Turma:

3x - 5y = 14 and – 2x + 2y = 0

zubka84 [21]

Answer:

x=5.6

y=-5.6

Step-by-step explanation:

3x - 5y = 14 Equation 1

– 2x + 2y = 0 Equation 2

Simultaneous equation can be solved either through elimination method or substitution method. But we use elimination method for this question

Multiply equation 1 by -2 (the coefficient of x in equation 2) and multiply equation 2 with 3 (the coefficient of x in equation 1), so that x will have the same coefficient in the new equations, and easy to eliminate

-2(3x - 5y = 14)

-6x+10y=-28 Equation 3

3(– 2x + 2y = 0)

-6x+6y=0 Equation 4

Subtract equation 4 from 3 to eliminate x

-6x+10y=-28

-6x+6y=0

-6x-(-6x)=-6x+6x=0

10y-6y=5y

-28-0=-28

5y=-28

y=-28/5

y=-5.6

Substitute for y in equation 2

– 2x + 2y = 0

– 2x + 2(-5.6) = 0

-2x-11.2=0

-2x=11.2

x=-11.2/2

x=5.6

7 0

3 years ago

List from smallest to largest 7/12 1/2 2/3 4/10 1/6

Vlad1618 [11]

Answer:

So if you're having difficulty visualizing the differences, you can rewrite them so they all have the same denominator

7/12 = 35/60

1/2 = 30/60

2/3 = 40/60

4/10 = 24/60

1/6 = 10/60

So now it's easier to see how they compare to each other.

10/60, 24/60, 30/60, 35/60, 40/60

And then simplify them or just refer to what they were before

1/6, 4/10, 1/2, 7/12, 2/3

I hope this helps!

3 0

3 years ago

Kyle pays £720 for the mortgage of his house each month, out of his monthly salary of £1700 .

sesenic [268]

Answer:

About 42%

Step-by-step explanation:

4 0

3 years ago

Determine whether each set of numbers can be the measure of the sides of a triangle. If so, classify the triangle as acute, righ

ElenaW [278]

The following set of numbers 2√3, 4√2, and 3√5, can be the measures of the sides of an obtuse triangle.

A triangle is a polygon with three sides and three vertices.

To know if a set of number is a valid measure of the sides of a triangle, it must follow the Triangle Inequality Theorem which states that the sum of any two sides must be greater than the third side, such that a + b > c, a + c > b, and b + c > a.

let a = 2√3, b = 4√2, and c = 3√5

a + b > c 2√3 + 4√2 > 3√5 9.12 > 6.71 True

a + c > b 2√3 + 3√5 > 4√2 10.17 > 5.66 True

b + c > a 4√2 + 3√5 > 2√3 12.37 > 3.46 True

To know what type of triangle based on the length of its side:

1. Take the sum of the squares of the two smaller sides.

(2√3)^2 + (4√2)^2 = 44

2. Compare it to the square of the largest side.

(3√5)^2 = 45

44 < 45

If the sum of the squares of the 2 is larger than the square of the 3rd, it is an acute triangle.

if they are equal, it is a right triangle

if they are smaller, then it is an obtuse triangle.

Hence, 2√3, 4√2, and 3√5 can be the measure of the sides of an obtuse triangle.

To learn more about types of triangle based on side lengths: brainly.com/question/13619935

#SPJ4

4 0

1 year ago

What is the length of the apothem, rounded to the nearest tenth?

amid [387]

See the attached figure to better understand the problem

we know that
in the triangle ABC
<span>applying the Pythagorean theorem
AC</span>²=AB²+BC²
<span>AC=8 cm
AB=apothem
BC=9.4/2-----> 4.7 cm

AB</span>²=AC²-BC²-----> 8²-4.7²-----> 64-22.09------> AB²=41.91
AB=√41.91-------> 6.47 cm---------> 6.5 cm
apothem=6.5 cm

the answer is
6.5 cm

5 0

3 years ago

Read 2 more answers