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3 years ago

HELP! WILL GIVE BRAINLIEST!! EASY! GIVE LONG DETAILED ANSWER!

Mathematics

1 answer:

OLEGan [10]3 years ago

6 0

Answer:

x² + 2x + y² + 4y = 20

(x² + 2x + 1) - 1 + (y² + 4y + 4) - 4 = 20

(x + 2)² + (y + 4)² - 5 = 20

(x + 2)² + (y + 4)² = 25

Therefore, the center is (-2, -4) and the radius is √25 = 5.

You might be interested in

If you add 21 to my number and then multiply the result by 3, you will get 84 more than two-thirds of my number. Find my number.

Ksivusya [100]

Based on the calculations, the unknown number is equal to $\frac{-45}{7}$

Let the unknown number be x.

<h3>How to find an unknown number:</h3>

Translate the word problem into an algebraic expression, we have;

Adding 21 to the unknown number:

$21 +x$

Multiplying the result by 3:

$3\times (21+x)$

84 more than two-thirds of the unknown number:

$\frac{2x}{3} +84$

Equating the equations, we have:

$3\times (21+x) = \frac{2x}{3} +84\\\\43+3x=\frac{2x}{3} +84$

Cross-multiplying, we have:

$43+3x=\frac{2x}{3} +84\\\\129+9x=2x+84\\\\9x-2x=84-129\\\\7x=-45\\\\x=\frac{-45}{7}$

Read more on word problems here: brainly.com/question/13170908

5 0

2 years ago

A stretch that is 12 1/4 kilometers long has speed limit signs ever 7/8 of a kilometer

Arada [10]

Answer:

dude what is the question

8 0

3 years ago

Wich is greater<br> 50% or 13/25

a_sh-v [17]

Answer:

13/25 is greater

Step-by-step explanation:

50% = 50/100 = 0.5

And

13/25 = 0.52

S0 0.5 < 0.52

Mark brainliest if you understand

3 0

2 years ago

Choose the correct description of the graph of the compound inequality: x − 2 > −3 and 3x less than or equal to 12 A number l

liraira [26]

The two inequalities translate to the following system:

$\begin{cases} x - 2 > -3\\ 3x \leq 12 \end {cases}$

Each inequality yields the following solution:

$\begin{cases} x > -1\\ x \leq 4 \end {cases}$

So, we want a number to be (strictly) more than one, and less than or equal to 4. You can write this in many methods, the most common are $(1,4]$ or [/tex] 1<x\leq 4 [/tex].

Usually, on number lines, we draw an open circle on excluded values, and a closed circle on included ones. So, we want an open circle on 1, closed on 4, and shaded between.

5 0

3 years ago

You are contacted by the top cookie-selling Girl Scout troop in the city. As part of their sales plan for next year’s cookie sel

Naddika [18.5K]

Answer:

The types of cookies purchased by the customers depends on where the scouts sell them.

Step-by-step explanation:

The data provided is:

Sales Type of Cookie Sold

Method

Thin Mints Tagalongs Do-si-dos Trefoils Samoas

parents’ 472 641 350 223 401

workplace

Door

-to- 840 1092 673 511 542

Door

Community 683 742 491 420 374

Events

A Chi-square test for goodness of fit will be used to determine whether the types of cookies purchased by the customers depends on where the scouts sell them.

The hypothesis can be defined as:

<em>H</em>₀: The observed frequencies are same as the expected frequencies.

<em>Hₐ</em>: The observed frequencies are not same as the expected frequencies.

The test statistic is given as follows:

$\chi^{2}=\sum\limits^{n}_{i=1}\frac{(O_{i}-E_{i})^{2}}{E_{i}}$

The formula to compute the expected frequency is:

$E_{i}=\frac{i^{th}\ \text{Row Total}\times i^{th}\ \text{Column Total}}{N}$

Consider the Excel output for the expected frequency values.

The Chi-square test statistic value is:

$\chi^{2}=\sum\limits^{n}_{i=1}\frac{(O_{i}-E_{i})^{2}}{E_{i}}=56.788$

The degrees of freedom is:

df = (r - 1)(c - 1)

= (3 - 1)(5 - 1)

= 2 × 4

= 8

The <em>p</em>-value is:

$P(\chi^{2}_{8}>56.788)$

*Use a Chi-square table.

The <em>p</em>-value of the test is very small.

The null hypothesis will be rejected at 1% level of significance.

Conclusion:

There is enough evidence to support the claim that the types of cookies purchased by the customers depends on where the scouts sell them.

4 0

3 years ago