Answer:
x=-5, y=2. (-5, 2).
Step-by-step explanation:
2x+y=-8
3x-5y=-25
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5(2x+y)=5(-8)
3x-5y=-25
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10x+5y=-40
3x-5y=-25
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13x=-65
x=-65/13
x=-5
2(-5)+y=-8
-10+y=-8
y=-8-(-10)=-8+10=2
Answer:
The answer is below
Step-by-step explanation:
Transformation is the movement of a point from its initial location to a new location. Types of transformation is rotation, reflection, translation and dilation.
Dilation is the increase or decrease in the size of a figure by a factor (k). If k > 1, then it is a enlargement and if k < 1, it is a reduction. If a point A(x, y) is dilated by a factor k, the new point is A'(kx, ky).
Triangle DEF is a dilation of triangle ABC by a factor of 3/4. Hence the coordinates of triangle DEF is:
D(3/4, 9), E(3/4, 9/2), F(3/4, 27/4)
Answer:
70
Step-by-step explanation:
RU=20 (45-45-90 triangle)
use pythagorean theorum
20^2+b^2=73^2
evaluate
b^2=4929
sq root both side
rounded to nearest integer, side SU is 70
If x represents the width of the poster (including borders), the area of the finished poster can be written as
.. a = x*(390/(x -10) +8)
.. = 8x +390 +3900/(x -10)
Then the derivative with respect to x is
.. da/dx = 8 -3900/(x -10)^2
This is zero at the minimum area, where
.. x = √(3900/8) +10 ≈ 32.08 . . . . cm
The height is then
.. 390/(x -10) +8 = 8 +2√78 ≈ 25.66 . . . . cm
The poster with the smallest area is 32.08 cm wide by 25.66 cm tall.
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In these "border" problems, the smallest area will have the same overall dimension ratio that the borders have. Here, the poster is 10/8 = 1.25 times as wide as it is high.
