4 raised to power 1 = 4¹ = 4
4 raised to power 2 = 4² = 16
4 raised to power 3 = 4³ = 64
4 raised to power 4 = 4⁴ = 256
4 raised to power 2 = 4⁵ = 1024. This is outside the range, so it is excluded.
All the powers are 4, 16, 64 and 256
Answer:
The area of ∆DEF = 4.5in²
Step-by-step explanation:
From the above diagram,
∆BAC ~∆DEF
It is important to note that if two triangles are similar, the ratio of their areas is equal or equivalent to the ratio of the areas of their sides
This means for the above question, that
We have the bigger triangle = ∆BAC has a side of 4 in and Area = 8 in²
The small triangle has a side of 3in
Finding the scale factor k = ratio of the sides of both Triangles
k = 4/3
k² = (4/3)²
k² = 16/9
Hence,
Area of ∆BAC/ Area of ∆DEF = 16/9
8in²/Area of ∆DEF = 16/9
We cross Multiply
8 in² × 9 = Area of ∆DEF × 16
Divide both sides by 16
Area of ∆DEF = 72/16
= 4.5in²
Therefore, the Area of ∆DEF rounded to the nearest tenth = 4.5in²
Answer:
Like Terms:
- (
and 
)
- (
and 
)
- (
and 
)
Step-by-step explanation:
Write the trinomial
Use distributive property
Combine like term
13x-8+7x+4+3x
Combine like terms
23x-4
It can only be simplified. Without an equal sign (=), x cannot be found.
Answer:
8x + 4
Step-by-step explanation:
change it around
9-5 5x+3x.
9-5=4, 5x+3x=8x.
4+8x or 8x+4
