Does anyone know the answer

Graph the circle x^2+y^2+2x+4y-44=0

Natasha_Volkova [10]

Answer:

See explanation

Step-by-step explanation:

First, convert this to standard form. By completing the square, you can do the following:

$(x^2+2x+1)-1+(y^2+4y+4)-4-44=0$

$(x+1)^2+(y+2)^2=49$

This is a circle with center (-1,-2), and radius 7. It looks like the one I graphed below. Hope this helps!

6 0

3 years ago

find the smallest number of terms of the AP "-54,-52.5,-51,-49.5" ....that must be taken for the sum of the terms to be positive

wel

The smallest number of terms of the AP that will make the sum of terms positive is 73.

Since we need to know the number for the sum of terms, we find the sum of terms of the AP

<h3>Sum of terms of an AP</h3>

The sum of terms of an AP is given by S = n/2[2a + (n - 1)d] where

n = number of terms,
a = first term and
d = common difference

Since we have the AP "-54,-52.5,-51,-49.5" ....", the first term, a = -54 and the second term, a₂ = -52.5.

The common difference, d = a₂ - a

= -52.5 - (-54)

= -52.5 + 54

= 1.5

<h3>Number of terms for the Sum of terms to be positive</h3>

Since we require the sum of terms , S to be positive for a given number of terms, n.

So, S ≥ 0

n/2[2a + (n - 1)d] ≥ 0

So, substituting the values of the variables into the equation, we have

n/2[2(-54) + (n - 1) × 1.5] ≥ 0

n/2[-108 + 1.5n - 1.5] ≥ 0

n/2[1.5n - 109.5] ≥ 0

n[1.5n - 109.5] ≥ 0

So, n ≥ 0 or 1.5n - 109.5 ≥ 0

n ≥ 0 or 1.5n ≥ 109.5

n ≥ 0 or n ≥ 109.5/1.5

n ≥ 0 or n ≥ 73

Since n > 0, the minimum value of n is 73.

So, the smallest number of terms of the AP that will make the sum of terms positive is 73.

Learn more about sum of terms of an AP here:

brainly.com/question/24579279

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4 0

2 years ago

A rectangular prism has dimensions of 3 cm. by 5 cm. by 5 cm. What is its surface area?

Bogdan [553]

$\bf \textit{surface area of a rectangular prism}\\\\ SA=2Lw+2Lh+ 2wh~~ \begin{cases} L=length\\ w=width\\ h=height\\ \cline{1-1} L=3\\ w=5\\ h = 5 \end{cases} \\\\\\ SA=2(3\cdot 5)+2(3\cdot 5)+2(5\cdot 5)\implies SA=30+30+50\implies SA=110$

4 0

3 years ago

Simplify Using Distributive Property<br> -6(2a + 8)

lesya692 [45]

Answer:

-12a - 48

Step-by-step explanation:

you do -6 times 2a which is -12a then you do -6 times 8 which gives you -48 so you put -12a - 48

since the 48 is a negative we would just put a minus sign instead a plus. If it was a positive 48 we would put a plus sign buts its not so we put a negative.

7 0

2 years ago

A 6,000-seat theater has tickets for sale at $28 and $40. How many tickets should be sold at each price for a sellout perform

RUDIKE [14]

Answer:

2,100 $28 tickets were sold, and 3,900 $40 tickets were sold!

Step-by-step explanation:

So, we need to write two equations in order to solve this:

We will think of 28 dollar tickets as x, 40 dollar tickets as y.

Now lets make those equations:

$x + y = 6,000$