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iVinArrow [24]
3 years ago
15

Solve for x in the equation x^2+20x+100=36

Mathematics
1 answer:
Ierofanga [76]3 years ago
6 0
Factoring - I always found this to be easy (one of the few things in math that I felt was easy!)

x^2 + 20x + 100 = 36

First step is to get the right side to zero. Do this by subtracting 36.

x^2 + 20x + 64 = 0

Now we have to factor the expression. We could use quadratic formula, completing the square, or use the product/sum rule if possible (which it is).

64's factors are:
1, 64
2, 32
4, 16
8, 8

We need the two factors that sum to 20...

(x + 4)(x + 16) = 0
Set each factor to zero
x + 4 = 0 and x + 16 = 0

Solve each equation
x = -4 and x = -16

You should always check for extraneous solutions. I recommend using desmos.com to check answers! 

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U varies directly with the square of p and inversely with d
kumpel [21]

Answer:

Step-by-step explanation:

4 0
3 years ago
What are the next three terms in the sequence 4, -1, -6, -11, ...?
Fynjy0 [20]

Answer:

In summary, "the next three terms" are {-16, -21, -26}

Step-by-step explanation:

Note that the common difference separating the terms of 4, -1, -6, -11, ... is -5.  Each new term is found by combining the previous term with -5.

Thus, the applicable formula is a(n) = 4-5(n-1).

We should test this.  Take the term -6 and determine whether or not this formula correctly predicts the next term:  -11:

a(4) = 4-5(4-1) = 4 - 5(3) = 4 - 15 = -11 (yes).

We have the first four terms and need the 5th, 6th and 7th terms.

The fifth term, a(5), is 4-5(5-1) = 4-20 = -16

The sixth term is a(6) = 4-5(6-1) = -21

The seventh term is a(7) = 4 -5(6) = -26

In summary, "the next three terms" are {-16, -21, -26}

8 0
3 years ago
Please help i dont get this at all so please i will highly appreciate it .Thank youuu!!!
Luden [163]

Answer:

bro its d!!!!!

Step-by-step explanation:

3 0
1 year ago
Qual é a diferença entre a população de Toledo e Umuarama?
Inessa05 [86]
E preciso subtrair.

      119207
  -   100716
----------------
        18491
3 0
3 years ago
The top of a round table with a diameter of 5.5 feet is painted white. how many square feet are painted
Firlakuza [10]
The formula for area of a circle is:
A=(pi)r^2
If diameter is 5.5, divide by 2 to find radius is 2.75. 2.75^2 is 7.5625 then multiplied by 3.14 (pi) is 23.746.
Depending on how you round, about 23.7 square feet were painted.
5 0
2 years ago
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