Answer:
C) y = 2x +8
Equation of the straight line passing through the point (-2,4) and having slope m =2
y = 2x +8
Step-by-step explanation:
<em>Step(i):-</em>
<em>Given that the points are (-2,4) and (6,20)</em>
<em>The slope of the line</em>
<em> m = </em><em></em>
<em> m =2</em>
<u><em>Step(ii):-</em></u>
Equation of the straight line passing through the point (-2,4) and having slope m =2
y - 4 = 2( x-(-2))
y = 4 + 2x +4
y = 2x +8
Answer:
14cm (i think)
Step-by-step explanation:
8cm= one part
6cm= the other
since there is no curve just add them together
6+8=14
Answer:
A (-64)
Step-by-step explanation:
tell me if you want an explanation!!
Answer:
dh=30.25 cm/sec
Step-by-step explanation:
1. the first recommend step is to make a sketch of the situation. We draw the triangle representing the pyramid and we label the sides. (as the picture attached)
2. What we need to find is the change of the height of the water with respect the time (dh/dt), so we need to find an equation that allow us to find that. We start with the equation of the volume of the pyramid which is . To find (dh/dt) it is necessary to take the derivative of this equation, however, the equation involves two variables (b and h). We only can derive if the equation is in terms of only one variable. therefore, we need to find another equation to do this.
3. Applying ratios of triangle, we can find and expression that relates b with h. To apply this ratio, it is necessary to split the triangle drawn in step 1, so we will form a right triangle. To apply the ratio of triangle we follow the next formula:
Where the subscript 1 is referring to the triangle 1 and the 2 to the triangle 2.
Replacing the values and isolating "b" we get...
4. Now we can replace the equation 2 into 1 and we get the volume of the pyramid in terms of only one variable (h)
5. Take the derivative of the last equation
6. isolate dh (dh is what we need to find, dh means how the height changes with respect the time)
The exponent for 50,000,000 is 6 because if you multiplied 10 6 times which equals a million so million times 5 equals 50,000,000