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kobusy [5.1K]
3 years ago
8

Factorize 2x²-xy-y²-3x-6y-9 equals 0

Mathematics
1 answer:
amm18123 years ago
6 0

Answer:

(x - y - 3)(x + 1/2 y + 3/2) = 0

or  (x - y - 3)(2x + y + 3) = 0

Step-by-step explanation:

see attached for step-by-step

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1)The base of a triangular prism is a right triangle with a base of 20 feet and a height of 120 inches. The height of the prism
ivanzaharov [21]

Answer:

(1)750 cubic feet

(2)8 Times

Step-by-step explanation:

<u>Question 1</u>

<u>Dimensions of the Right Triangular Base</u>

  • Base = 20 feet
  • Height= 120 inches = 10 feet

Base Area of the Prism

=\dfrac12 \times 20 \times 10\\=150$ square feet

  • Height of the Prism = 5 feet

Volume of the Prism = Base Area X Height

= 150 X 5

=750 cubic feet

<u>Question 2</u>

<u>Jake's Box</u>

  • Length: 12 inches
  • Width: 4 inches
  • Height: 8 inches

Volume = 12 X 4 X 8 =384 cubic inches

<u>Havana's box</u>

Havana has a shipping box similar to Jake's box, but each dimension is half as long.

Therefore:

  • Length: 12/2=6 inches
  • Width: 4/2=2 inches
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Volume = 6 X 2 X 4 =48 cubic inches

Now:

384/48=8

Therefore, the volume of Jake's box is 8 times larger than Havana's box.

6 0
4 years ago
out of 30 students surveyed 17 have a dog based on these results predict how many of the 300 students in the school have a dog
Ira Lisetskai [31]
The whole school would have 170 students that have a dog
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Solve the following system of equations<br><br> Y=5x+4<br> Y=x2+3x-4
tia_tia [17]

Answer:  the following system of equations  has 2 solutions

x1=4

X2=-2

Step-by-step explanation:

5*x+4=x²+3*x-4

x²-2*x-8=0

x12=(2+/-√4+4*1*8)/2

x12=(2+/-√36)/2

x1=(2+6)/2=4

x2=(2-6)/2=-2

6 0
4 years ago
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