Answer:
Step-by-step explanation:
- To know the value that y takes according to the inequation
, we must do some algebra. - First of all, we divide both terms by (-3), wich would change the direction of the inequality, as follow:
(at this point you should remember that dividing or multiplying an inequation by anegative number changes the direction of the inequality).. - This means that
. Then,we just have to add both sides 4, which yields 
. - Then
, which means that, if we divide both sides by 5, we obtain the value of y: (in this case, the direction of inequality does not change because 5 is possitive).
Answer:
6^3 = 216 ( to the power of three )
There are two triangles, a big triangle and a small triangle that is inside the big triangle. Because the base of the triangles are parallel to each other( indicated by the arrow), and the small triangle is perfectly inside the bigger triangle, the sides of the triangles are proportional.
It is know that the base of the small triangle is 3.5, and the hypotenuse of the small triangle is 7cm. it is also known that the the hypotenuse of the big triangle is (7+8)=15 and the base of the big triangle is unknown.
Since the triangles are proportional,
to find the base of the big triangle
base(big)/hypotenuse(big)=base(small)/hypotenuse(small)
Plug in the numbers
x/15=3.5/7
x/15=1/2
x=15/2
x=7.5
The length of the base of the big triangle is 7.5cm
Answer:
2^5
Step-by-step explanation:
2^4 × 2^6 ÷ 2^5
= 2^10 ÷ 2^5
=2^5
Answer:
Equivalent fractions
Step-by-step explanation:
