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Darina [25.2K]
3 years ago
6

Help me plzz with 18-22 thanks

Mathematics
1 answer:
KonstantinChe [14]3 years ago
5 0
-4 your welcome ❤️❤️ndjdkdkdjfnf
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Find all solutions to the following system of equations -y²+6y+x-9=0 ; 6y=x+27.Illustrate with a graph.
Dimas [21]

Answer:

The solution to the system is the pair (9, 6)

Step-by-step explanation:

Hi!

First, let´s write the system of equations:

-y² + 6y + x -9 = 0

6y = x +27

The solutions of the system are the pairs (x, y) that satisfy both equations.

Let´s take the second equation and solve it for x:

6y = x +27

Subtract 27 from both sides of the equation

6y - 27 = x

Now, we can replace x in the first equation and solve it for y:

-y² + 6y + x -9 = 0

-y² + 6y + 6y - 27 -9 = 0

-y² + 12y - 36 = 0

Notice that -y² + 12y - 36 = -(y - 6)², then:

-(y - 6)² = 0

y - 6 = 0

y = 6

(alternatively you can solve the quadratic equation using the quadratic formula).

Now let´s find the value of x:

x = 6y -27

x = 6·6 -27

x = 9

The solution to the system is the pair (9, 6)

Please see the attached figure. The point where the curves intersect is the solution to the system.

6 0
3 years ago
Solve for the value of the variable: 7x+ 10 = 4x + 16<br> Enter the answer
IRISSAK [1]

Step-by-step explanation:

7x + 10 = 4x + 16

3x + 10 = 16 (subtract 4x on both sides)

3x = 6 (subtract 10 on both sides)

x = 2 (divide 3 on both sides)

5 0
3 years ago
Which correctly compares (528 × 65) – 85 and (528 × 65) – 75 without doing any calculations?
OleMash [197]

Answer:

D.

Step-by-step explanation:

I don't actually know I'm guessing.

4 0
3 years ago
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Hannah has a rectangular prism with a length of 7 cm, a width of 2 cm,
weeeeeb [17]

Answer:

Area =136cm²

Area =2(wl+hl+hw)=2·(2·7+6·7+6·2)=136cm²

4 0
3 years ago
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Find the number of ways to partition the numbers 1, 2, . . . , 12 into four sets of three numbers, so that the sum of the number
alukav5142 [94]

Answer:

1 plus 1 equals a

Step-by-step explanation:

6 0
3 years ago
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