3 years ago

MULTIPLE CHOICE QUESTION

Mathematics

1 answer:

inn [45]3 years ago

3 0

Answer

are you answering this your self?

Step-by-step explanation:

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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

Genni has a rectangular garden with a length of 3x+4 and a width of 6x-10.

Nitella [24]

Answer:

equation in terms of x is 18x - 12

x = 3

area = 104 sq. feet

you want only the ans right?

if you need explaination comment down.

GOOD LUCK FOR THE FUTURE! :)

3 0

3 years ago

Read 2 more answers

3.a. Nikki buys 1 kg of oranges. She wants to choose the better discount. Which should she

zhenek [66]

Answer:

I'm pretty sure is the $0.40

7 0

3 years ago

Use the zero product property to find the solutions to the equation x2 – x – 6 = 0.

Ahat [919]

we know that

The Zero Product Property states that if $a*b = 0$ , then either $a = 0$ or $b = 0$ (or both)

we have

$x^{2} -x-6=0$

rewrite the expression

$x^{2} -x-6=(x+3)(x-2)$

$(x+3)(x-2)=0$

$(x+3)=0\\x=-3$

$(x-2)=0\\x=2$

therefore

the answer is the option

x = –3 or x = 2

3 0

3 years ago

Read 2 more answers

Solving an equation can be thought of as... Question 5 options: Undoing the equation by going backwards to solve for the variabl

goldfiish [28.3K]

Completing order of operations is the correct answer.

8 0

3 years ago