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3 years ago

6k+(3•10-8)=(3•3)k+22

Mathematics

1 answer:

insens350 [35]3 years ago

3 0

Here is the work and answer

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Please help me I need help please

MakcuM [25]

Answer:

p = 4

Step-by-step explanation:

Given equation:

$x^2+(p-3)y^2-4x+6y-16=0$

Standard equation of a circle:

$(x-a)^2+(y-b)^2=r^2$

(where $(a,b)$ is the centre of the circle, and $r$ is the radius)

If you expand this equation, you will see that the coefficient of $y^2$ is always one.

Therefore, $p-3=1$

$\implies p=1+3=4$

Additional information

To rewrite the given equation in the standard form:

$\implies x^2+y^2-4x+6y-16=0$

$\implies x^2-4x+y^2+6y=16$

$\implies (x-2)^2-4+(y+3)^2-9=16$

$\implies (x-2)^2+(y+3)^2=16+4+9$

$\implies (x-2)^2+(y+3)^2=29$

So this is a circle with centre (2, -3) and radius √29

3 0

2 years ago

Evaluate the quadratic function, f(x) = 3x2 – 4x – 9 at x = -2

nordsb [41]

Answer:

Step-by-step explanation:

f(x) = 3x^2 – 4x – 9

Let x = -2

f(-2) = 3 (-2)^2 -4(-2) -9

=3(4) +8 -9

=12 +8 -9

20-9

3 0

3 years ago

So I could do my homework in this app?

Bess [88]

Yes its awesome because it helps alot on everything litterly

7 0

3 years ago

Tia’s tent is in the form of a triangular prism as shown below if Tia plans to waterproof the tent excluding the pace what is th

Marat540 [252]

just multiple it all together

7 0

3 years ago

What is the area of the composite figure? ___ units^2

elena-14-01-66 [18.8K]

Answer:

34 square units

Step-by-step explanation:

The figure can be considered to be a trapezoid with a rectangle removed.

The area of the trapezoid is ...

A = (1/2)(b1 +b2)h

A = (1/2)(10 +6)(5) = 40

The area of the rectangle is ...

A = LW

A = (3)(2) = 6

Then the area of the shaded portion of the figure is ...

shaded area = trapezoid area - rectangle area

= 40 - 6 = 34 . . . square units

7 0

3 years ago