You can just put these answers in a calculator.
C. Coordinates of D' (-6,3)
<u>Step-by-step explanation:</u>
When any figure is rotated 180° in the counterclockwise direction, then the coordinates of the vertices is changed into its opposite sign.
(x, y) → (-x, -y)
The coordinates of the vertices of quadrilateral ABCD is changed when it is rotated 180 degrees counterclockwise about the origin as,
A (7,-7) → A'(-7,7)
B (4,-10) → B' (-4,10)
C (1.5, -2.5) → C' (-1.5, 2.5)
D (6, -3) → D'(-6,3)
So the coordinates of D' will be (-6,3)
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Answer:
g(z+2)=(z+7)/(2z+5)
Step-by-step explanation:
g(x)=(x+5)/(2x+1)
Replace x with z+2
g(z+2)=(z+2+5)/(2*(z+2)+1)
Combine like terms
g(z+2)=(z+7)/(2z+4+1)
g(z+2)=(z+7)/(2z+5)
Answer:
170 muffins
Step-by-step explanation:
We start from the ratio between baker B and C
The ratio of cakes baked by both is 4:3.
We know baker C baker 150 muffins:
This mathematically means:
B:C = 4:3 = B:150
This means 4/3 = B/150
B = (4 * 150)/3 = 200
Baker B baked 200 cakes
We now move back to the first statement
The ratio between baker A and B is 8:5
Mathematically, this means:
A:B = 8:5 = A:200
8/5 = A/200
A = (8 * 200)/5 = 320
The number of cakes baker A baker pass baker C would be 320 - 150 = 170 muffins
add all numbers and divide by the count of numbers.