Answer:

Step-by-step explanation:
Given
m cups of water = p cups of rice
Required
Cups of water required for p + 2 cups of rice
<em>The question shows a direct proportion between cups of rice and cups of water.</em>
<em>So, the first step is to get the proportionality constant (k)</em>
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This is calculated using the following expression;

Where k represents cups of water and p represents cups of rice
Make k the subject of formula

Let x represents cups of water when cups of rice becomes p + 2;
k becomes:

Equate both expressions of k; to give

Multiply both sides by p + 2




<em>Hence, the expression that represents the cups of water needed is </em>
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We do not see a graph above
Answer:
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Step-by-step explanation:
get the equation in slope intercept form
2x-3y=9
subtract 2x from each side
-3y = -2x +9
divide by -3
y = 2/3 x -3
slope = 2/3
y intercept = -3
x intercept set y=0 and solve
0 = 2/3 x -3
add 3 to each side
3 = 2/3 x
multiply each side by 3/2
9/2 = x
the x intercept is 9/2 or 4 1/2
Answer:
see explanation
Step-by-step explanation:
(1)
The sum of the 3 angles in a triangle = 180° , thus
a + b + c = 180
(2)
adjacent angles are supplementary, thus
b + d = 180
(3)
From (1) and (2)
b + d = a + b + c ( subtract b from both sides )
d = a + c