Answer:
b² + a² = c²
c² - b² = a²
c² - a² = b²
Step-by-step explanation:
This is because its only addition so 2+2=4 no matter how you turn it around. And 4-2=2 is 2 no matter what.
Answer:
y = –8x – 6 and y = 8x – 6
Step-by-step explanation:
-8x - 6 = 8x - 6
16x = 0
x = 0
y = 8(0) - 6 = -6
The only solution is (0,-6)
Answer:
i-2.4j
Step-by-step explanation:
Given that,
The surface of a mountain is modeled by the equation as follows :
A mountain climber is at the point (500, 300, 4390).
We need to find the direction in which he should move in order to ascend at the greatest rate.
To find direction, first finding the gradient of h as follows :
Now put x = 500 and y = 300
So,
The direction of the climber is i-2.4j
You don't really need the I = prt formula to solve this problem.
Try this:
Let x = amount loaned at 8% and ($12,000 - x) = amount loaned at 18%
Write the equation: (change the percents to decimals: 8% = 0.08 and 18% = 0.18)
(0.08)x + (0.18)($12,000 - x) = $1,000
This expresses the total amount of earned interest in terms of the amounts of the loan, x and ($12,000 - x}.
0.08x + $2,160 - 0.18x = $1,000 Simplify and solve for x.
-0.1x = -$1,160 Divide both sides by -0.1
x = $11.600 The amount loaned at 8% interest.
see if this help
Answer:
Explanation:
You need to use derivatives which is an advanced concept used in calculus.
<u>1. Write the equation for the volume of the cone:</u>
<u />
<u>2. Find the relation between the radius and the height:</u>
- r = diameter/2 = 5m/2 = 2.5m
<u>3. Filling the tank:</u>
Call y the height of water and x the horizontal distance from the axis of symmetry of the cone to the wall for the surface of water, when the cone is being filled.
The ratio x/y is the same r/h
The volume of water inside the cone is:
<u>4. Find the derivative of the volume of water with respect to time:</u>
<u>5. Find x² when the volume of water is 8π m³:</u>
m²
<u>6. Solve for dx/dt:</u>
<u />
<u>7. Find dh/dt:</u>
From y/x = h/r = 2.08:
That is the rate at which the water level is rising when there is 8π m³ of water.