Answer:
∠ 2 = 75° , ∠ 1 = 105°
Step-by-step explanation:
∠ 2 and 75° are alternate angles and are congruent , then
∠ 2 = 75°
∠ 1 and ∠ 2 are a linear pair and sum to 180° , that is
∠ 1 + ∠ 2 = 180°
∠ 1 + 75° = 180° ( subtract 75° from both sides )
∠ 1 = 105°
Y=(x-h)^2+k where (h,k) is the vertex
So, equation of new parabola is:
y=(x+1)^2+7
Answer:
B. is your answer
Step-by-step explanation:
First you multiply both sides by "x" and you get
12x - 4 = 3x
now add 4 to both sides and you get
12x = 3x + 4
now subtract "3x" from both sides and you get
9x = 4
divide both sides by 9 and you get
x = 4/9
Answer:
7√2 or approx. 9.89949
Step-by-step explanation:
distance between two points is
d=√(∆x^2+∆y^2)
where...
d is distance
∆x is change in x value
and ∆y is change in y value
In this problem ∆x=(-3)-4=(-7)
∆y=5-(-2)=7
plugging in those values gives us
d=√((-7)^2+7^2)
Solving this expression gives us
d=√(49+49)=√98
After simplifying the radical we are left with 7√2 or about 9.89949.
