The scale factor of the dilation from ABCD to A′B′C′D′ is 3.
Step-by-step explanation:
Step 1:
In the pre-image ABCD, the length of one of the sides is given as 14 units.
For the other shape A′B′C′D′, the same side as the previous shape is given as 8 units.
Step 2:
To determine the scale factor, we divide the measurement after scaling by the same measurement before scaling.
In this case, it is the given length of the sides CD and C′D′.
So the scale factor = 
So the shape ABCD is dilated by a scale factor of 
to produce the shape A′B′C′D′.
SOLUTION
From the sequence give
–3, 1, 5, 9, . . .
The first term, a = -3
The common difference, d = 4 (gotten by adding 4 to the next term).
The number of terms required n = 6.
Formula for sum of an arithmetic sequence is given by
Substituting these values into the equation above we have
Hence, the answer is 42, option B
The answer is B. 0.8/0.1 = s
The solution is as follows:
s = honey at hand / honey needed for 1 serving
= 0.8 L / 0.1 L
= 8, she can make 8 servings of the recipe
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Answer:
(x, y) = (3, 3)
Step-by-step explanation:
Subtract double the second equation from the first.
(2x +3y) -2(x +y) = (15) -2(6)
y = 3 . . . . . . . . simplify
Use the second equation to find x.
x = 6 -y = 6 -3 = 3
The values of x and y are both 3.
