Answer:
1. 2.6
2. 29.1
3. 2490
4 3.4
Step-by-step explanation:
First we should get the slope.
m=y2 -y1/x2-x1
=2-1/2-0
=1/2
y=m(x-x1) +y1
=1/2(x-0) +1
=1/2x+1
Answer:
Step-by-step explanation:
22 liters of petrol to travel 259.6 km
1litres will travel 259.6/22 km
1litres will travel 11.8km
:2013.2km needs 2013.2/11.8litre
:2013.2km needs 170.61litres
And 1 liter of petrol costs $ 1.99
So 742.88 litres will cost $1.99×170.61
= $339.51
Answer:
Solution
p = {-3, 1}
Step-by-step explanation:
Simplifying
p2 + 2p + -3 = 0
Reorder the terms:
-3 + 2p + p2 = 0
Solving
-3 + 2p + p2 = 0
Solving for variable 'p'.
Factor a trinomial.
(-3 + -1p)(1 + -1p) = 0
Subproblem 1
Set the factor '(-3 + -1p)' equal to zero and attempt to solve:
Simplifying
-3 + -1p = 0
Solving
-3 + -1p = 0
Move all terms containing p to the left, all other terms to the right.
Add '3' to each side of the equation.
-3 + 3 + -1p = 0 + 3
Combine like terms: -3 + 3 = 0
0 + -1p = 0 + 3
-1p = 0 + 3
Combine like terms: 0 + 3 = 3
-1p = 3
Divide each side by '-1'.
p = -3
Simplifying
p = -3
Subproblem 2
Set the factor '(1 + -1p)' equal to zero and attempt to solve:
Simplifying
1 + -1p = 0
Solving
1 + -1p = 0
Move all terms containing p to the left, all other terms to the right.
Add '-1' to each side of the equation.
1 + -1 + -1p = 0 + -1
Combine like terms: 1 + -1 = 0
0 + -1p = 0 + -1
-1p = 0 + -1
Combine like terms: 0 + -1 = -1
-1p = -1
Divide each side by '-1'.
p = 1
Simplifying
p = 1
Solution
p = {-3, 1}
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