Answer:
1 / 3^5
1/ 243
Step-by-step explanation:
3^4 ÷ 3^9
We know that a^b ÷ a^c = a^ ( b-c)
3 ^ ( 4-9)
3^ -5
We can rewrite this as a^-b = 1/ a^b
1 / 3^5
We know that 3^5 = 243
1/ 243
Answer:
rhombus
Step-by-step explanation:
Rhombus has that equiangular and is equilateral but I'm not entirely sure about this...
Answer: H
Step-by-step explanation:
Supplementary angles just mean they add up to 180 degrees. 180 degrees means that when the two angles are put together one of each of their sides will form a straight line.
Answer:
4 boys, 3 girls
Step-by-step explanation:
brothers of John ⇒ x
sisters of John ⇒ y
John has as many brothers as sisters:
- x = y
brothers of Emily ⇒ x + 1 (Emily have the same amount of brother as John, plus one (John))
sisters of Emily ⇒ y -1 (Emily have the same amount of sister as John, minus one (herself))
Emily has twice as many brothers as sisters:
- 2 (y-1) = x+ 1
Now we have a system of 2 equations and 2 variables
x=y (I)
2y - 2 = x + 1 (II)
____________
Replace x in equation II
2y - 2 = y + 1
2y - y = 2 + 1
y = 3
____________
Replace y in equation I
x = y = 3
That mean that John have 3 brothers plus himself, there is 4 boys in the family and John have 3 sister, so there is 3 girls in the family
Answer:
2x^2 +11
Step-by-step explanation:
f(x) = 3x^2 +2
g(x) = x^2 -9
f(x) - g(x) = 3x^2 +2 - (x^2 -9)
Distribute the minus sign
= 3x^2 +2 -x^2 +9
Combine like terms
= 2x^2 +11
