21/4 is equivalent to...
4 x 5 = 20
so, 21/4 = 5 1/4
5 1/4 = 5.25
5 1/4 = 5 2/8 = 42/8
42/8 = 84/16
Answer:
y = 2 -√(x+1)
Step-by-step explanation:
The square root function is reflected across the x-axis and shifted 1 unit to the left and 2 units up.
y = -√x . . . . . reflects the function across the x-axis
y = -√(x+1) . . . shifts the reflected function 1 unit to the left
y = 2 -√(x +1) . . . shifts the above function 2 units up
The graph is of the equation y = 2 -√(x+1).
<h3>Answer:</h3>
All acute angles are 72.5°; all obtuse angles are 107.5°.
<h3>Explanation:</h3>
Angles on the same side of a transversal cutting parallel lines have measures that total 180°. If o and a represent the measures of the obtuse and acute angles, respectively, then we have ...
... o + a = 180
... o - a = 35
Adding these two equations gives ...
... 2o = 215
... 215/2 = o = 107.5 . . . . degrees
Then the other angle is ...
... a = 107.5 - 35 = 72.5 . . . . degrees
_____
All corresponding angles have the same measures. All vertical angles have the same measures. So the 8 angles that arise from the intersection of the transversal with these two parallel lines will have one or the other of these two measures.
Answer:
When we have a point (x, y) and we do a reflection over a given line, we know that the new point (x', y') will be at the same distance from the line as our initial point (x,y).
Now, in this case, we have a reflection over the line y = -1. (this line is parallel to the x-axis)
But in the image, we can see that the reflected triangle is drawn in the other side of the y-axis, this means that the reflection was made in a line parallel to the y-axis.
Then the mistake that Oscar did is that he reflected over the wrong line, seems that he reflected the triangle over the line x = -1 instead of the line y = -1.
(Look at photo for explanation for slope)
Slope/m is 17
After graphing both points and making a line, you will find that the y-intercept/b crosses at -15
So,
Slope/m = 17
Y-intercept/b = -15
