The intersection of 
is 
Explanation:
The expression is
To determine the intersection of these two inequalities, let us solve the two inequalities separately.
Consider 
Subtracting both sides by 1, we have,
Also, consider 
Adding both sides by 4, we have,
Using these two simplified inequalities in the expression, we have,
Writing this in the interval notation, we get,
Hence, the intersection of the two interval is
Thus, the intersection of is
For
|a|=b, solve for
a=b and a=-b
so
|a-4|=3a-6
solve
a-4=3a-6 and a-4=-(3a-6)
first one
a-4=3a-6
minus a from both sides
-4=2a-6
add 6 to both sides
2=2a
divide by 2
1=a
other
a-4=-(3a-6)
a-4=-3a+6
add 3a both sides
4a-4=6
add 4 to both sides
4a=10
divide by 4
a=10/4
a=5/2
a=5/2 and 1
Log of 1 / 100 is - 2 because 10^( - 2 ) = 1 / 10^2 = 1 / 100 ;
The question is missing the image given to go along with it, corresponding to the map being created. The image is attached to this answer.
The side angle side (SAS) similarity theorem states that two triangles with congruent angles and sides with identical ratios then the two triangles are similar. We have various points on the map, Home (H), Park (P), Friends house (F) and Grocery store (G).
In this example, we know the angle at the point Home on the map, is shared between the two triangles. If these two triangles are similar, then the ratio of the distances HF/HG = HP/HB. We know all of these values except for the HB which is the distance from home to the bus stop. But if these triangles are similar, we can solve for that distance.
15/9 = 10/HB
HB = 90/15
HB = 6 blocks.
To determine if the triangles are similar we need to know the distance from home to the bus stop, and if these are indeed similar, that distance must be 6 blocks.
Answer:
A
Step-by-step explanation:
x² - 4x - 5 = 0
x² - 5x + x - 5 = 0
x(x - 5) + (x -5) = 0
(x - 5)(x + 1) = 0
x - 5 = 0 ; x + 1 = 0
x = 5 ; x = -1
