<span>y=(4/9)x-2
This is in slope intercept form (y=mx+b), where m is the slope.
A perpendicular line will have the opposite reciprocal of the slope.
So if the slope here is 4/9, then the perpendicular line's slope will be -9/4.
Now that you have the slope (-9/4) and a point (4, 3), you can use the point-slope formula to find the equation.
y - y</span>₁ = m(x - x₁)
y - 3 = (-9/4)(x - 4)
y - 3 = (-9/4)x + 9
y = (-9/4)x + 12
So the answer will be:
C. <span>y= -(9/4)x+12</span>
Answer:
8y^2 (y+2)
Step-by-step explanation:
8y^3 + 16y^2
both terms contain an 8 and a y^2 so we can factor them out
8y^2 (y+2)
Answer:
1 y=-1/10x
2 y=-x-8
3 y= 7/3x or 2 1/3x
Step-by-step explanation:
1 -x=10y
divide -x and 10 by 10
2 y+8=-x
subtract 8
3 -4+7x+4=3y
divide everything by 3
Answer:
see below
Step-by-step explanation:
exponent to log:
= c ---> logₐc = b
ie. question 6
log ₁₀(3x+1) = 2 -----> 
that will get you through questions 1 to 3, 5 to 6, and 8
in question 4, all you have to do is know that 2^2 = 4 and 2^3 = 8, by setting the bases equal, you can manipulate the exponents to get 2x+8 = 3x-3
for questions 7 and 9,
remember that:
logₐc + logₐd = logₐ(cd)
logₐc - logₐd = logₐ(
)
remember change of base is
, this will be useful if you need your calculator since calculators only have base 10 and maybe if your calculator is good enough natural base e