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Delvig [45]
3 years ago
10

Question 2(Multiple Choice Worth 4 points)

Mathematics
1 answer:
fredd [130]3 years ago
8 0
1/2 x 11 x 77=38.5 square feet
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Can someone plz help me with this!
asambeis [7]

Answer:

(arranged from top to bottom)

System #3, where x=6

System #1, where x=4

System #7, where x=3

System #5, where x=2

System #2, where x=1

Step-by-step explanation:

System #1: x=4

2x+y=10\\x-3y=-2

To solve, start by isolating your first equation for y.

2x+y=10\\y=-2x+10

Now, plug this value of y into your second equation.

x-3(-2x+10)=-2\\x+6x-30=-2\\7x=28\\x=4

System #2: x=1

x+2y=5\\2x+y=4

Isolate your second equation for y.

2x+y=4\\y=-2x+4

Plug this value of y into your first equation.

x+2(-2x+4)=5\\x+(-4x)+8=5\\x-4x+8=5\\-3x=-3\\x=1

System #3: x=6

5x+y=33\\x=18-4y

Isolate your first equation for y.

5x+y=33\\y=-5x+33

Plug this value of y into your second equation.

x=18-4(-5x+33)\\x=18+20x-132\\-19x=-114\\x=6

System #4: all real numbers (not included in your diagram)

y=13-2x\\8x+4y=52

Plug your value of y into your second equation.

8x+4(13-2x)=52\\8x+52-8x=52\\0=0

<em>all real numbers are solutions</em>

System #5: x=2

x+3y=5\\6x-y=11

Isolate your second equation for y.

6x-y=11\\-y=-6x+11\\y=6x-11

Plug in your value of y to your first equation.

x+3(6x-11)=5\\x+18x-33=5\\19x=38\\x=2

System #6: no solution (not included in your diagram)

2x+y=10\\-6x-3y=-2

Isolate your first equation for y.

2x+y=10\\y=-2x+10

Plug your value of y into your second equation.

-6x-3(-2x+10)=-2\\-6x+6x-30=-2\\-30=-2

<em>no solution</em>

System #7: x=3

y=10+x\\2x+3y=45

Plug your value of y into your second equation.

2x+3(10+x)=45\\2x+30+3x=45\\5x=15\\x=3

3 0
3 years ago
Which binomial is a factor of the following quadratic? K2-12k+36
Nitella [24]

9514 1404 393

Answer:

  (k -6)

Step-by-step explanation:

The given quadratic is a perfect square, so has one repeated binomial factor:

  k^2 -12k +36 = (k -6)^2

5 0
3 years ago
Read 2 more answers
Can somebody help me figure out this problem I confused
tia_tia [17]
He would have missed 2 shots
8 0
3 years ago
Read 2 more answers
a rectangular swimming pool is 25 feet long anf 12 feet wide. it is surrounded by a fence that is h feet from each side of a poo
timurjin [86]

The length of rectangular swimming pool = 25 feet

The width of the swimming pool = 12 feet

The pool is surrounded by a fence which is h feet from each side

So, length of fence becomes = 25+2h

Width of fence becomes = 12+2h

The expression for the length of the fence is 25+2h feet

2h because 'h' increases for both ends of the length of the pool.

5 0
3 years ago
Twelve less than seven times a number is 16
Anna11 [10]
4 would be the only possible answer bc 7 x 4 = 28 and 28 - 12 = 16.
8 0
3 years ago
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