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3 years ago

7

The Oliver family ate 3/8 of a casserole

1 answer:

natulia [17]3 years ago

7 0

Check the picture below.

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Three vertices of parallelogram WZXY are W(-5, 2), X(2, 4) and Z(-7, -3). Find the coordinated of the vertex, Y.

Dominik [7]

Answer:

$Y = (4,9)$

Step-by-step explanation:

Given

$W(x_1,y_1) = (-5, 2)$

$Z(x_4,y_4) = (-7, -3)$

$X(x_2,y_2) = (2, 4)$

Required

Find Y

To do this, we make use of the mid-point formula

i.e.

$M = \frac{1}{2}(x_n+x_m,y_n+y_m})$

WX and ZY are the diagonals of the parallelogram.

The mid-point of WX is:

$M = \frac{1}{2}(-5+2,2+4)$

$M = \frac{1}{2}(-3,6)$

The mid-point of ZY is:

$M = \frac{1}{2}(-7+x,-3+y)$

Equate both values of M

$\frac{1}{2}(-3,6) = \frac{1}{2}(-7+x,-3+y)$

Multiply both sides by 2

$(-3,6) = (-7+x,-3+y)$

By comparison:

$-7 + x = -3$

$-3 + y = 6$

$-7 + x = -3$

$x = 7 -3$

$x = 4$

$-3 + y = 6$

$y = 6 +3$

$y = 9$

Hence:

$Y = (4,9)$

3 0

2 years ago

Simplify the expression

professor190 [17]

Answer:

2

Step-by-step explanation:

$4^{2}$ /2= 8

8+6= 14

4+3=7

14/7= 2

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3 years ago

The problem is Question<br> Divide.52÷(−45)

Artemon [7]

Answer:

-1.555

Step-by-step explanation:

52/(-45)= -1.555555

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2 years ago

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Write the product in standard form. ( 7 + 7i)( 6 + 7i)

slava [35]

$( 7 + 7i)( 6 + 7i)=42+49i+42i-49=-7+91i$

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3 years ago

A pond is freshly stocked with 15 brown trout and 9 lake trout. The first fisherman in the area catches and releases a trout. He

Butoxors [25]

Idk but you can HML

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3 years ago

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