What is the answer to this equation using substitution x+y=12x+3y=-4

Answers

Answer 1

Answer: { x + y = 1 * ( - 2 )
2 x + 3y = -4

- 2 x - 2 y = - 2
2 x + 3 y = - 4
_______________
y = - 6

Subsititute y = - 6

2 x + 3 y = - 4

2 x + 3 * (-6) = -4

2 x - 18 = - 4

2 x = - 4 + 18

2 x = 14

x = 14 / 2

x = 7

The solution to the system of equations are:

x = 7 and y = - 6

hope this helps!

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A wildflower bouquet costs $4.25 at the farmer's market. A vase can be purchased for an additional $3.50. Kelly has $20 to buy a bouquet for her mother with a vase. She'd also like to buy just a bouquet for herself and another for her best friend.If x represents the number of bouquets Kelly can buy, which inequality will tell Kelly if she has enough money to make her purchase?A) $4.25x + $3.50 ≤ $20 B) $4.25x - $3.50 ≤ $20 C) $4.25x + $3.50 ≥ $20 EliminateD) $3.50x + $4.25 ≤ $20;
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N to the first power divided by (n - r) to the first power

Find the circumference and area of each circle. PLEASE HELP!

Answers

Answer:

There are so many!

For circumference use = 2 pi r

For area use = pi r²

I have told only formula, else you may lack practice. try to solve yourself

Complete the equation of the line through (-8,8)(−8,8)left parenthesis, minus, 8, comma, 8, right parenthesis and (1,-10)(1,−10)left parenthesis, 1, comma, minus, 10, right parenthesis.

Answers

Answer:

$y = -2x - 8\nOR\n2x+y+8=0$

Step-by-step explanation:

Given that there are 2 points

$A(-8,8)$ and

$B(1,-10)$

So, the coordinates are:

$x_2 = 1\nx_1 = -8\ny_2 = -10\ny_1 = 8$

Equation of a line is given as:

$y =mx+c$

where 'm' is the slope of the line, formula for 'm' is given as:

$m=(y_2-y_1)/(x_2-x_1)$

$(x,y)$ are the points that satisfy the equation of the line.

$c$ is the $y -$ intercept.

Calculating the value of m using the given coordinates:

$m=(-10-8)/(1-(-8))\n\Rightarrow m=(-18)/(9) = -2$

So, the equation of line becomes:

$y =-2x+c$

Now, putting the coordinates of point $A(-8,8)$

$8 =-2* (-8)+c\n\Rightarrow 8 = 16+c\n\Rightarrow c = -8$

Please refer to the graph of given equation of line.

The equation of line is:

$y =-2x+-8\nOR\n2x+y+8=0$

A snowmobile is priced at $2800. The sales tax rate is 8.25%. What is the final sale priceincluding tax?

Answers

Answer:

3031

Step-by-step explanation:

8.25 percent of 28000 is 231 add that to 2800 is 3031

1.) A ladder is leaning against the side so that the distance on the ground betweenthe base and the house is 7 feet.
If the ladder is 15 feet long, then what is the angle at which the ladder is leaning?

Answers

The angle at which the ladder is leaning is 62.18°.

What is trigonometry?

Trigonometry is the branch of mathematics that deals with calculating the angles of triangles or the lengths of their sides. It mainly concerned on the properties of right angled triangle.

For the given situation,

The length of the ladder = 15 feet

The distance between the house and the ladder base = 7 feet

The angle at which the ladder is leaning can be found by using trigonometric ratio, cos θ.

we know that, $cos$ θ = $(Base)/(Hypotenuse)$

The figure below shows the relationship between the sides.

⇒ $cos$ θ = $(7)/(15)$

⇒ θ = $cos^(-1)((7)/(15) )$

⇒ θ = $62.18$

Hence we can conclude that the angle at which the ladder is leaning is 62.18°.

Learn more about trigonometry here

brainly.com/question/24174128

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Answer:

62.182°

Step-by-step explanation:

Using cos and sin you are able to find the height of the ladder from the bottom of the house to the place the top of the ladder is. You can do this by making a triangle. By using the lengths and angles already present you are able to find all angles of the triangle.

How to change1.333 to a percent

Answers

To change 1.333 to a percent just put it over 100 and divide.

1.333/100 = 0.01333

Also, take off the zeros and your left with 1333

What are the solutions of the equation x6 + 6x3 + 5 = 0? Use factoring to solve.

Answers

To get the solutions to the equation x^6 + 6x^3 + 5 = 0 using factoring. Expanding x^6 + 6x^3 + 5 = 0 gives x^6 + x^3 + 5x^3 + 5 = 0, Factoring x^6 + x^3 + 5x^3 + 5 = 0 gives x^3(x^3 + 1) + 5(x^3 + 1) = 0, Grouping x^3(x^3 + 1) + 5(x^3 + 1) = 0 gives (x^3 + 5)(x^3 + 1) = 0 Solving (x^3 + 5)(x^3 + 1) = 0 gives x^3 + 5 = 0 or x^3 + 1 = 0 x^3 = -5 or x^3 = -1 x = cube root of -5 or x = cube root of -1 x = -1.71 or x = -1

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