Answer:
y=3/2x+1
Step-by-step explanation:
y-4= -⅔(x-6)
y-4=-⅔x+4
y=-⅔x+4+4
(equation of line 1) y= -⅔x+8 gradient= -⅔
(line 2)gradient=3/2
note* the gradients of perpendicular lines multiplied result to -1
gradient=<u>y²-y²</u>
<u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u>x²-x¹
<u>3</u><u> </u>=<u>y</u><u>+</u><u>2</u>
<u> </u><u> </u>2. x+2
multiply both sides by 2(x+2)to remove the denominators
3(x+2)=2(y+2)
3x+6=2y+4
3x+6-4=2y
3x+2=2y
divide all sides by 2
3/2x+1=y
y=3/2x+1
Answer:
Recycling materials helps decrease the amount of new materials taken from the environment.
Step-by-step explanation:
Recycling materials helps decrease the amount of new materials taken from the environment.
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Answer:
A, f(2) is the answer because it fits into the requirements.
Answer:
n = 8
Step-by-step explanation:
Continuing the sequence using
+ 
x₄ = x₂ + x₃ =1 + 2 = 3
x₅ = x₃ + x₄ = 2 + 3 = 5
x₆ = x₄ + x₅ = 3 + 5 = 8
x₇ = x₅ + x₆ = 5 + 8 = 13
x₈ = x₆ + x₇ = 8 + 13 = 21
x₉ = x₇ + x₈ = 13 + 21 = 34
x₁₀ = x₈ + x₉ = 21 + 34 = 55 ← with n = 8
Answer: Yes the sum of any two numbers is greater than the larger of the two numbers.
Step-by-step explanation:
Yes the sum of any two numbers is greater than the larger of the two numbers.
Let us assume that the two numbers are a and b and ab is the number.
a + b > a
b > a – a
b > 0
This therefore implies that b > 0.
This may however not be true when the value of b is zero(0) or a negative number.