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4 years ago

Which equation and variable would be easiest to solve for in order to solve the system by substitution? y + x = 3 5x + 3y = -1

Mathematics

1 answer:

notsponge [240]4 years ago

4 0

Answer:

Use y + x = 3 and solve for either x or y.

Step-by-step explanation:

Substitution is a method to solve a system of equations by substituting an expression from one equation into the other.

To begin, first solve one equation by isolating for one variable. Choose the equation which will have the least number of steps to do so.

y + x = 3 can be solve for x or y by subtracting the other variable. Since this only requires one step use this equation. Either variable can be used.

You might be interested in

If you toss a pair of dice 1,000 times, how many times would you expect to get a sum of 12 as the result?

SIZIF [17.4K]

If you toss a pair of dice 1,000 times, how many times would you expect to get a sum of 12 as the result. When you toss a die there is 1/6 probility that you will get 6 so if you toss another die the probability is the same. The get a sum of 12 the probability is 1/36.

So if you toss 1000 times,

<span>You will get about 1000 (1/36) = 27 times</span>

6 0

3 years ago

find a positive angle less than one revolution around the unit circle that is co-terminal with the given angle -15pi/17

natta225 [31]

ANSWER
$=\frac{19}{17} \pi$

EXPLANATION

To find a positive angle that is coterminal with
$- \frac{15}{17} \pi$

We add multiples of 2π until we get a positive angle that is less than one revolution,

We add to obtain,

$- \frac{15}{17} \pi + 2\pi$

This simplifies to,

$= \frac{19}{17} \pi$

This is the first positive angle that is coterminal with
$- \frac{15}{17} \pi$

and is less than one revolution.

7 0

4 years ago

What is the value of x in the following system y=3x-5 6x+3y=15

gregori [183]

Answer:

the answer will be y=1

Step-by-step explanation:

If you plug in (3x-5) in for y in the 6x+3y=15, you will get 6x+9x-15=15. Add the like terms (6x+9x) and get 15x. Bring the -15=15 down. Add 15 to the other 15 on the other side of the equal sign, bring 15x down and then divide 15 by 30 and get x=2. Plug in 2 for x in the (3x-5) equation, then solve and the answer will be y=1.

7 0

3 years ago

The net of a rectangular prism is shown below.

Mamont248 [21]

Answer:

Step-by-step explanation:

Using a net to find the surface area of a rectangular prism

Finding the areas of each of the rectangles and squares of the net of a rectangular prism and adding up those areas gives the surface area or total surface area of the prism.

For example, if the length of one side of the cube 4 units then the area of one its face is 4 × 4 = 16 square units. From the net, we can see that there are six equal faces and so we get the total surface area is 6 × 16 = 96 square units.

Surface Area of a Rectangular Prism using Nets

A rectangular prism or cuboid is formed by folding a net as shown −

Cuboid

We can see from the net that there are two rectangles with dimensions 3 cm by 6 cm, two rectangles with dimensions 2 cm by 6 cm and two rectangles with dimensions 2 cm by 3 cm. The total surface area is then

2 × 3 × 6 + 2 × 2 × 6 + 2 × 2 × 3 = 72 cm2

Example 1:

Find the surface area of the given rectangular prism in square cm.

Rectangular Prism in Square cm

Solution

Step 1:

Using net, the surface area of a rectangular prism

= 2lw+wh+lh; l = 6 ; w = 5; h = 3

Step 2:

Surface area of given prism = 26×5+6×3+3×5

= 230+18+15

= 126 square cm

Example 2:

Find the surface area of the given rectangular prism in square cm.

Rectangular Prism Square cm

Solution

Step 1:

Using net, the surface area of a rectangular prism

= 2lw+wh+lh; l = 5; w = 6; h = 4

Step 2:

Surface area of given prism = 25×6+5×4+6×4

= 230+20+24

= 148 square cm

6 0

3 years ago

Read 2 more answers

Subject is Trigonometry. Solve for X.

Wewaii [24]

Answer:

16.3°

Step-by-step explanation:

Cos x = adjacent side/hypotenuse

= 24/25

x = arccos (24/25) = 16.3°

You must memorize the definitions of the trig functions and then this type of problem is easy. OK?

6 0

3 years ago