The word of God has a profound way of encouraging its readers to be strong and courageous in the midst of tumultuous circumstances. These inspirational quotes are a great starting point for morning prayers and hope-filled conversations. Use them as an ever-present reminder all things are possible with God, and His mercies are new every morning.
Answer:
y = -x + 5
y = x/2 + 3/2
Step-by-step explanation:
First we calculate the slope as difference between coordinates
a) P₁ ( -1 , 6 ) P₂ ( 3 , 2 )
m = Δy/Δx ⇒ m = ( y₂ - y₁ ) / ( x₂ - x₁ ) ⇒ m = (2 -6 ) / (3 -(-1))
m = -4 /4
m = -1
Now we have:
y - y₁ = m ( x - x₁ ) ⇒ y - 6 = (-1) ( x - (-1))
y - 6 = -1 * ( x + 1 ) ⇒ y - 6 = - x - 1
y = -x + 5
In the second case
Q₁ ( -3 , 0 ) Q₂ ( 5 , 4 )
Again we calculate the slope
m = Δy / Δx ⇒ m = ( 4 - 0 ) / ( 5 - (-3)) ⇒ m = 4 / 8 ⇒ m = 1/2
m = 1/2 or x = 0,5
And
y - y₁ = 1/2 ( x - x₁ ) ⇒ y - y₁ = 1/2 ( x - (-3)) ⇒ y - 0 = 1/2 * x + 3/2
y = x/2 + 3/2
Answer:
The scale is 11 feet per one inch.
Step-by-step explanation:
Answer:
The number is 16
Step-by-step explanation:
Five more than a certain number is 11 less than double the number
x+5 = 2x-11
11+5 = 2x-x
16 = x
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Answer: She messed up in Step 1
She first should of tried to factor it first. There she can see that 3 and -11 work together in order to get (x+3)(x-11)
x= -3 and x=11
Explanation:
I hope this helped!
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- Zack Slocum
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