Answer:
Step-by-step explanation:
45/19 ~ 2.4
Hope that helps!
Answer:
I'm pretty sure it's 4
Step-by-step explanation:
association property of addition involves well addition and that's what it shown in y+0=y
Answer:
Line A
Step-by-step explanation:
It has a lower slope of 3/4
Answer:
-3
Step-by-step explanation:
We know that both the larger triangle is dialated by some factor.
To start divide the two given sides:
36/24=1.5
This means that the larger triangle is dialated by a factor of 1.5, meaning that all sides of the smaller triangle must be multipled by 1.5 to get the larger triangle.
By knowing that we can multiply 3x-7 by 1.5 and set it equal to 6x-6.
1.5(3x-7)=6x-6
4.5x-10.5=6x-6
-6x+4.5x=10.5-6
-1.5x=4.5
x=(4.5)/(-1.5)
x= -3
Answer:
10 + 7 + 4 + . . .; n = 5
The series is arithmetic
Common difference between terms = (-3)
10 - 3 = 7
7 - 3 = 4
Or:
10 + (-3) = 7
7 + (-3) = 4
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<u>Another example</u>:
Arithmetic:
5, 9, 13, 17
common difference = 4
5 + 4 = 9
9 + 4 = 13
Geometric:
4, 8, 16, 32
4 × 2 = 8
8 × 2 = 16
16 × 2 = 32
common ratio = 2
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10 + 7 + 4 + . . .; n = 5
a₁ = 10
a₂ = 7
a₄ = a₃ + d = 4 + (-3) = 4 - 3 = 1 (d = common difference)
a₅ = a₄ - 3 = 1 - 3 = -2
Or with formula:

d = a₂ - a₁ = 7 - 10 = -3
aₙ = a₁ + (n - 1)d
fourth term = a₄ = 10 + (4 - 1)(-3) = 10 + 3(-3) = 10 + (-9) = 10 - 9 = 1
fifth term = a₅ = 10 + (5 - 1)(-3) = 10 + 4(-3) = 10 + (-12) = 10 - 12 = -2
Sum of the finite series (if n = 5):

Manual count: S₅ = 10 + 7 + 4 + 1 + (-2) = 20