The equation is y = -1/3x + 2.
Point Slope Form : y - y1 = m(x - x1)
Given: (0,2) and y = 3x + 2
When the line is perpendicular, flip the slope upside down and make it into its opposite ( - to +).
Slope: -1/3
y - 2 = -1/3(x - 0)
y - 2 = -1/3x + 0
+ 2 + 2
---------------------------
y = -1/3x + 2
Answer:
A) trapezoid a=141 b=69
Step-by-step explanation:
It must be a trapezoid because two of the sids are not parallel. The interior angles of any quadrilateral must equal 360, and each side of a trapezoid must equal 180, so:
A) trapezoid a=141 b=69
The general form of a polynomial is: x² + bx + c = 0. Substituting the roots,
3² + b(3) + c = 0
3b + c = -9 --> eqn 1
(5 + √5)² + (5 +√5)(b) + c = 0
(5+√5)b + c = -30-10√5 --> eqn 2
Solving both equations simultaneously by subtracting eqn 2 from eqn 1,
(-2 - √5)b = 21 + 10√5
b = -8 - √5
Using eqn 1,
3(-8 - √5) + c = -9
-24 - 3√5 + c = -9
c = -9 + 24 + 3√5
c = 15 + 3√5
Hence, the polynomial is: <em>f(x) = x² + (-8 - √5)x + (15 + 3√5)</em>.
9514 1404 393
Answer:
∠1 = ∠3 = ∠5 = ∠7 = 81°
∠2 = ∠4 = ∠6 = 99°
Step-by-step explanation:
Vertical and corresponding angles are congruent. Angles 1 and 99° are supplementary, so ...
∠1 = 180° -99° = 81°
Then we have ...
∠1 = ∠3 = ∠5 = ∠7 = 81°
∠2 = ∠4 = ∠6 = 99°
