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konstantin123 [22]
3 years ago
5

Which of the following statements are true? Select all that apply

Mathematics
2 answers:
kykrilka [37]3 years ago
6 0
A & D are true statements
torisob [31]3 years ago
6 0
A/d are both true statements
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The vertices of ΔABC are A(−3,4)​, B(−2,4)​, and C(−5,2). If ΔABC is reflected across the line y=−2 to produce the image Δ​A'B'C
Mumz [18]

The coordinates of vertex B' is P'(x,y) = (-2, -8).

<h3>How to calculate the coordinate of point by reflection</h3>

A point if reflected across the line y = -2 by means of the following formula:

P'(x,y) = P(x,y)+2\cdot [(x_{P}, -2)-P(x,y)] (1)

Where:

  • P(x,y) - Original point
  • x_{P} - x-Coordinate of point P
  • P'(x,y) - Resulting point

If we know that P(x,y) = (-2,4) and x_{P} = -2, then the coordinates of the vertex is:

P'(x,y) = (-2, 4) + 2\cdot [(-2,-2)-(-2,4)]

P'(x,y) = (-2, 4) +2\cdot (0, -6)

P'(x,y) = (-2, 4) + (0,-12)

P'(x,y) = (-2, -8)

The coordinates of vertex B' is P'(x,y) = (-2, -8). \blacksquare

To learn more on reflections, we kindly invite to check this verified question: brainly.com/question/1878272

3 0
2 years ago
You flip 3 coins. Is the probability of obtaining 2 heads and 1 tail in any order the same as the probability of obtaining a hea
konstantin123 [22]

Answer:

the probability of obtaining 2 heads and 1 tail in any order is higher than the probability of obtaining a head, than a head then a tail

Step-by-step explanation:

since the probability (p) of obtaining 2 head and 1 tail in any order is

P1 = p of obtaining ( H , H ,T) + p of obtaining ( H , T ,H ) + p of obtaining ( T , H ,H ) = 3*p of obtaining ( H , T ,H)

assuming a fair coin then p heads = p tails = 0.5

thus since each flip is independent from the others

p( H , H ,T)=p( H , T ,H )= p( T , H ,H )= P=0.5*0.5*0.5= 1/8

thus P1 =3*1/8=3/8

while the probability of obtaining a head, than a head then a tail is

P2= p of obtaining ( H , T ,H)= 1/8

then P1=3/8 >P2=1(8

therefore the probability of obtaining 2 heads and 1 tail in any order is higher than the probability of obtaining a head, than a head then a tail

6 0
3 years ago
Write a third degree polynomial function that has real zeros -1, -2 and 4
ra1l [238]

Answer:

f(x) = x^{3}  - x^{2}  -  10x  -8

Step-by-step explanation:

All you have to do is multiply (x + 1)(x + 2)(x - 4)

You should get x^{3}  - x^{2}  -  10x  -8

So,  f(x) = x^{3}  - x^{2}  -  10x  -8

8 0
3 years ago
A washer and a dryer cost $770 combined. The washer costs $70 more than the dryer. What is the cost of the dryer?
vazorg [7]
Let w = washer and d = dryer:

w + d = $770,
but w = d + 70, replace w with d+70
(d+70) + d = 770
2d + 70 =770
2d = 770 -70 = 700
and d=$350, then w=350+70 = 420
8 0
3 years ago
Which expression is equivalent to 6(14)? A. 6(10 + 4) B. 6(10 + 14) C. 6(1 + 40) D. 6(10 + 40)
makvit [3.9K]
A 6(10+4) is correct
5 0
3 years ago
Read 2 more answers
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