What is the difference 1/8 - 3/10 a.17/40 b.7/40 c.-3/40 d.7/40
1 answer:
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Answer:
A.
Step-by-step explanation:
We have that, ΔABC is transformed to get ΔA''B''C''.
We see that the following transformations are applied:
1. Reflection across x-axis i.e. flipped across x-axis.
Now, ΔABC is reflected across x-axis along the line AC to get ΔA'B'C'.
2. Translated 2 units down i.e. shifted 2 units down and and then translated 6 units to the left i.e. shifted 6 units to the left.
So, ΔA'B'C' is translated 2 units downwards and 6 units to the left to get ΔA''B''C''.
Hence, the sequence of transformations is Reflection across x-axis and then Translation of 2 units down and 6 units left.
Candy draws a square design with a side length of x inches for the window at the pet shop. She takes the design to the printer and asks for a sign that has an area of 16x2 – 40x + 25 square inches. What is the side length, in inches, of the pet shop sign?
Answer:
the length of the sign is inches
Step-by-step explanation:
Given
Area of the square of design =
First we find the roots of equation
The roots of the quadratic equation are given by
where
That is, the factors of the polynomial are
and
.
So, Area of the square design = =
Area of a square = Length^2
Thus, the length of the sign is inches
Answer:
option C.
Step-by-step explanation:
we have that
The point (-5,-12) belong to the III quadrant
so
The value of the cosine is negative
Applying the Pythagoras Theorem
Find the value of the hypotenuse
The value of cosine of angle θ is the ratio between the side adjacent to angle θ and the hypotenuse