The slope of the given line is found from the coefficient of x after dividing the equation by 2.
.. y = -3x +4
The given line has slope -3.
A perpendicular line will have a slope that is the negative reciprocal of this:
.. -1/(-3) = 1/3
This corresponds to your 3rd choice.
Step-by-step explanation:
y2+4y+1=0. where, y=-2
(-2)2+4(-2)+1
-4-8+1=0
-12+1=0
-11=0
PART A
Volume = Area of a triangle base x height (..or length)
Volume = 2,400cm^3
Volume = 1/2(16)(h)(20)
2,400cm^3=1/2(16)(h)(20)
2/400cm^3/160 = 160(h)/160
Part A= 15cm^3=height of the box
PART B
Surface Area = 1/2(15*16)(2)+20(17)(2)+16(20)
Surface Area = 240+680+320
Surface Area = 1,240
Part B = You will need approximately 1,240cm of cardboard.
Answer:
CR = 17 ; PR = 30
Step-by-step explanation:
From the problem hypothesis we know that CD⊥PR or CQ⊥PR(perpendicular) and ∡PCQ ≡∡RCQ (bisector)
so ∡PCQ≡∡RCQ
[CQ]≡[CQ] (common side)
CQ⊥PR
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⇒(cathetus - angle case of congruence)⇒ ΔPQC≡ΔRQC so [PQ]≡[QR] (=15) // PR = PQ+QR ⇒ PR=30
from this congruence ⇒ΔPRC = isosceles so PC=CR=17
Hint: in any triangle is bisector of an angle it is perpendicular on the opposite side then triangle is isosceles.
