The line which is having same y intercept as the line which passes through points (-4,0) and (0,3) is y=2x+3.
Given Points through which the line passes through are (-4,0) and (0,3)
We have to find the equation whose y intercept is equal to the y intercept of the line whose points given above.
First of all we have to find the y intercept of the line which passes through (-4,0) and (0,3). Equation of line is :
y-y1=(y2-y1)/(x2-x1)*(x-x1)
y-0=(3-0)/(0+4) *(x+4)
y=3/4(x+4)
y -intercept exists where x=0
put x=0
y=3
So the options are:
By putting the value of x in all options we will find
y=-4
y=-3
y=3
y=4
So the third option is correct.
Hence the line whose y-intercept matched with the given line is y=2x+3.
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11/4 is improper but I'm not sure about mixed number can you make it more simple to understand?
Answer:
x = 1 and y = -2
Step-by-step explanation:
Given that,
2x-3y = 8 ..(1)
4x+3y = -2 ..(2)
Add equation (1) and (2),
2x-3y+4x+3y = 8+(-2)
6x = 6
x = 1
Put the value of x in equation (1).
2-3y = 8
2-8 = 3y
-6 = 3y
y = -2
Hence, the value of x is 1 and that of y is -2.
Answer:
Step-by-step explanation:
<h3>
Sphere:</h3>
1) a) r = 7 cm
= 4*3.14 * 7 * 7
= 615.44 cm²
b) r= 8.4 cm
Surface area = 4*3.14*8.4*8.4
= 887.04 cm²
<h3>Hemisphere:</h3>
a) r = 6 cm
= 3 * 3.14 * 6 * 6
= 339.12 cm²
Answer:
A) 10.38hours
B) 617.95 is the concerntration of CO
Step-by-step explanation:
A) when x=600
T= 0.0002x^2 - 0.316x + 127.9
T= 0.0002(600)^2 -0.316(600) + 127.9
T= 10.38secs
B) to find the concerntration, use Almighty formular
X=-b+-sqrt(b^2-4ac)/2a
0.0002x^2-0.316x-127.9=9
0.0002x^2 - 0.316x + 118.9=0
X= 0.316 +- sqrt(0.316^2) -4(0.0002×118.9)/(2×0.0002)
X= 0.316+(0.68817/0.0004)=962.05 or
X=-0.316 -0.68817/0.0004 =617.95
Therefore X is within the domain of 617.95 is the concerntration