Helppppppppppppppppppp I’ll mark you brainlist don’t respond if you’re going to put something random I will report you :)

Answer:

[tex]y = (x - 3)^2 - 12[/tex]

[tex](3,-12)[/tex]

Step-by-step explanation:

Given

[tex]y = x^2 - 6x - 3[/tex]

Solving (a): In vertex form

The vertex form of an equation is:

[tex]y = a(x - h)^2 + k[/tex]

To do this, we make use of completing the square method.

We have:

[tex]y = x^2 - 6x - 3[/tex]

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Take the coefficient of x (i.e. -6)

Divide by 2; -6/2 = -3

Square it: (-3)^2 = 9

Add and subtract the result to the equation

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[tex]y = x^2 - 6x - 3[/tex]

[tex]y = x^2 - 6x + 9 - 9 - 3[/tex]

[tex]y = x^2 - 6x + 9 - 12[/tex]

Factorize [tex]x^2 - 6x + 9[/tex]

[tex]y = x^2 - 3x-3x + 9 - 12[/tex]

[tex]y = x(x - 3)-3(x - 3) - 12[/tex]

Factor out x - 3

[tex]y = (x - 3)(x - 3) - 12[/tex]

Express as squares

[tex]y = (x - 3)^2 - 12[/tex]

Hence, the vertex form of [tex]y = x^2 - 6x - 3[/tex] is: [tex]y = (x - 3)^2 - 12[/tex]

Solving (b): State the coordinates of the vertex.

In [tex]y = a(x - h)^2 + k[/tex]; the vertex is: (h,k)

The vertex of [tex]y = (x - 3)^2 - 12[/tex] will be [tex](3,-12)[/tex]

Answer:

x=3

Step-by-step explanation:

15/x=10/2

Simplifying the right side

15/x = 5

Multiply each side by x

15/x *x = 5x

15 = 5x

Divide each side by 5

15/5 = 5x/5

3 =x

Answer:

-2 degrees per hour

Step-by-step explanation:

Answer:

-2 degrees per hr

Step-by-step explanation:

Answer:

A(7,4)

Step-by-step explanation:

-2/3 is the slope and the slope is the rise over the run, and we know it passes through the point (1,8).

Next, we can create a chart/table

X int-1+3=4, 4+3=7

Y int-8-2=6,6-2=4

1st point: (4,6)

2nd point: (7,4)

Hope I helped, have a nice day :)

Answer:

I think the answer is C.

Step-by-step explanation:

The law of exponents states that when you divide the same base you subtract the exponents.

Answer:

50

Step-by-step explanation:

90-30=60

x + 10 = 60

-10

x = 60-10

x = 50

Answer:

Step-by-step explanation:

cost of 8 pencils=16

cost of 1 pencil=16/8

=Rs 2

cost of 5 pencil=5*2

=Rs 10

Answer:

1.3

Step-by-step explanation:

Answer:

x = 9

Step-by-step explanation:

These are alternate exterior angles and alternate exterior angles are equal if m is parallel to n

6x+5 = 7x-4

Subtract 6x from each side

6x -6x+5 = 7x-6x-4

5 = x -4

Add 4 to each side

5+4 =x-4+4

9 =x

Step-by-step explanation:

using the formula or so there a²+ b²= c²

so 18² + 80²= 82²

Answer:

Step-by-step explanation:

x^2+5x+6

=x^2+(3+2)x+6

=x^2+3x+2x+6

=x(x+3)+2(x+3)

=(x+3)(x+2)

Answer:

Step-by-step explanation:

z^2+9z+20

=z^2+(5+4)z+20

=z^2+5z+4z+20

=z(z+5)+4(z+5)

=(z+5)(z+4)

Answer:

x=2

y=1

Step-by-step explanation:

2x+y=5

3x+2y= 8

<=> 6x+3y=15

6x+4y=16

<=> -y=-1

2x+y=5

<=> y=1

2x+1=5

<=> y=1

2x=4

<=> y=1

x=2

9514 1404 393

Answer:

  (x, y) = (12, -12)

Step-by-step explanation:

The two equations can be added to solve for x.

  (-5x -5y) +(6x +5y) = (0) +(12)

  x = 12 . . . . . . . . simplify

  -5(12) -5(y) = 0 . . . substitute into the first equation

  12 +y = 0 . . . . . . . divide by -5

  y = -12 . . . . . . . . subtract 12

The solution is (x, y) = (12, -12).

Answer:

Top row: 3,6,9,12,15

Bottom row: 5,10,15,20,25

Step-by-step explanation:

As ordered pairs/ratio form:

3:5, 6:10, 9:15, 12:20, 15:25

Answer:

X=4

Step-by-step explanation:

(2x-5)+(4x-1)=7x-10

2x-5+4x-1=7x-10

6x-6=7x-10

6x=7x-4

x=4

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Explanation:

y = 5 because the long leg is exactly sqrt(3) times that of the short leg.

The short leg is always opposite the 30 degree angle.

The hypotenuse x is twice that of y, so x = 2y = 2*5 = 10

All of these rules only apply to 30-60-90 triangles. You can use trig ratios as an alternative route.

Answer:

32

Step-by-step explanation:

Answer:

1237t - 289

Step-by-step explanation:

Answer:

[tex]a_{n}[/tex] = - 3n - 3

Step-by-step explanation:

The nth term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = - 6 and d = a₂ - a₁ = - 9 - (- 6) = - 9 + 6 = - 3 , then

[tex]a_{n}[/tex] = - 6 - 3(n - 1) = - 6 - 3n + 3 = - 3n - 3

Answer: The quotient is 67 the remainder is 2

Answer:

No

Step-by-step explanation:

Think of the archway as a semicircle with a radius of 28/2 = 14

The diagonal of the truck is like the hypotenuse of a right triangle with legs of 7 and 13

c² = a² + b²

c² = 7² + 13²

c² = 49 + 169

c² = 218

c = 14.76

Since the diagonal of the truck is greater than the radius of the arch the truck will NOT pass without damage

Answer:

(-3, 4)

Step-by-step explanation:

let the point P(x, y)

x = (5/7 × (-1+8)) + (-8)

= (5/7 × 7) -8 = 5-8 = -3

y = (5/7 × (8+6)) + (-6)

= (5/7 × 14) -6 = 10-6 = 4

so, P => (-3 , 4)

[tex]\\ \rm\Rrightarrow M(x,y)[/tex]

[tex]\\ \rm\Rrightarrow\left(\dfrac{mx_2+nx_1}{m+n},\dfrac{my_2+ny_1}{m+n}\right)[/tex]

[tex]\\ \rm\Rrightarrow\left(\dfrac{-5-16}{7},\dfrac{40-12}{7}\right)[/tex]

[tex]\\ \rm\Rrightarrow\left(\dfrac{-21}{7},\dfrac{28}{7}\right)[/tex]

[tex]\\ \rm\Rrightarrow(-3,4)[/tex]

Answer:

1/2

Step-by-step explanation:

it is closet to a 1/2

Answer:

-3 • (21d + 25)

Step-by-step explanation:

Answer:n

Step-by-step explanation: