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3 years ago

2x - y = 8 x + 3y = 4

Mathematics

1 answer:

Tcecarenko [31]3 years ago

4 0

Answer:

x = 4, y = 0

Step-by-step explanation:

Two find x and y, we can simply solve one of the two equations for one of the variables, and substitute it into the other. That will provide one of the two values, which can then be plugged into either equation for the other value. Let's do it:

$2x - y = 8\\y = 2x - 8\\\\x + 3y = 4\\x + 3(2x - 8) = 4\\x + 6x - 24 = 4\\7x = 28\\x = 4\\\\y = 2x - 8\\y = 2(4) - 8\\y = 0$

So x is equal to four, and y is equal to zero.

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The ratio of the perimeters of two similar triangles is 4:7. The sides of the larger triangles are 10, 12, and 13cm,

rjkz [21]

Answer:

Perimeter = 20cm

The perimeter is 35 for the larger triangle = 7:4 ratio

the perimeter for the smaller triangle = 4:7 ratio

We add up 4+7 = 11 and multiply 35 x 2 = 70.

so that the smaller triangle = 40 = 40:70

35 = 7 and 20 = 4

To find measurements of 20

we have any number over 10 combined will make the smaller sides possible,

Where hypotenuse would be under 10.

H = 6.5 Sides = 6 + 5 does not add up to 20

H = 9 Sides = 7 + 4 does have near equal spaced symmetry.

H = 9 Sides = 5 + 6 is wrong as no symmetry in measure

H = 8 Sides = 7 + 5 is wrong as no symmetry in measure

H = 7 Sides = 6 + 7 is wrong as equal sides

H = 6 sides = 6.5 + 6.5 is wrong as equal sides

H = 11 Sides = 6 + 3 is wrong has no symmetry.

The measurements must be 9cm, 7cm and 4 cm for the smaller triangle

The perimeter adds up to 20cm.

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4 years ago

A square with one side length is represented by the expression 4(2x+3)+16+8x. Use the properties of operations to write three di

finlep [7]

Answer:

The other sides of the square are

8x+12+16+8x,(8x+8x)+(12+16) and 16x+28

Step-by-step explanation:

Square:

The all sides of a square equal.
The sum of four angles is 360°.
The diagonals bisect each other.
The length of diagonals are equal.

Distributive property:

a(b+c)= ab+ac

Commutative property:

a+b= b+a

Like terms:

Like terms are terms that have the same variables and the power of the variable also same.

Given the length of the side is

=4(2x+3)+16+8x

=4.2x+4.3+16+8x [ Apply distributive property]

=8x+12+16+8x

=(8x+8x)+(12+16) [ separating like terms]

=16x+28 [Adding like terms]

The other sides of the square are

8x+12+16+8x,(8x+8x)+(12+16) and 16x+28

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3 years ago

Felix’s Feed Mill sells chicken feed for $8.00 per bag. This price is no longer high enough to create a profit. Felix decides to

Soloha48 [4]

Answer:

Step-by-step explanation:

essentially the plan that increases the price the most per week reaches the goal of $12 fastest.

plan A is $0.10 per week.

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that means 10% of $8 = $0.80 per week.

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2 years ago

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levacccp [35]

Answer: The dimensions are that of a right triangle.

Step-by-step explanation:

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3 years ago

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Please i don't understand set theory in mathematics

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3 years ago

2x - y = 8 x + 3y = 4​

2x - y = 8 x + 3y = 4