Hello,
y-3x=2==>x=(y-2)/3
==>(x+1)²=((y-2)/3+1)²=(y+1)²/9
y=(x+1)²-5
==>y=(y²+2y1)/9 -5
==>y²-7y-44=0 ; Δ=7²+4*44=225=15²
==>y=(7+15)/2 or y=(7-15)/2
==>y =11 and x=(11-2)/3=3
or y=-4 and x=(-4-2)/3=-2
sol={(3,11);(-2,-4)}
The nearest whole number rounds to 6
The nearest tenth rounds to 5.70
The nearest hundredth rounds to 5.70
Answer:
m<BAC = 34
Step-by-step explanation:
It is given that (<BOC) is a central angle with a degree measure of (68). A central angle is an angle whose vertex is the center of the circle. (<BAC) is an inscribed angle, an angle whose vertex is on the circumference (perimeter) of the circle. Arc (BC) connects the ends of both of these angles.
The central angle theorem states that the measure of the central angle is equivalent to its surrounding arc. Using this theorem, one can state the following,
m<BOC = BC = 68
The inscribe angle theorem states that the measure of the arc surrounding the inscribed angle is twice the measure of the inscribed angle. Applying this theorem, one can state the following,
2(m<BAC) = (BC)
2 (m<BAC) = 68
m<BAC = 34
Sin A=Cos (90º-A)
Then:
sin 30º=cos (90º-30º)=Cos 60º=1/2
Answer: cos 60º=1/2
Answer:
c = -5 and d = 1
Step-by-step explanation:
First, multiply out (cy^2)(4y^d). We get: 4cy^(2+d).
We equate this result to the right side of the equation: - 20y^3.
Then, equating the exponents and solving for d, we get: 2 + d = 3, or d = 1.
Equating the coefficients, we get 4c = -20, or c = -5.
