Answer:
<h2>
2x + 3y = 33 </h2>
Step-by-step explanation:
As we move from (-2, 5) to (1, 3), x increases by 3 and y decreases by 2.
Hence, the slope of this line is m = rise / run = -2/3.
Start with the slope-intercept form y = mx + b.
Substitute 3 for y and 1 for x and -2/3 for m:
3 = (-2/3)(1) + b.
Remove fractions by mult. all three terms by 3:
9 = -2 + b, so b = 11, and y = (-2/3)x + 11
Again, mult. all three terms by 3:
3y = -2x + 33, or, in standard form,
<h2>
2x + 3y = 33 </h2>
Answer:
Volume of the cylinder = 
Step-by-step explanation:
Height of the Cylinder(h)=5 units
Radius(r)=2 units
Volume of a cylinder=
Putting the values in the formula;
Volume of the cylinder 
As,
Volume of the cylinder=
The Volume of the cylinder is 
Answer:
134
Step-by-step explanation:
This equation follows y=mx+b
y = output
x = input
(In this case) 8 = slope
(In this case) 134 = y-intercept
the complete question is
If we add 5 to the denominator And subtract 5 from the numerator of a fraction ot reduces to 1/7. if we subtract 3 from the numerator and add 3 to its denominator ot reduces to 1/3. find the fraction.
Let
x/y-----------> the fraction
we know that
(x-5)/(y+5)=1/7------>7*(x-5)=(y+5)-----> y=7x-35-5----> y=7x-40----> equation 1
(x-3)/(y+3)=1/3----> 3*(x-3)=y+3----> y=3x-9-3----> y=3x-12------> equation 2
equate equation 1 and equation 2
7x-40=3x-12-----> 7x-3x=40-12------> 4x=28-----> x=7
y=3x-12------> y=3*7-12-----> y=9
x/y=7/9
the answer is
the fraction is 7/9
Answer:
Here is ur answer.
Step-by-step explanation: