Answer:
1.2
Step-by-step explanation:
Gradient = y2-y1/x2-x1
Coordinates = (4,6), (-16,-18)
-18 - 6/-16 - 4
-24/ -20
= 1.2
Hope it helps.
Answer:
a = 4, x = 1
Step-by-step explanation:
The opposite sides of a parallelogram are congruent , then
WX = YZ , that is
a² + 5a = 5a + 16 ( subtract 5a from both sides )
a² = 16 ( take the square root of both sides )
a = ± 
= ± 4
Since a > 0 , then a = 4
Also
XY = WZ , that is
x² + 6x = 4x + 3 ( subtract 4x + 3 from both sides )
x² + 2x - 3 = 0 ← in standard form
(x + 3)(x - 1) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 3 = 0 ⇒ x = - 3
x - 1 = 0 ⇒ x = 1
Since x > 0 , then x = 1
Answer:
2,160
Step-by-step explanation:
598 + 20 = 618
618 + 987 = 1,605
1,605 + 78 = 1,683
1,683 + 90 = 1,773
1,773 + 87 = 1,860
1,860 + 80 = 1,940
1,940 + 60 = 2,000
2000 + 70 = 2,070
2070 + 90 = 2,160
a)
Answer: 0.91 m
Explanation:
We know that,
P.E. = m g h
Where,
P.E = Potential energy
m = Mass of the object
g = acceleration due to gravity (9.8 m/s²)
It is given that, m = 1.5 kg
P.E. = 13.44 J
⇒ 13.44 = 1.5 kg × 9.8 m/s² × h
⇒ h = 0.91 m
Hence, apple sits om 0.91 m tall counter.
b)
Answer: 216 J
Explanation:
P.E. = m g h
Weight, mg = 120 N ( given)
height, h = 1.8 m ( given)
The energy possessed by the suitcase is due to virtue of its position (gravitational potential energy)
P.E. = 120 N × 1.8 m = 216 J
Hence, the energy possessed by the suitcase sitting on the counter is 216 J.
Answer:
By definition, the slope of a vertical line is undefined. Because the value of x is always equal to 4 it is never equal to 0 therefore there is no y-intercept.
Step-by-step explanation:
