The required distance would be 17.88 units coordinates A(-4,5) and B(12,13) and the horizontal distance is 16 units and the vertical distance is 8 units from A to B which are determined by the graphing method.
<h3>What is the distance between two points?</h3>
The distance between two points is defined as the length of the line segment between two places representing their distance.
Given AB with coordinates A(-4,5) and B(12,13).
The formula of the distance between two points is A(x₁, y₁) and B(x₂, y₂) is given by: d (A, B) = √ (x₂ – x₁)² + (y₂ – y₁) ².
x₁ = -4, y₁ = 5
x₂ = 12, y₂ = 13
distance = √ (12 – (-4))² + (13 – 5)²
distance = √ (12 + 4)² + (8)²
distance = √ (16)² + (8)²
distance = √ (256 + 64)
distance = √320
distance = 17.88 units
The horizontal distance is 16 units and the vertical distance is 8 units from A to B which are determined by the graphing method.
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Answer:
f(-4) = 72, f(x + 5) = 3x² + 23x + 36
Step-by-step explanation:
f(-4) = 3(-4)² - 7(-4) - 4
= 48 - (-28) - 4
f(-4) = 72
f(x + 5) = 3(x + 5)² - 7(x + 5) - 4
= 3(x + 5)(x + 5) - 7(x + 5) - 4
= 3(x² + 10x + 25) - 7(x + 5) - 4
= 3x² + 30x + 75 - 7x - 35 - 4
f(x + 5) = 3x² + 23x + 36
Answer:
(6,-4)
Step-by-step explanation:
P(-2,2)
-2 - 4 = 6
2 - 6 = -4
(x,y) so you start at the orgin and go down two because it's negative. then you go right six and plot your point.
negative number - down or left
positive number - up or right
Answer:
8
Step-by-step explanation:
f(1)=7(1-1)+8
f(1)=7(0)+8
f(1)=0+8
f(1)=8