HOTS... Just solve this questions
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Answer 1
Answer:

Answer:

Step-by-step explanation:

8.  B is the midpoint of AD

A (x,y)

D( -1,3)      B (  (x-1)/2, (y+3)/2)  and B ( 1,1)

then (x-1)/2=1, x-1=2   ( +1)  ,  x= 2+1,  x=3

        (y+3)/2=1, y+3=2 ( -3)     y=2-3,  y= -1

then A (3, -1)

9. (-8,3)

    (s,3)      the midpoint  (0,u)

then    (s-8)/2=0,   s=8

           (3+3)/2=u,   u=6/2,   u= 3

10.  a=1   ( the y coordinate is  the same as the midpoint

  A(3,1)

   B(x,y)    the midpoint (5,1)

   (3+x)/2=5,   3+x=10 ,   x=10-3,  x=7

    (y+1)/2=1,  y+1=2,y=2-1,     y=1

B(7,1)


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Use the order of operations to evaluate the expression below. 9 + 16 x (6 - 5) x (7 + 9) - 8

Answers

9+16x(6-5)x(7+9)-8
  9+16x1x16-8
      9+256-8
        265-8
         257

Answer:2

Step-by-step explanation:

i got it wrong

9x-6y=-20 through (0,-4)

Answers

To make the equation go through (0,-4) the new equation would be 9x + 5y = 20. We needed to change it from subtracting to adding so the direction of the line would go from going down to up too up to down. In slope-intercept form the original equation would be found by the following.

9x - 6y = 20

-6y = 20 - 9x

y = -20/6 - (-9/6x)

y = 9/6x - 20/6

y = 3/2x - 10/3

To make the perpendicular line, take the slope and apply the opposite and reciprocal.

y = -2/3x - 10/3

Best of Luck!

Betty's bite-size candies are packaged in bags. The number of candies per bag is normally distributed, with a mean of 50 candies and a standard deviation of 3. At a quality control checkpoint, a sample of bags is checked, and 4 bags contain fewer than 47 candies. How many bags were probably taken as samples?

Answers

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.

The number of bags that are probably taken as samples is = 25 bags.

What is normal distribution?

A normal distribution usually appears like a bell shape in a graph whereby the mean is centrally placed.

In the normal distribution of candies per bag;

The standard deviation =3

The mean = 50

Therefore candies per bag = 47 - 53

Using the empirical method, the percentage to the right of the line of normal distribution can be calculated as:

50 + 64/2 = 84%.

That means that 100 - 84 = 16% of the data is below 4.

If 16% = 4

100% =X

Make X the subject of formula,

X = 100× 4/16

X = 400/16

X= 25 bags.

Therefore, the number of bags that are probably taken as samples is = 25 bags.

Learn more about normal distribution here:

brainly.com/question/4079902

#SPJ5

Solve
Sin(2theta)=1/2

Answers

     Just change the fraction into an equivalent in the sine function.

sin(2\theta)= (1)/(2) \n sin(2\theta)=sin( ( \pi )/(6)+2k \pi ) \n 2\theta=( \pi )/(6)+2k \pi \n \theta=( \pi )/(12)+k \pi  \n  \n sin(2\theta)= (1)/(2) \n sin(2\theta)=sin( ( 15\pi)/(18)+2k \pi  ) \n 2\theta=( 15\pi )/(18) +2k \pi \n \theta=( 15\pi )/(36)+k \pi
 
     Therefore:

\boxed {S=(\theta \epsilon R | \theta=( \pi )/(12)+k \pi ~or~ \theta=( 15\pi )/(36)+k \pi, k \epsilon Z)}

If you notice any mistake in my english, please let me know, because i am not native.
sin(2theta)=1/2

sin(x)=α
x=(-1)^k arcsin α+πk

2theta=(-1)^k  arcsin 1/2 + πk        k∈Z
arcsin 1/2= π/6
2theta=(-1)^k  π/6 + πk        k∈Z
theta=(-1)^k  π/12 + πk/2        k∈Z


9. Identify the number of solutions to 3x + 21 = 3(x+ 7).

Answers

Answer: I think the answer is 10 thats atleast what I got

Step-by-step explanation:

What is a pair of complex numbers called?

Answers

Answer:Complex numbers in the coordinate plane. Each complex number x + yi corresponds to a number pair (x, y) in the plane, so we may say that the complex numbers form a two-dimensional collection. The two coordinates of the pair (x, y) are called the real part and the imaginary part of the complex number.

Step-by-step explanation:

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