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melamori03 [73]
2 years ago
9

Consider statement: If a quadrilateral is a rectangle then it is a parallelogram. Wright the inverse and contrapositive of the o

riginal statement. Are they true? Explain.
Mathematics
1 answer:
RideAnS [48]2 years ago
5 0
Inverse- If a quadrilateral is not a rectangle, then it is not a parallelogram. 

Contrapositive- If a quadrilateral is not a parallelogram, then it is not a rectangle. 

The inverse is false- there are non-rectangular parallelograms. The contrapositive is true- a rectangle will always be a parallelogram, so if a shape isn't a parallelogram, it cannot be a rectangle. 


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Factor completly f(x)=x^4-2x^3-3x^2+2x+2
katrin2010 [14]
F (x)= (x+1)(x-1)(x^2-2x-2)
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2 years ago
Determine which of the following equations, when graphed, intersect at the point (4, 0). Select all that apply. x - y = 4 -x - y
Elza [17]

Answer: only (x-y=4) and (x+y=4).


Step-by-step explanation:

Notice target point has y=0, so all terms with y are zero. Then all 6 equations reduce to m x = k, for various m and k. So calculate 4×m and compare to k six times.


x - y = 4 4=4 yes

-x - y = 4 -4=4 no

2x - y = 7 8=7 no

x + y = 4 4=4 yes

2x + y = 7 8=7 no

2x + y = -7 8=-7 no.

6 0
3 years ago
Read 2 more answers
Eight more then seventimes a number (x) is atleast twenty nine
Mademuasel [1]

Answer:A number increased by seventeen is equal to seventy-three. x + 17 = 73

Some number decreased by seven is thirty-three. x - 7 = 33

A number increased by twelve is forty. x + 12 = 40

A number increased by fifteen is sixty-two. x + 15 = 62

Eight less than a number is nine. x - 8 = 9

A number divided by 11 is 4. x/11 = 4

Seven more than three times a number is 19. 3x + 7 = 19

Four more than five times a number is thirty-six. 5x + 4 = 35

Eight less than nine times a number is eleven. 9x - 8 = 11

Twelve more than four times a number is seven. 4x + 12 = 7

Seven more than triple a number is fifteen. 3x + 7 = 15

Seven times a number increased by eight equals twenty-three. 7x + 8 = 23

Eight more than six times a numbers is eleven. 6x + 8 = 11

Nine times a number increased by thirteen is twelve. 9x + 13 = 12

The quotient of a number and four is seventeen. x/4 = 17

A number increased by seven is twenty-five. x + 7 = 25

Fifty-five is the sum of a number and sixteen. x + 16 = 55

The product of a number and eleven is seventy-five. 11x = 75

Eight times a number increased by eleven is thirty-seven. 8x + 11 = 37

The difference of a number and twelve is thirty-four. x - 12 = 34

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by th
Anni [7]

Answer: The rocket will reach its max after 4 seconds

Step-by-step explanation:

Hi, to find the maximum height, we have to set the first derivative of the equation equal to zero.

y=-16x^2+128x+136

0 = (2)-16x +128  

0= -32x+128

Solving for x:

32x = 128

x = 128/32

x = 4 seconds

The rocket will reach its max after 4 seconds

Feel free to ask for more if needed or if you did not understand something.

7 0
2 years ago
HELP ME PLEASEEEEEEEEEEEE NOWWWW ASAPP
ozzi
( 3 , 5 ) is the answer
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