Answer:
Pandas
15k+8(11-k) ---> 15k+88-8k----->7k+88
The answer is 12 but the way you get it is you subtract 400 from 1000 which gives you 600 then you divide 600 by 50 to get 12. So it looks like this 1000-400= 600, 600/50=12. Hope this helps. :)
Answer:
a) (x+2)^2-2
Step-by-step explanation:
write in form of x^2+2ax+a^2
2a=4
a=2
so
x^2+4x+2^2
we will now convert into the form:
x^2+2ax+a^2=(x+a)^2
substitute the values:
x^2+4x+2^2=(x+2)^2
(x+2)^2-2+2^2
(x+2)^2-2
Part A:
Slope of line is given by vertical distance ÷ horizontal distance
Let (8, 9) be (x₁, y₂) and (-2, 4) be (x₂, y₂)
The vertical distance is y₂ - y₁ = 4 - 9 = -5
The horizontal distance is x₂ - x₁ = -2 - 8 = -10
slope of the line = -5 ÷ -10 = 0.5
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Part B
The point-slope form is given by
(y - y₁) = m (x - x₁)
We have the gradient, m = 0.5
(x₁, y₁) = (8, 9) ⇒ You can also use the other coordinate (-2, 4)
Substitute these value into the form, we have
(y - 9) = 0.5 (x - 8)
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Part C
The slope-intercept form is given by the equation
y = mx + c
Where m is the slope gradient and c is the point where the line intercepts the y-axis. We don't have the value of c at the moment but we can find out by simplifying the equation in part B
y - 9 = 0.5 (x - 8) ⇒ Multiplying out the bracket
y - 9 = 0.5x - 4
y = 0.5x - 4 + 9
y = 0.5x + 5 ⇒ This the slope-intercept form
