Answer:
g(f(4)) = 9
Step-by-step explanation:
Fill in gf(x) for where x is in g(x): (x-7)²
Then, fill in 4 for where x is: (4-7)²
Square it: (-3)²
9
Answer:
-2(-2)
Step-by-step explanation:
-2(x--4)2
-2(-4x)2
different sign subtract
-2(-2)
Hope this helps :D
Hint : The product of the slopes of two lines perpendicular to each other is - 1 .
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In slope-intercept ( y = ax + b ) from of the linear equations the coefficient of x is the slope of the line.
Thus :
Slope of line a = - 14
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Suppose that the slope of line b is x according to the Hint we have :
- 14 × x = - 1
negatives simplify
14x = 1
Divide both side by 14
14x ÷ 14 = 1 ÷ 14
x = 1/14
So the slope of line b is 1/14
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Now let's find the equation of line b by point-slope formula using the point question have us ( 2 , 6 ) :
y - y( given point ) = Slope × ( x - x ( g p ) )
y - 6 = 1/14 × ( x - 2 )
y - 6 = 1/14 x - 2/14
y - 6 = 1/14 x - 1/7
Add both sides 6
y - 6 + 6 = 1/14 x - 1/7 + 6
y = 1/14 x - 1/7 + 42/7
y = 1/14 x + 41/7
And we're done ...
Answer:
y = -2x + 3
y = -1/2x + 5
Step-by-step explanation:
- So the best way to solve is to come up with two slopes, I'd prefer 2 perpendicular slopes because perpendicular lines only cross once hence one solution guaranteed
- so say we choose a slopeA = 2 and slopeB = -1/2, the slopes are perpendicular only if when you multiply them you get -1
- then we use the slope intercept form of an equation y = mx + b
- we make up two equations y = -2x + b and y = -1/2x + b , now we can just make up number for b so the two equations are
- y = -2x + 3
- y = -1/2x + 5
- Then we solve them by substituting for y so
- -1/2x + 5 = -2x + 3 and x = -4/3
- and then we put this to get y in either equation
- y = -2(-4/3) + 3
- y = 17/3
- So the equations work
The answer is 3 I hope this helps. please mark me brainliest :)
