Lesson 5 mod1 answer key 7.1

Write the equation of the circle graphed below

Serjik [45]

Given:

Given that the circle is graphed with center (-1,1)

We need to determine the equation of the circle.

Radius:

To determine the radius of the circle, let us simply count the number of units between the center point to any point on the circle.

Hence, from the figure, it is obvious that there are 5 units between the center and any point on the circle.

Thus, radius of the circle is 5 units.

Equation of the circle:

The standard form for the equation of the circle is given by

$(x-h)^{2}+(y-k)^{2}=r^{2}$

where the center is (h,k) and radius is r.

Substituting the center (-1,1) and r = 5 in the above formula, we get;

$(x+1)^{2}+(y-1)^{2}=5^{2}$

$(x+1)^{2}+(y-1)^{2}=25$

Thus, the equation of the circle is $(x+1)^{2}+(y-1)^{2}=25$

7 0

3 years ago

Anisa went to Dicks Sporting good and bought

MissTica

Answer: $492

The work:

Anisa got $116

58 x 2 = 116

Emma got $376

94 x 4 = 376

Add them: $492

5 0

2 years ago

Read 2 more answers

A quality control engineer at a potato chip company tests the bag filling machine by weighing bags of potato chips. Not every ba

jekas [21]

Answer:

The test statistic is z = 1.865.

Step-by-step explanation:

The test statistic is:

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

In which X is the sample mean, $\mu$ is the value tested at the null hypothesis, $\sigma$ is the standard deviation and n is the size of the sample.

H0: p = 0.11

This means that 0.11 is tested at the null hypothesis, and so:

$\mu = 0.11$

$\sigma = \sqrt{0.11*0.89} = 0.3129$

The engineer weighs 94 bags and finds that 16 of them are over-filled.

This means that:

$n = 94, X = \frac{16}{94} = 0.1702$

What is the test statistic?

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

$z = \frac{0.1702 - 0.11}{\frac{0.3129}{\sqrt{94}}}$

$z = 1.865$

The test statistic is z = 1.865.

6 0

2 years ago

Joaquin has created a small treasure map that is in the shape of a square. He decides to make a larger version of the map, and o

likoan [24]

A - side of small map
a+6 - side of larger map
(a+6)² - area of larger map

(a+6)² = 121
(a+6)² = 11² |√(...)
a+6 = 11 |-6
a+6-6 = 11-6
a = 5

Answer A. 5 inches by 5 inches

9 0

3 years ago

Read 2 more answers

-3x - 3y - z= -6

kifflom [539]

Answer:

Ammm, I think the answer you have is wrong, but what I really think is that the equations you put in are not the right ones because the answer for these is "ugly" (decimals etc...). Want to check your equations?

Step-by-step explanation:

Here is a step by step explanation to your equations (I assumed +3z for the second but you can change it). You can edit it for your equations if you want to.

https://simplisico.com/share/q/QiWKOyN5uYgkSG4iBXOmdG0i

5 0

3 years ago