Answer:
2
Step-by-step explanation:
Calculate the distance (d) using the distance formula
d = √(x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = (- 2, 4) and (x₂, y₂ ) = (4, - 6)
d = 
= 
= 
=
=
=
×
= 2
Where x is the length of the first piece

so the first piece is 3 inches, the second is 6 inches and the third is 19 inches
Use substitution.
2p + 3(2p) = 680
2p + 6p = 680
8p = 680
p = 85
Plug in.
x = 2p
x = 2(85)
x = 170
p = 85
Answer:
y = -1 and u = 3.333
Step-by-step explanation:
The given equations are :
3u + y = 9 ...(1)
3u-5y = 15 ...(2)
Subtract equation (2) from (1).
3u + y-( 3u-5y)= 9 -15
y+5y = -6
6y = -6
y = -1
Put the value of y in equation (1).
3u + (-1) = 9
3u-1 = 9
3u = 10
u = 10/3
u = 3.333
The attached figure shows the graph for the above equations.
Answer:
88
Step-by-step explanation:
Given:
(h⁴ + h² – 2) ÷ (h + 3).
We could obtain the remainder using the remainder theorem :
That is the remainder obtained when (h⁴ + h² – 2) is divided by (h + 3).
Using the reminder theorem,
Equate h+3 to 0 and obtain the value of h at h+3 = 0
h + 3 = 0 ; h = - 3
Substituting h = - 3 into (h⁴ + h² – 2) to obtain the remainder
h⁴ + h² – 2 = (-3)⁴ + (-3)² - 2 = 81 + 9 - 2 = 88
Hence, remainder is 88