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3 years ago

Find the values of x and y.

Mathematics

1 answer:

qwelly [4]3 years ago

4 0

We have the isosceles triangle were y + 12 = 3x - 5,

and the equilateral triangle. Therefore 3x - 5 = 5y - 4.

From the first equation and the second equation we have:

y + 12 = 5y - 4 subtract 12 from both sides

y = 5y - 16 subtract 5y from both sides

-4y = -16 divide both sides by (-4)

Substitute the value of y to the first equation:

4 + 12 = 3x - 5

16 = 3x - 5 add 5 to both sides

21 = 3x divide both sides by 3

<h3>x = 7</h3>
<h3>Answer: x = 7 and y = 4</h3>

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Answer:

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20 plus 6

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3 years ago

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3 years ago

-2x + y = 4

nirvana33 [79]

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2 years ago

What are all of the rational zeros of the function g(x) = x^4- x^3+ 4x^2- 4x?

Darya [45]

Yo sup??

We can solve this questions by trying option verification.

We observe that 0 is common among all the options so 0 has to be a zero of the function.

when x=1

g(1)=1-1+4-4=0

Therefore 1 is also a zero of the function.

Since 1 is not there is option 2 and 3, hence our answer is either option 1 or 4

when x=2

g(2)=16-8+16-8=0

Therefore 2 is also a zero of the function.

Hence the correct answer is option D ie 0,1,2

Hope this helps.

6 0

3 years ago

Maya runs a farm stand that sells raspberries and blueberries. Each pound of raspberries sells for $1 and each pound of blueberr

aniked [119]

30 pounds of raspberries and 50 pounds of blueberries are sold

Solution:

Let "a" be the pounds of raspberries sold

Let "b" be the pounds of blueberries sold

Cost per pound of raspberry = $ 1

Cost per pound of blue berry = $ 3.25

Maya made $192.50 from selling a total of 80 pounds of raspberries and blueberries

Therefore,

a + b = 80

a = 80 - b ------- eqn 1

Maya made $192.50. Therefore, frame a equation as:

pounds of raspberries sold x Cost per pound of raspberry + pounds of blueberries sold x Cost per pound of blue berry = 192.50

$a \times 1 + b \times 3.25 = 192.50$

a + 3.25b = 192.50 ------ eqn 2

Let us solve eqn 1 and eqn 2

Substitute eqn 1 in eqn 2

80 - b + 3.25b = 192.50

2.25b = 192.50 - 80

2.25b = 112.5

Divide both sides by 2.25

b = 50

Substitute b = 50 in eqn 1

a = 80 - 50

a = 30

Thus 30 pounds of raspberries and 50 pounds of blueberries are sold

3 0

3 years ago