4^3*4^-5= 4^-2 (add the exponents since the base is the same)
5^-4*5^1= 5^-3 (add the exponents since the base is the same)
Square both terms (double the exponents)
(4^-2)^2= 4^-4
(5^-3)2= 5^-6
Then take out negative exponents (x^-a= 1/x^a)
4^-4 /5^-6 = 5^6/4^4
Final answer: 5^6/4^4
If you want it in number form
5^6= 15625
4^4=256
15625/256= 61.035...
Answer:
incorrect: y= -1.5x
correct: The slope is 3.
HOPE I HELPED!!!
Step-by-step explanation:
Answer:
1. 140
2. 140
3. 40
4. 40
Step-by-step explanation:
The lines are parallel so angels 1,4,5,8 are the same.
Same with angels 2,3,6,7.
To find angels 7 and 2 subtract 140 with 180 since the horizontal line equals 180 which gives you 40
Answer:
Answer:18+4.5
Step-by-step explanation:
This shape is a triangle with a semicircle connected to it
and this triangle is a right triangle so side A=B
that means the other leg is 6.Knowing that we can solve
The formula for the area of a triangle is (base×height)÷2
so that means 6×6 equals 36 and if you divide that by 2 you get the 18.
Now we will deal with the semicircle. We know that both of the legs are 6 so that means the diameter is 6 and now we solve 6 divided by 2 equals 3 and we will have to square that and we will 9 and since it is a semicircle we have to divide it by 2 and that will give us 4.5 and since we have to express it in terms of pi it will be 4.5(pi) and then we add both of the areas
giving us 18+4.5(pi)
and do you go to RSM