Answer:
Step-by-step explanation:
1). Since angles P and Q are supplementary,
m∠P + m∠Q = 180°
(5x + 3)° + (x + 3)° = 180°
6x + 6 = 180
6x = 174
x = 29
Therefore, Option (3) is the answer.
2). If a point P lies in the interior of ∠RST,
m∠RST = m∠RSP + m∠TPS
(Since, line SP is bisector of angle RST)
m∠RST = 40° + 10°
= 50°
Therefore, option (2) is the answer.
3). AB = distance between two points A and B on a number line
= 8 - (-12)
= 8 + 12
= 20
Therefore, length of AB = 20 units.
Answer:
Step-by-step explanation:
In this problem
we have
F(0,5) and directrix at y=-5
so
Is a vertical parabola open upward
we know that
The equation of a vertical parabola in standard form is
where
p is the focal distance
(h,k) is the vertex
we have
The vertex is the origin (0,0)
and
p=5
substitute
Answer:
k^2-8k+12=0D
Step-by-step explanation:
Explanation:
1) Given equation:
k+12/k=8
2) Multiplication property of equality:
k(k+12/k)=8k
3) Distributive property:
k^2+12k/k=8k
4) Simplification:
k^2+12=8k
5) Subtraction property of equality:
k^2-8k+12=0
Answer:
yes well kinda im pretty sure
Step-by-step explanation:
Answer:
(-2, 3) = domain -2 = range 3
(3, -2) = domain 3 = range -2
(1, 3), = domain 1 = range 3
(0, -2) = domain 0 = range -2
Step-by-step explanation:
