There are decigrams in 14 hectograms.

Solve the system, enter the smallest x coordinate first

uranmaximum [27]

The solutions to the system of equations are given as follows: (1, -3) and (-4,2).

<h3>What is a system of equations?</h3>

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

The equations are given as follows:

(x + 3)² + (y + 2)² = 17.

x + y = -2.

From the second equation:

y = -2 - x.

Replacing in the first:

(x + 3)² + (y + 2)² = 17.

(x + 3)² + (-2 - x + 2)² = 17

x² + 6x + 9 + x² = 17

2x² + 6x - 8 = 0

2(x² + 3x - 4) = 0

2(x + 4)(x - 1) = 0.

Then the solutions for x are:

x + 4 = 0 -> x = -4.

x - 1 = 0 -> x = 1.

The solutions for y are:

When x = 1, y = -2 - 1 = -3.

When x = -4, y = -2 -(-4) = 2.

Hence the solutions are:

(1, -3) and (-4,2).

More can be learned about a system of equations at brainly.com/question/24342899

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8 0

2 years ago

Help help help help!!!!!

cluponka [151]

Answer:

24.5 is the answer

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

3. An artist is creating a sculpture from clay. He starts with clay in the shape of a sphere with a radius of 3 inches.

Colt1911 [192]

Answer:

Step-by-step explanation:

4 0

3 years ago

A certain town never has two sunny days in a row. Each day is classified as being either sunny, cloudy (but dry), or rainy. If i

11111nata11111 [884]

Answer:

the proportion of days that are Sunny is 0.2

Step-by-step explanation:

Given the data in the question;

Using markov chain;

3 states; Sunny(1), Cloudy(2) and Rainy(3)

Now, based on given conditions, the transition matrix can be obtained in the following way;

$\left[\begin{array}{ccc}0&0.5&0.5\\0.25&0.5&0.25\\0.25&0.25&0.5\end{array}\right]$

so let the proportion of sunny, cloudy and rainy days be S, C and R respectively.

such that, from column 1

S = 0.25C + 0.25R -------------let this be equation 1

from column 2

0.5C = 0.5S + 0.25R

divided through by 0.5

C = S + 0.5R ---------------------- let this be equation 2

now putting equation 2 into equation;

S = 0.25(S + 0.5R) + 0.25R

S = 0.25S + 0.125R + 0.25R

S - 0.25S = 0.375R

0.75S = 0.375R

S = 0.375R / 0.75

S = 0.5R

Therefore,

from equation 2; C = S + 0.5R

input S = 0.5R

C = 0.5R + 0.5R

C = R

Now, we know that, the sum of the three proportion should be equal to one;

so

S + C + R = 1

since C = R and S = 0.5R

we substitute

0.5R + R + R = 1

2.5R = 1

R = 1/2.5

R = 0.4

Hence, the proportion of days that are Rainy is 0.4

C = R

C = 0.4

Hence, the proportion of days that are Cloudy is 0.4

S = 0.5R

S = 0.5(0.4)

S = 0.2

Hence, the proportion of days that are Sunny is 0.2

8 0

3 years ago

What vaule of x makes th question true? 3x+2(x-5)=50 a. 8 b.9 c.11 d.12

Ainat [17]

Hey Tierra7l,

Lets solve your equation together step by step.

$3x+2\left(x-5\right)=50$

$\mathrm{Expand}\:2\left(x-5\right):\quad 2x-10$

$\mathrm{Distribute\:parentheses\:using}:\quad \:a\left(b+c\right)=ab+ac$

$a=2,\:b=x,\:c=-5$

$2\cdot \:x+2\left(-5\right)$

$\mathrm{Apply\:minus-plus\:rules}$

$\:\:+\left(-a\right)=-a$

$2x-2\cdot \:5$

$\mathrm{Multiply\:the\:numbers:}\:2\cdot \:5=10$

$2x-10$

$3x+2x-10=50$

$\mathrm{Add\:similar\:elements:}\:3x+2x=5x$

$5x-10=50$

$\mathrm{Add\:}10\mathrm{\:to\:both\:sides}$

$5x-10+10=50+10$

$\mathrm{Simplify}$

$5x=60$

$\mathrm{Divide\:both\:sides\:by\:}5$

$\dfrac{5x}{5}=\dfrac{60}{5}$

$\mathrm{Simplify}$

$x=12$

Hope this helps,

AnthrαX <span> </span>

4 0

3 years ago