All categories

3 years ago

How do you solve system of equations with -x+3y=0 & 2x+6y=12

1 answer:

lisabon 2012 [21]3 years ago

3 0

There are 3 available methods - Substitution , Elimination and Matrix.

The substitution method is used to eliminate one of the variables by replacement.

The elimination method is used for solving linear systems.

A Matrix is an array of numbers.

Lets use Substitution to solve this system.

$x+3y=0$

$x=-3y


$

Substitute $x=-3y$ into $2x+6y=12$ 

 $2x+6y=12$

$2*-3y+6y=12$

$0=12$

No Solution

You might be interested in

Factor the quadratic equation of y= 4x^2 + 16x -48

vodka [1.7K]

Answer:

y = 4(x+6)(x-2)

Step-by-step explanation:

y = 4x² + 16x - 48, factor out the 4

y = 4(x² + 4x - 12), find factors of 12

Factors of 12:

1*12, 2*6, 3*4; find a pair that sums to 4x or 4

6-2 = 4, since 12 is a negative number, a number in the factor must be negative, in this case, making 2 negative, would make 6-2 = 4

y = 4(x+6)(x-2)

8 0

2 years ago

Which set of measurements could represent the three sides of a triangle?

yawa3891 [41]

Answer:

The side lengths of a right triangle is 11cm, 60cm and 61cm, that could be selected from the given measurements.

Step-by-step explanation:

The measurements are,

7cm, 11cm, 54cm, 60cm, 61cm, 65cm

Step:1

To check the right angle triangle, Pythagorean theorem can be used.

For a Pythagorean theorem,

..........................(1)

The side values are lower than the hypotenuse,

...................................(2)

Where,

a,b - side values

c - Hypotenuse

For right angle triangle, c > a, b

Alternative : 1

Take, a = 7cm, b = 11cm

From eqn (2),

= = 13.04

The above value is not equal to the any one of the values of ( 54cm. 60cm, 61cm, 65cm ), So its not an sides of right triangle.

Alternative : 2

Take, a = 7cm, b = 54cm

From eqn (2),

= = 54.45

The above value is not equal to the any one of the values of (60cm, 61cm, 65cm ), So its not an sides of right triangle.

Alternative : 3

Take, a = 7cm, b = 60cm

From eqn (2),

= = 60.406

The above value is not equal to the any one of the values of (61cm, 65cm ), So its not an sides of right triangle.

Alternative : 4

Take, a = 7cm, b = 61cm

From eqn (2),

= = 61.40

The above value is not equal to the values of (65cm ), So its not an sides of right triangle.

Alternative : 5

Take, a = 11cm, b = 54cm

From eqn (2),

= = 55.1089

The above value is not equal to the any one of the values of (60cm, 61cm, 65cm ), So its not an sides of right triangle.

Alternative : 6

Take, a = 11cm, b = 60cm

From eqn (2),

= = 61

The above value is equal to the values of (61cm ), So its an sides of right triangle. The three sides are 11, 60 and 61.

Step:2

Check for solution,

Result:

The side lengths of a right triangle is 11cm, 60cm and 61cm, that could be selected from the given measurements.

Step-by-step explanation: The side lengths of a right triangle is 11cm, 60cm and 61cm.

4 0

3 years ago

In ΔABC , angle C is a right angle.

guajiro [1.7K]

Answer: Choice A. sin(A) = cos(B)

============================================================

Explanation:

The rule is that sin(A) = cos(B) if and only if A+B = 90.

Note how

sin(A) = opposite/hypotenuse = BC/AB
cos(B) = adjacent/hypotenuse = BC/AB

Since both result in the same fraction BC/AB, this helps us see why sin(A) = cos(B). Similarly, we can find that cos(A) = sin(B).

In the diagram below, the angles A and B are complementary, meaning they add to 90 degrees. So this trick only applies to right triangles.

The side lengths can be anything you want, as long as you're dealing with a right triangle.

3 0

3 years ago

Convert 110 km/myr (kilometers per million years) to cm/yr (centimeters per year)

jenyasd209 [6]

Answer:

$110\ \text{km/myr} =11\ \text{cm/yr}$

Step-by-step explanation:

To find : Convert 110 km/myr (kilometers per million years) to cm/yr (centimeters per year) ?

Solution :

Using metric conversions,

1 kilometer = 1000 meter

1 meter = 100 centimeter

So, 1 kilometer = 100,000 centimeter

and 1 million year = 1,000,000 year

$1\ \text{km/myr} =\frac{100000}{1000000}\ \text{cm/yr}$

$1\ \text{km/myr} =0.1\ \text{cm/yr}$

So, $110\ \text{km/myr} =110\times 0.1\ \text{cm/yr}$

$110\ \text{km/myr} =11\ \text{cm/yr}$

Therefore, $110\ \text{km/myr} =11\ \text{cm/yr}$

6 0

3 years ago

Read 2 more answers

18. Emma rents a car from a company that rents cars by the hour. She has to pay an initial fee of $75, and then they charge her

love history [14]

Step-by-step explanation:

Let h be the number of hours.

Total Cost = Fixed Costs + Variable Cost

= Initial Fee + Hourly Charge

= 75 + 9h

Given,

$75 + 9h = 250 \\ 9h = 250 - 75 \\ 9h = 175 \\ h = 175 \div 9 \\ = 19 \frac{4}{9} hr$

Since the car cannot be rent part of an hour, the highest possible whole number is 19 hours.

5 0

3 years ago