For a system of equations such as this, add both of the equations together. The d values will cancel each other out, making 2e=-4. This means that e=-2. If you plug this into one of the equations, you will have d + (-2) = 1. Isolate the variable by adding -2 to both sides: d=3. Written in the format described above (d,e), your answer is (3, -2).
Volume of a quadrangular pyramid=(1/3)bh
b=base
h=height
b=area of the base=area of a square=8.4 ft * 8.4 ft=70.56 ft²
Pythagoras theorem:
hypotenuse²=leg₁² + leg₂²
data:
hypotenuse=9.6 ft
leg₁=height=h
leg₂=8.4 ft /2=4.2 ft
(9.6 ft)²= h² + (4.2 ft)²
92.16 ft²=h²+17.64 ft²
h²=92.16 ft²-17.64 ft²
h²=74.52 ft²
h=√(74.52 ft²)=8.63 ft.
Volume of this quadrangular pyramid=(1/3)(70.56 ft²)(8.63 ft)=202.9 ft³≈202.3 ft³
Answer: ≈202.3 ft³
Answer:
- x^2 -2x +3
- x^2 +2x +3
Step-by-step explanation:
The quotient in each case can be found by any of several means, including synthetic division (possibly the easiest), polynomial long division, or graphing.
1. The graph shows you the quotient is (x-1)^2 +2 = x^2 -2x +3.
2. The graph shows you the quotient is (x+1)^2 +2 = x^2 +2x +3.
Answer:
The farmer will need 7 crates.
Step-by-step explanation:
<em>It is given that there are 71 pumpkins in total.</em>
<em>And each crate holds 19 pumpkins.</em>
Let the number of crates required be<em> "n".</em>
The total number of pumpkins can be calculated by multiplying number of pumpkins in each crate with total number of crates.
Thus, the equation is


Thus, the farmer needs 7 crates to hold total of 71 pumpkins.
To be honest I’m not sure but I believe it’s -7 if there’s anymore information please attach it along with your question