Answer:
- Parallel
- Neither parallel nor perpendicular
- Perpendicular
Step-by-step explanation:
<u>Given line m:</u>
<u>Relationship of line m with following lines:</u>
1.<u> y = 4/5x + 3</u>
- Same slope, different y-intercept
- Parallel
2. <u>y = -4/5x + 3</u>
- Slope are negative, different y-intercept
- Neither parallel nor perpendicular
3. <u>y = - 5/4x + 3</u>
- Slopes are negative-reciprocal, different y-intercept
- Perpendicular
1.
a) metres to centimetres :
multiply length by 100
b) metres to millimetres:
multiply length by 1000
c) kilograms to grams:
multiply the mass value by 1000
d) litres to millilitres :
multiply volume by 1000
2.
a) 3 m = 3× 100 = 300 cm
b) 28 cm = 28 × 10 = 280 mm
c) 2.4 km = 2.4 × 1000
= 24 × 10^-1 × 10^3
= 24 × 10^2 =2400 m
d) 485 mm =485 / 10
= 485 / 10 ^1
= 485 × 10 ^-1
= 48.5 cm
e) 35 cm = 35 / 100
= 35 /10^2
= 35 × 10 ^ -2
= 0.35 m
f) 2.4 m = 2.4 / 1000
= 24 × 10 ^-1 / 10^3
= 24 × 10^-1 × 10 ^-3
= 24 × 10 ^ -4
= 0.0024 km
g) 2495 mm = 2495 /1000
= 2495 /10^ 3
= 2495 × 10 ^-3
=2.495 m
Answer:
121
Step-by-step explanation:
Given data as per the question
Standard deviation = 
= 840
Margin of error = E = 150
Confidence level = c = 95%
For 95% confidence, z = 1.96
based on the above information, the minimum number of clients surveyed by the travel agent is
= 120.47
= 121
hence, the 121 number of clients to be surveyed
Therefore we applied the above formula to determine the minimum number of clients
Answer:
P = ( 4y + 6 inches) + ( 8y - B ) inches + ( 5y + 3 ) inches
Step-by-step explanation:
Formula of Perimeter of triangle is = Sum of all sides.
P = A + B + C
Answer:
10x^2 + 14x - 2
Step-by-step explanation:
So for the perimeter, you have to solve 2(7x-2) + 2(5x^2+1)
So distribute the 2s on both s we get 14x - 4 + 10x^2 + 2
This in standard form is 10x^2 + 14x - 2
