A) y = 2x -4
B) x + 2y = 12
A) -2x + y = -4 then multiplying Equation B by 2
B) 2x + 4y = 24
Adding the equations
5y = 20
y = 4
x = 4
Okay, that was solved by elimination.
If these equations were graphed, they would be two lines that would meet at the point (4, 4)
Answer:
1 inches per cube
As required.
Step-by-step explanation:
Solution:
Given:
Volume = l3
dV / dt = 3 l2dl / dt
dv / dt = 0.5 inches cubed / hour
Surface area = 6 l2
Differentiate with respect to t: s = 6 l2
We get:
ds / dt = 12 l dl / dt
and dv / dt = = 0.5 inches cubed / hour
we know that:
dv / dt = 20 = 3 l2dl / dt
0.5 = 3 l2 (dl / dv)(dv / dt)
0.5 = 3l2 dl / dt
0.5 / 3l2 = dl / dt
Put 0.5 / 3l2 = dl / dt in eq ds / dt = 12 l dl / dt
ds / dt = 12 l (0.5 / 3l2)
= 4(0.5) / l
= 2 / 2 inches pr cube [ l = 2 inches per cube]
= 1 inches per cube
As required.
<h2>
Answer:</h2>
<u>The length is</u><u> 250 meters</u>
<h2>
Step-by-step explanation:</h2>
If we look at the left corner of the diagram we see a scale. According to the scale factor of the map
1 cm :1000 cm
The length of the lap on the map is 25 cm
So (25 × 1000) = 25000 cm
Since
1 meter = 100 centimeter
So the actual length of the lap = 25000 ÷ 100 = 250 meters
Answer:
-2
Step-by-step explanation:
We can use the slope formula
m = ( y2-y1)/(x2-x1)
= ( 8 -2)/(-4- -1)
= (8-2)/(-4+1)
= 6/-3
= -2
Answer:
Step-by-step explanation: