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RideAnS [48]
3 years ago
10

Square GYTD has vertices G(-4,3) ; Y(0, 3) , T(0, -1) and D(-4, -1) . square GYTD is translated 2 units left and 2 units up what

produce Square G'Y'T'D' which coordinate describes the vertices of image
Mathematics
1 answer:
barxatty [35]3 years ago
6 0
The coordinates of the vertices of the image are ...

G' = G + (-2, 2) = (-4, 3) + (-2, 2) = (-6, 5)

Y' = Y + (-2, 2) = (0, 3) + (-2, 2) = (-2, 5)

T' = T + (-2, 2) = (0, -1) + (-2, 2) = (-2, 1)

D' = D + (-2, 2) = (-4, -1) + (-2, 2) = (-6, 1)
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i need help with simplifying fractions only the top ones i will do the making of a decimal or ill ask the question later
Vladimir79 [104]

Answer:

see explanation

Step-by-step explanation:

(a)

\frac{32}{40} ← divide numerator and denominator by 4

= \frac{8}{10} = 0.8

(b)

\frac{35}{50} → divide numerator and denominator by 5

= \frac{7}{10} = 0.7

(c)

\frac{60}{40} ← divide numerator and denominator by 4

= \frac{15}{10} = 1.5

8 0
3 years ago
Find all points on the portion of the plane x+y+z=5 in the first octant at which f(x, y, z) = xy2z2 has a maximum value.
irina1246 [14]
Lagrange multipliers:

L(x,y,z,\lambda)=xy^2z^2+\lambda(x+y+z-5)

L_x=y^2z^2+\lambda=0
L_y=2xyz^2+\lambda=0
L_z=2xy^2z+\lambda=0
L_\lambda=x+y+z-5=0

\lambda=-y^2z^2=-2xyz^2=-2xy^2z

-y^2z^2=-2xyz^2\implies y=2x (if y,z\neq0)

-y^2z^2=-2xy^2z\implies z=2x (if y,z\neq0)

-2xyz^2=-2xy^2z\implies z=y (if x,y,z\neq0)

In the first octant, we assume x,y,z>0, so we can ignore the caveats above. Now,

x+y+z=5\iff x+2x+2x=5x=5\implies x=1\implies y=z=2

so that the only critical point in the region of interest is (1, 2, 2), for which we get a maximum value of f(1,2,2)=16.

We also need to check the boundary of the region, i.e. the intersection of x+y+z=5 with the three coordinate axes. But in each case, we would end up setting at least one of the variables to 0, which would force f(x,y,z)=0, so the point we found is the only extremum.
4 0
3 years ago
PLEASE PLEASE PLEASE PLEASE PLEASE PLEASE PLEASE PLEASE PLEASE PLEASE PLEASE PLEASE HELP
Delvig [45]

ok‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎

4 0
3 years ago
5/3x-4/3x-1=8 solve please
SOVA2 [1]

Answer:x=27

Step-by-step explanation:

3 0
2 years ago
The first two terms of the perfect square trinomial are given, find "c".
Naddik [55]

Answer:

A.) 36

Step-by-step explanation:

For a perfect square trinomial, a = 1  b = 2x  c = x².  For an example, (x+3)² = x² + 6x + 9.

For this trinomial, divide "b" by 2 to get 6.  Square this number and you will have 36.

x² + 12x + 36

7 0
3 years ago
Read 2 more answers
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