots for 2x^2 + 4x + 7
zysi [14]

Answer:

Step-by-step explanation:

A 2nd order polynomial such as this one will have 2 roots; a 3rd order polynomial 3 roots, and so on.

The quadratic formula is one of the faster ways (in this situation, at least) in which to find the roots.  From 2x^2 + 4x + 7 we get a = 2, b = 4 and c = 7.

Then the discriminant is b^2 - 4ac, or, here, 4^2 - 4(2)(7), or -40.  Because the discriminant is negative, we know that the roots will be complex and unequal.

Using the quadratic formula:

       -4 ±√[-40]         -4 ± 2i√10

x  = ------------------ = ------------------

                4                       4

                                       -2 ± i√10

Thus, the roots are x = ------------------

                                               2

4 0
3 years ago
Which ordered pair is a solution of the equation? 2x+4y=6x-y OPTION A: Only (4,5) OPTION B: Only (5,4) OPTION C Both A and B OPT
sammy [17]

Answer:

option b

Step-by-step explanation:

replace x and y with the x and y of the ordered pair

option a: 2(4)+4(5)=6(4)-5

solve

8+20=24-5

28=19  not true

option b:2(5)+4(4)=6(5)-4

solve

10+16=30-4

26=26  true

6 0
3 years ago
Other questions:
  • How can I solve this?
    15·1 answer
  • The distance between Lakeview and Sun Valley s 89 km. About how far is this in miles
    13·1 answer
  • Find the zeros of the function. Write the smaller solution first, and the larger solution second. f(x)=(x+8)^2−1
    14·1 answer
  • Which number is bigger? 419.10 or 419.099? please help me I do NOT want homework!
    9·2 answers
  • a principal of 3400 is invested at 6.5% interest, compounded annually. how many years will it take to accumulate 8000$ or more i
    15·1 answer
  • Look at the illustration of four letters from the American Manual Alphabet. Decide whether the description of the letter is a go
    5·1 answer
  • What number is a common multiple of 5 and 9?
    5·2 answers
  • Over what interval is the function nonlinear?
    15·1 answer
  • Find the TOTAL balance of an account that has $800 and earns 4.25% simple interest for 6 years.
    8·1 answer
  • In the figure shown, r || s. If the measure of ∠ 2 = 146°, what is the measure of ∠ 7
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!