For the equation,
y = 1/2(x+3)^2 -5
The vertice is (-3,-5). Therefore the axis of symmetry is X = -3.
Answer:
x=3, y=1
Step-by-step explanation:
2x+y =7
3x-4y =5
Multiply the first equation by 4 so we can eliminate y
4(2x+y =7)
8x +4y =28
Add this to the second equation
8x +4y =28
3x-4y =5
----------------
11x = 33
Divide by 11
11x/11=33/11
x=3
Now we still need to find y
2x+y=7
2(3)+y =7
6+y=7
Subtract 6 from each side
6-6+y=7-6
y= 1
The equation of the tangent line will be y = -3x + 8.
<h3>What is a linear equation?</h3>
A straight line on the coordinate plane is represented by a linear equation.
A linear equation always has the same and constant slope.
The formula for a linear function is f(x) = ax + b, where a and b are real values.
Given curve
f(x) = x² - 7x + 12
The slope of the tangent equation = the first derivative of a function at that point (2,2).
So,
f'(x) = m = 2x - 7
At (2,2) ⇒ m = -3
Now let's say the equation of tangent
y = mx + c
2 = (-3)2 + c
c = 8
So,
Equation of tangent line on the curve f(x) = x² - 7x + 12 will be y = -3x + 8.
For more about the linear equation,
brainly.com/question/12974594
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Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
2(3x+4)=(2x3x)+(2x4)
2x(3x)=6x
2x4=8
6x+4=10x