Answer:
-1
Step-by-step explanation:
We need to find the value of tan² 70° -sec² 70°.
We know that,
...(1)
We can write the given expression as :
tan² 70° -sec² 70° = -(-tan² 70° +sec² 70°)
=-(sec² 70°-tan² 70°)
Using identity (1)
=-(1)
= -1
Hence, the value of the given expression is -1.
Solution: Which statement about the scatter plot is true?
The correct answer is option A. As the number of weeks in class increases, the number of keyboarding mistakes decreases.
Explanation: From the scatter plot, we clearly see there exists a negative linear relationship between the number of weeks in class and the number of mistakes. And we know that if there exists a negative linear relationship between the two variables, then the values of two variables move in opposite direction. If the values of one variable goes up, the values of other variable go down. From the given scatter plot, we clearly see the number of mistakes goes down as the number of weeks in class increases. Therefore, the option A is correct
The answer:
by definition, an exponential function with base c is defined by <span>h (x) = ac^x</span><span>
where a ≠0, c > 0 , b ≠1, and x is any real number.</span>
The base, c, is a constant and the exponent, x<span>, is a variable.
</span>so if we have f(x)=3(3\8)^2x, this equivalent to f(x)=3(3\8)^y(x),
where y (x)=2x, <span>
therefore, the base is 3/8, and the variable is the function </span>y (x)=2x,
Answer:
A) Reflection.
Step-by-step explanation:
From the figure shown, we can see that the blue triangle is flipped about the x-axis to form the red triangle.
When an object is flipped about a line, then this transformation is called reflection about that line.
Thus, we can say that reflection is taking place in the figure shown in which the x-axis is acting like a mirror. The blue triangle is the pre-image and the red triangle is the image after reflection.
The reflection about x-axis is given by:
We can check the co-ordinates of the triangles and confirm the the transformation occurring
Points of pre-image triangle:
Points of image triangle
Thus, the transformation is reflection.
83 percent.
Simply do 11-6, which is 5; then do 5/6, and multiply by 100 to get the percent. That equals out to be 83.3333 percent. Or 83 percent when rounding.