Answer: 4a^4 - 11a^3 + 25a^2 - 13a - 5
Explanation:
Check out the attached image below for the box method diagram. It's basically a 3 by 3 box showing all the 9 terms, some of which combine together (only the like terms though).
Each inner box or inner cell is the result of multiplying the outer terms. For example, in row 2, column 2 we have the outer terms -3a and -2a multiply to get 6a^2. Figure 1 shows the full table filled out while figure 2 has that same table highlighted with different colors to show the like terms.
The like terms are:
-15a and 2a, which combine to -13a
20a^2, 6a^2 and -a^2 which combine to 25a^2
-8a^3 and -3a^3 which combine to -11a^3
Those results are added to the other terms but we do not combine them (as they are not like terms). That's how we end up with the final answer. This is a quartic polynomial as the degree (largest exponent) is 4. There are five terms in this polynomial when fully simplified.
Answer: x=-11 x=5
Step-by-step explanation:
<h3>(x+3)^2=72-8</h3><h3>(x+3) (x+3) = 64</h3><h3>x(x+3) +3(x+3) = 64</h3><h3>x^2 +3x+3x+9=64</h3><h3>x^2+6x+9=64</h3><h3>0=x^2+6x+9-64</h3><h3>0=x^2+6x-55</h3>
ok you look for two numbers that will multiply to -55 and also when added or subtracted it will give +6 and those 2 numbers where:
<h3>11*-5= -55 11 -5 =6</h3><h3>0=(x+11) (x-5)</h3><h3>x+11=0 x-5=0</h3><h3>x= -11 x= 5</h3><h3>YOU CAN GRAPH IT ON DESMOS TO FIND YOUR X-INTERCEPTS</h3>
Answer:
Across
Evapotranspiration is the sum of evaporation from plants.
Earth is surrounded by invisible gases that form a thin protective blanket that we call the atmosphere.
Water flows downhill because gravity is a form of potential energy – and the water, or anything that falls or rolls downward – flows in response to differences in potential energy (from high to low). ... Therefore, the potential energy that drives groundwater movement includes both pressure and gravity.
Precipitation: hail, rain, freezing rain, sleet and snow.
Condensation is the opposite of vaporization. Condensation occurs when a gas loses energy, slows in motion so that its cohesive force pulls the molecules close, but the molecules still have enough energy to break away from one connection only to connect with another molecule.
Down
Alternatively evaporation of the liquid should leave a solid residue. ... Dissolving is a reversible process and the solute can be recovered from a solution by evaporation though it will not always be in the exactly the same form as at the start.
Boiling. If a liquid is heated the particles are given more energy and move faster and faster expanding the liquid.
Answer:
a, 14.13. b, 39.25
Step-by-step explanation:
so for a the diameter is 6 so the radius is 3. The equation for the area of the circle is πr2. So 3x3=9. then 9x3.14=28.26. But then we have to divide by two cause we are finding only the shaded area. 28.26/2=14.13.
A is 14.13
for b, its the same thing, so the radiu is 5 and 5x5=25. 25x3.14=78.5, and divide two, so 78.5/2=39.25.
B is 39.25
WARNING: I am not sure this is correct, so if this is wrong i'm sorry, i'm learning too :)
