The highest recorded temperature in Massachusetts was one hundred seven degrees Fahrenheit on August 27, 1975. The average month
1 answer:
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Answer:
C. (-2,4)
Step-by-step explanation:
We have been given a function and we are asked to find the vertex of our absolute value function.
The rules for the translation of a function are as follows:
Upon comparing our absolute function with above transformations we can see that our function is shifted to two units right of the origin(0,0) so x coordinate of our absolute function will be -2.
Our function is shifted upward from origin by 4 units, therefore, y-coordinate of our absolute value function will be 4.
Therefore, the vertex of our absolute value function will be on point (-2,4) and option C is the correct choice.
Given:
In a right triangle, the measure of one acute angle is 12 more than twice the measure of the other acute angle.
To find:
The measures of the 2 acute angles of the triangle.
Solution:
Let x be the measure of one acute angle. Then the measure of another acute is (2x+12).
According to the angle sum property, the sum of all interior angles of a triangle is 180 degrees. So,
Divide both sides by 3.
The measure of one acute angle is 26 degrees. So, the measure of another acute angle is:
Therefore, the measures of two acute angles are 26° and 64° respectively.