Answer:
y = -³/2x + 3
Step-by-step explanation:
To find the equation of the line in slope-intercept form, y = mx + b, we need to finder the slope (m) and the y-intercept (b).
✔️Slope (m) = ∆y/∆x
Using two points on the line, (0, 3) and (2, 0),
Slope = (0 - 3)/(2 - 0) = -3/2
Slope (m) = -³/2
✔️y-intercept (b) = 3 (this is the y-cooordinate of the point where the line intercepts the y-axis)
✔️To write the equation, substitute m = -³/2 and b = 3 into y = mx + b
This:
y = -³/2x + 3
Hey there!
4(u + 5) - 2u
DISTRIBUTE 4 WITHIN the PARENTHESES
= 4(u) + 4(5) - 2u
= 4u + 20 - 2u
COMBINE the LIKE TERMS
= (4u - 2u) + (20)
= 4u - 2u + 20
= 2u + 20
Therefore, your answer is: 2u + 20
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
So with this, we will be using proportions. To solve for x, our proportion will be 
Firstly, cross-multiply: 
Next, subtract 36 on both sides: 
Next, replace -9x with 3x-12x 
Next, factor x^2+3x and -12x-36 separately:
. After, rewrite it as 
Next, solve for x separately in the two parentheses:


Since we can't have a negative length, x = 12.
To solve for y, our proportion will be 
Firstly, cross-multiply: 
Next, just square root each side, and your answer will be (rounded to hundredths) 
In short, x = 12 and y = 10.39.
Answer:
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Step-by-step explanation:
Hello,
g(x)=x²-6x+14=x²-2*3x+9+14-9=(x-3)²+5
h=3, k=5