I think it is E not very sure but try it
9514 1404 393
Answer:
k = -2
Step-by-step explanation:
The determinant can be formed by subtracting up-diagonal products from down-diagonal products:
(x)(x+y)(y) +(y)(x)(x+y) +(x+y)(y)(x) -(x+y)^3 -x^3 -y^3
= 3xy(x+y) -(x^3 +3x^2y +3xy^2 +y^3) -x^3 -y^3
= -2(x^3 +y^3)
The value of k is -2.
Answer:
1/5
Step-by-step explanation:
y1-y2/x1-y2 = (3-1)/5-(-5)
Answer:
970 cm
Step-by-step explanation:
Given that:
Size of brick :
25cm × 16cm × 10cm
Number of bricks = 4700
Dimension of wall = 20 m long × 20 cm wide
Let the height = h
Hence, dimension of wall (length and height)
2000 cm × h
Dimension of window = 2m × 1.5m = 200cm × 150cm
Number of windows = 2
Total area covered by windows = 2 * (L * B)
= 2(200 * 150) = 60,000cm
Brick = (25 * 16) * 4700 = 1, 880, 000 cm ( length and height)
Wall = 2000 * height - 60,000 = 1880000
2000height - 60,000 = 1880000
2000height = 1880000 + 60,000
2000height = 1940000
Height = 1940000 / 2000
Height of wall = 970 cm
<h3>
Answer: (2, 3)</h3>
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Explanation:
1/4 = 0.25 is the scale factor
Multiply this with each coordinate of the given point
0.25*8 = 2 is the new x coordinate
0.25*12 = 3 is the new y coordinate
So (8,12) moves to (2,3) after applying the dilation
The scale factor k makes 0 < k < 1 true, so the point is closer to the origin after applying the dilation.
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Side note: this trick of multiplying the scale factor by each coordinate only works if the dilation is centered at the origin. For any other center, you'll need to apply a translation first, dilate, then translate back again.
