Answer:
Width = x² + 5x - 4
Step-by-step explanation:
By the definition of an area model,
Area = Width × greatest common factor
Since, Area = 4x² + 20x - 16
And greatest common factor = 4
4x² + 20x - 16 = 4(Width)
By dividing both the sides of the equation by 4,
x² + 5x - 4 = Width
Therefore, width = (x² + 5x - 4) will be he answer.
Answer:
Step-by-step explanation:
Answer:
(-5, 1)
Explanation:
We are given a kite on the graph which is rotated 180° clockwise about the origin and then reflected over the Y axis followed by reflection over the X axis.
We are to find the coordinates of point A after the complete transformation.
A (-5, 1)
When a point is rotated 180° clockwise about the origin, the signs of its coordinates change.
A (-5, 1) ---> A' (5, -1) - after clockwise rotation of 180 degrees about origin
Then this point A' is reflected over the Y axis where the y coordinate remains the same but x coordinate changes its sign.
A' (5, -1) ---> A'' (-5, -1) - after reflection through y axis
Now this point A'' is reflected over the X axis where the x coordinate remains the same while y coordinates changes its sign.
A'' (-5, -1) ---> A''' (-5, 1) - after complete transformation
Answer:
According to logarithmic properties.... The right hand side can be written as
log base 7 (180/3).....which is log base 7 60
So according to the question cancel out the log base 7 from both sides....
Then we get 8r + 20 = 60
That is 8r = 40..
That is r = 5......
Therefore the value of r is 5
1) 4x + 2 = 1/2x + 17
2) 4x - 1/2x = 17 - 2
3) 3.5x = 15
4) (3.5x)/3.5 = 15/ 3.5
5) x = 4.29 (rounded)
Answer:
5. alternate interior angles
7. angle addition postulate
