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Leona [35]
2 years ago
15

What is the missing constant term in the perfect square that starts with x^2-16x? Pretty stumped on this one. Thanks in advance!

Mathematics
2 answers:
Serjik [45]2 years ago
8 0
You'll have to find a number, in which, when factored, the factors would add up to -16

x^2 - 16x + 64  (for example)
x                -8
x                -8

(x - 8) (x - 8). If you use FOIL, you will get the trinomial again.

64 can be your answer

hope this helps
vlabodo [156]2 years ago
6 0
Perfect squares are the result of an integer being multiplied by itself.

The trinomial is given by the following formula:

ax^2 + bx + c

We are missing c from this trinomial, so we must solve for c.

An equation that we can use to solve for c in this equation is the following formula:

c = (\frac{b}{2})^2

Plug b into the equation:

b = -16
\frac{-16}{2} = -8
-8^2 = 64

c = 64

The missing constant term is 64.
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What is the value of x in the equation below? –3 – (–8) – (–2) = x
Ghella [55]

Answer:

–3 – (–8) – (–2) = x

Step-by-step explanation:

–3 – (–8) – (–2) = x

Subtracting a negative is adding a positive

-3 +8+2 =x

Starting from left to right

5 +2 =x

7 =x

3 0
2 years ago
If ray JG is an angle bisector of ∠FJH, find m∠FJH.
miss Akunina [59]

Answer:

m∠FJH=60°

Step-by-step explanation:

The complete question is

JG bisects FJH, FJG= (2x + 4)° and GJH = (3x -9)°  

What is FJH

we know that

m∠FJH=m∠FJG+m∠GJH -----> equation A

If ray JG is an angle bisector of ∠FJH

then

m∠FJG=m∠GJH -----> equation B

substitute the given values in equation B and solve for x

(2x + 4)°=(3x -9)°

3x-2x=4+9

x=13

Find the measure of angle FJH

m∠FJH=(2x + 4)°+(3x -9)°

substitute the value of x

m∠FJH=(2(13) + 4)°+(3(13) -9)°

m∠FJH=(30)°+(30)°

m∠FJH=60°

3 0
2 years ago
The quotient of 9.2 x 10 6 and 2.3 x 10 2 expressed in scientific notation is
Virty [35]
What we know:
quotient 9.2 x 10^6/ 2.3 x 10²
in quotients exponents are subtracted of they have the same base, for example 10^6 and 10² have the same base of 10

What we need to find: quotient 9.2 x 10^6/ 2.3 x 10²
9.2 x 10^6        
--------------  =    4 x 10^4    
 2.3 x 10²

Here in this problem I divided 9.2 by 2.3 and got 4, since the solution was simple and clean meaning no repeated decimals I went ahead and divided the 10^6 by 10^2 and got 10^4.


Another method would be to expand both numbers then divide and do scientific notation again.
Remember to change to normal notation you move the decimal to the right using the number of the exponent.

9.2 x 10^6= 9200000
2.3 x 10²= 230

920000/230=40000

40000= 4 x 10^4 scientific notation

Use the method that is best for you or just know you can use either method to check your work.

4 0
2 years ago
Adiya said that the first step to solving the quadratic equation x2 + 6 = 20x by completing the square was to divide 6 by 2, squ
Dahasolnce [82]

Answer: Adiya’s method is not correct. To form a perfect square trinomial, the constant must be isolated on one side of the equation. Also, the coefficient of the term with an exponent of 1 on the variable is used to find the constant in the perfect square trinomial. Adiya should first get the 20x term on the same side of the equation as x2. Then she would divide 20 by 2, square it, and add 100 to both sides.

7 0
2 years ago
Betty's bite-size candies are packaged in bags. The number of candies per bag is normally distributed, with a mean of 50 candies
Gala2k [10]
47 = 50 - 3   or:
47 = Mean - 1 Standard deviation
For normal distribution it means that 4 bags represent 16 % of all samples.
4 bags  ------ 16%
x bags  ------ 100 %
---------------------------
4 * 100 = x * 16
16 x = 400
x = 400 : 16
x = 25
Answer: 25 bags were probably taken as samples.
5 0
2 years ago
Read 2 more answers
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