Answer:
Step-by-step explanation:
<em>Parallel</em><em> </em><em>Equations</em><em> </em>have SIMILAR <em>RATE OF</em><em> </em><em>CHANGES</em><em> </em>[<em>SLOPES</em>], so keep as is and do this:
14 = −4⁄3[6] + b
14 = −8 + b
+ 8 + 8
_________
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Answer:
adjust city gallons to 3 gallons and freeway to 7 gallons
make your line in the chart:
3 | 10-3 = 7 | 3(25) = 75 | 7(40) = 280 | 75 =280 =355 | 355 | yes
Step-by-step explanation:
x = city gallons
y = freeway gallons
x+y = 10 then y = 10-x
25x+40y = 355
substitute for y
25x+40(10-x) = 355
25x+400-40x = 355
-15x+400 = 355
subtract 400 from each side
-15x = -45
divide both sides by -15
-15x/-15 = -45/-15
x = 3 gallons
y = 7 gallons
Answer:
Lateral areas have ratio of 4:1
Volumes have ratio of 8:1
Step-by-step explanation:
There is a rule in 3D geometry that when two solids are similar, and their edges are in the ratio of , the ratio of any surface area type measure is always this includes the lateral area, which is just a surface area minus the base, which is not important for this problem. The ratio of volumes of those similar solids is in the ratio of .
Now, to solve this, we need to find the ratio of any corresponding length of these similar pyramids. We have both the heights, so if we form a ratio of which if you simplify it, it is , which is . The ratio of the heights are .
Now we can apply those rules to this ratio, the ratio of lateral areas would then be , which is . the ratio of volumes would be , which is
Answer:
7) 38.5mi 8) 9ft
Step-by-step explanation:
7) 7 x 11 = 77
77/2 = 38.5
8) 3 x 3 = 9
The value at point ( 1, 1 ) is 8.
<u>Explanation:</u>
Given
3y³ = 2x⁹ + 1
y³ = 2/3x⁹ + 1/3
y = ∛2/3 x⁹ + 1/3
We need to first find dy/dx which is the first derivative and then d²y/dx² which is the second derivative
Put the value of (1,1) : x = 1 and y = 1 in d²y/dx² equation
Therefore, the value is 8.