Solve 2(4x + 5) > 7x + 20.
1 answer:
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Answer:
The function was expanded vertically by 5, and then translated vertically upwards 6 units.
Which is the third option in the list of possible answers.
Step-by-step explanation:
Recall that the types of transformations associated with:
A) a function multiplied by a positive factor larger than one consists on the function expanded vertically by that factor.;
B) a positive number added to the function consists on the vertical translation of the function upwards as many units as the number added.
Therefore, the function being transformed into
consists of the initial function expanded vertically by 5, and then translated vertically upwards 6 units.
Answer:
The length of sides of one square is 5cm and length of sides of another square is 9cm
Step-by-step explanation:
Let the length of rectangle be x and width of rectangle be y.
We have given,
Area of rectangle = 45 cm²
i.e. Area of rectangle = x·y = 45 or xy = 45 ---------(1)
Next, two squares are constructed from two adjacent sides of rectangle.
i.e Side length of one square will be x and side length of another square will be y.
Area of one square = x²
And area of another square = y²
According to problem,
Sum of area of two squares is 106 cm²
∴ x²+y² = 106 ---------------(2)
From equation (1) and (2) , we can find x and y.
xy = 45 or x = , Plug this in equation (2).
We get,
x² + y² = 106
or
or
or
On solving this equation we get ,
y²=81 or 25
or y = 9 or 5
for y =9 , x=
or for y = 5 , x =
Hence the length of sides of one square is 5cm and length of sides of another square is 9cm