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3 years ago

Write a circle equation for it help please

Mathematics

1 answer:

melomori [17]3 years ago

5 0

Answer:

(x + 2)² + (y - 4)² = 16

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

Here (h, k ) = (- 2, 4 ) and r = 4 , then

(x - (- 2))² + (y - 4)² = 4² , that is

(x + 2)² + (y - 4)² = 16

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Determine the constant that should be added to the binomial so that it becomes a perfect square trinomial. Then write and factor

Nesterboy [21]

Answer:

$64, \ (x+8)^2$

Step-by-step explanation:

A perfect square trinomial is defined as an expression that is obtained from squaring a binomial equation. The perfect square trinomial is in the form of $ax^2+bx+c$ .

The given expression is :

$x^2+16x$

The co-efficient of the x-term in $x^2+16x$ is '16'.

So half of the term 16 ,

$\frac{16}{2} = 8$

and $(8)^2=64$

Now add 64 to the expression:

$x^2+16x+64$

Therefore, the perfect square trinomial is

$(x+8)^2=x^2+16x+64$

8 0

3 years ago

A cable car can safely carry n people thete are alreafy 3/4n people on the cable car only 12 more people can board the cable car

ipn [44]

Answer: 48 people.

Step-by-step explanation:

1. You know that $n$ represents tha number of people that the cable car can safely carry.

2. If you know that there are $\frac{3}{4}n$ and only 12 more people can board it before it becomes unsafe, you can write the following expression:

$n=\frac{3}{4}n+12$

3. Now, you must solve for $n$ .

4. Then, the number of people that the cable car safely carry is:

$n-\frac{3}{4}n=12\\\frac{1}{4}n=12\\n=12*4\\n=48$

4 0

3 years ago

Write the Taylor Series for f(x) = sin (x)center<br> 4x^4+3x^3+2x^2 x 8 centered at a 2

algol [13]

Answer:

attached images

Step-by-step explanation:

8 0

3 years ago

0.55a - a<br><br> I don’t understand how this comes out to -0.45a. Can someone explain?

Dmitry [639]

Step-by-step explanation:

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8 0

3 years ago

Read 2 more answers

"a survey reports the percentage of people 18 years of age and older who smoke. suppose that a study designed to collect new dat

zubka84 [21]

Answer: 2017

Step-by-step explanation:

Given : The proportion of people that smoke : p=0.3

Margin of error : E= 0.02

Significance level : $\alpha=1-0.95=0.05$

Critical value : $z_{\alpha/2}=1.96$

The formula to calculate sample size ( if proportion is known) :-

$n=p(1-p)(\dfrac{z_{\alpha/2}}{E})^2\\\\\Rightarrow\ n=(0.3)(0.7)(\dfrac{(1.96)}{0.02})\\\\\Rightarrow\ n=2016.84approx2017$

Hence, the required minimum sample would be 2017.

4 0

3 years ago

Write a circle equation for it help please​

Write a circle equation for it help please