3x + 4y = 16
-4x - 3y = -19
4( 3x + 4y = 16)
3( -4x - 3y = -19)
Distribute
12x + 16y = 64
-12x - 9y = -57
Now subtract both equations
7y = 7
/7 on both sides
y = 1
Substitute y = 1 in one of the equations.
3x + 4y = 16
3x + 4(1) = 16
-4 on both sides
3x = 12
/3 on both sides
x = 4
Answer:
x = 4
y = 1
Answer:
2m+12
Step-by-step explanation:
add like terms
2m+12
Two.
b1 = - 4 + sqrt(19), b2 = - 4 - sqrt(19)
9514 1404 393
Answer:
k ≈ -0.06729
Step-by-step explanation:
The initial temperature difference is 85 -36 = 49 degrees. After 5 minutes, the temperature difference is 71 -36 = 35 degrees. The constant k is the natural log of the ratio of these temperature differences, divided by the time unit.
k = ln(35/49)/5 ≈ -0.06729
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The equation for the temperature T of the can in the refrigerator is ...
T = 49e^(-0.06729t) +36
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<em>Additional comment</em>
Be careful with the sign. If you're filling in k in e^(-kt), then the sign of k will be positive. Above, we have taken the form of the exponential term to be e^(kt), so k is negative.
The point-slope form of the equation of the line through the given points through: (-3,-1) and (-2,5) is y + 1 = 6x + 18
<u>Solution:</u>
Given, two points are (-3, -1) and (-2, 5)
We have to find that a line that passes through the given two points.
First let us find the slope of the line that passes through given two points.
<em><u>The slope of line "m" is given as:</u></em>
Now, let us find the line equation using point slope form
where m is slope
Hence the point slope form is y + 1 = 6x + 18
