Answer:
B. rotation 90° counterclockwise about the origin.
Step-by-step explanation:
Transformation is the process by which the size or orientation of a given figure is altered without any effect on its shape. Examples are; rotation, reflection, translation and dilation.
Rotation is the process of turning a figure about a reference point called the origin. While reflection is turning a figure about a line to produce its image.
In the given question, ∆ABC is mapped onto ∆A'B'C' by rotating it at 90° counterclockwise about the origin.
Step-by-step explanation:
We can observe from the table that the value of independent variable and then the values of function on that variable are given.
So,
<u>f(5) = 6</u>
As the value of function at x=5 is 6
<u>If f(x) = 4 then x = 7</u>
The value of function is 4 only on x=7 so the answer is x = 7
When the inverse is taken, the inputs become output and the outputs become inputs
The value of inverse will be 5 because in original function 5 is input and 6 is output when this will be reversed for inverse, the output will be 5 for 6
Now,
Lastly
The reverse rule of input and output will be used. The reverse function will generate 7 at input 4.
D. 68
I don’t remember what formula this is called but the formula says that all angles in a triangle should add up to 180, so 75+37= 112, 180-112= 68
<span>This is a quadratic equation . We order to equate to zero
</span>2x²<span> – 7 = 9
</span>
2x² - 7-9 = 0
2x² - 16 = 0
This equation is a binomial
2* (x² - 8) = 0
<span>We choose the simplest method . The equation with practice it can be calculated in the memory
</span><span>
The product is equal to 0 if one of the factors is zero
</span>
2≠0 ∨ x² - 8 = 0
x² = √8
x = √8 ∨ x= - √8
Answer : x = √8 ∨ x = -√8
