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timofeeve [1]
3 years ago
6

A (1, 1)

Mathematics
2 answers:
Savatey [412]3 years ago
8 0

Answer:

  D(4, 1)

Step-by-step explanation:

The two diagonals have the same midpoint, so ...

  (A+C)/2 = (B+D)/2

  A+C = B+D . . . . multiply by 2

  A+C-B = D . . . . . subtract B

  D = (1, 1) + (5, 3) - (2, 3) = (1+5-2, 1+3-3)

 D = (4, 1)

Andrews [41]3 years ago
4 0

Answer:

D(4 ; 1)

Step-by-step explanation:

vector(AB)=(2-1 ; 3-1) = (1 ; 2)

vector(DC)=(5-x ; 3-y)  and D(x ; y )

ABCD  parallelogram :vector(AB)=vector(DC)

you have the system : 5-x =1

                                       3-y =2

so : x=4 and y=1

D(4 ; 1)

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69 points!!!
Amiraneli [1.4K]

Answer:

C)  The solution for the given system of equations are A(0,-5) and B(-4,3)

Step-by-step explanation:

The given system of equation are : x^{2}  + y^{2}  = 25\\2x  + y  = -5

from equation 2, we get   y = -5 - 2x .

Put the above value of y in the equation (1).

We get: x^{2}  + y^{2}  = 25  \implies x^{2}  + (-5-2x)^{2}  = 25

By ALGEBRAIC IDENTITY:

(a+b)^{2}   = a^{2}  +  b^{2}  + 2ab\\ (-5-2x)^{2} = (-5)^{2}  +  (-2x)^{2}  + 2(-5)(-2x)

or, x^{2}  + (-5-2x)^{2}  = 25  \implies x^{2} + (25  +  4x^{2}  + 20x)  = 25

or, 5x^{2}  + 20x = 0  \implies x(5x + 20) = 0

⇒ x = 0 or,   x  = -20/5 = -4

So, the possible values for x are: x  = 0 or  x  = -4

If x  = 0, y = -5-2x = -5-2(0) = -5

and if x = -4, y = -5 -2(-4)   = -5 + 8  = 3

Hence, the solution for the given system of equations are A(0,-5) and B(-4,3)

8 0
3 years ago
I’m so confused on how to do it
Monica [59]

Answer:

785.4

Step-by-step explanation:

The formula to find the surface area of a cylinder is

2* pi* radius* height + 2* pi* 2radius.

2( 3.14) (5) (20)= 628

2 (3.14* 5*5)= 157

628+ 157= 785.

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3 years ago
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Answer:

None

Step-by-step explanation:

Mode is the number that repeats the most. All of these numbers are unique, and there is no repeats, therefore there is no mode.

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Step-by-step explanation:

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