Answer:
51/9 or 5 2/3
Step-by-step explanation:
First, multiply both sides by b-1 using the distributive property.
6/(b-1)=9/7
6=9(b-1)/7
6=(9b-9)/7 Multiply both sides by 7.
42 = 9b-9 Add 9 to both sides.
51 = 9b Divide both sides by 9.
b = 51/9 or 5 2/3
Since our line is perpendicular to this line, the slope of
our line is the negative reciprocal of 1/4, which is -4/1.
Remember, negative reciprocal is just a fancy way
of saying flip the fraction and change the sign.
So the slope of our line is -4/1 and we use this slope along
with our given point to write the equation of our line.
Start with the point-slope formula.
Y - y1 = m(x - x1).
~Substitute
Y - -2 = -4/1(x - 5).
Minus a negative is plus a positive.
Y + 2 = -4/1x + 20.
Subtract 2 from both sides.
Y = -4/1x + 18
So, our answer is C.
Answer:
137
Step-by-step explanation:
180-43=137
the 180 comes from when you combine angles 1 and 2 (because they form a straight line). you subtract angle 1 and you will get angle 2. since angle 2 and 4 are across from each other, that means they are the same degree. so the answer would be 137
Answer: The vertex is (-3, 2)
The equation y = -4(x + 3)^2 + 2 can be written as y = -4(x - (-3))^2 + 2
I rewrote x+3 as x - (-3)
Compare y = -4(x - (-3))^2 + 2 with the general template y = a(x-h)^2 + k
Note how
a = -4
h = -3
k = 2
So the vertex is (h,k) = (-3, 2)