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BARSIC [14]
2 years ago
10

Someone solve this for me please

Mathematics
1 answer:
Butoxors [25]2 years ago
5 0

Answer:

x=2; y=1

Step-by-step explanation:

Since the triangle is equilateral, which means three sides have the same length.

So we have:4x-y=2x+3y=7

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

Since 2x+3y=7 and plug in x=2y

we have

2x+3y=7\\2(2y)+3y=7\\4y+3y=7\\7y=7\\y=1

and since y=1

x=2

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Which of the following equations represents a line that is parallel to the line 3x - 2y = 12
sveticcg [70]

Answer:

Step-by-step explanation:

12=3x-2y

2y+12=3x

2y=3x-12

y=(3x-12)/2

y=mx+b

To be parallel to the line above our line must have the same slope or m. The above line has a slope of 3/2 or 1.5 so the parallel line will be

y=1.5x+b, using point (7,10) we can solve for the y intercept or b

10=1.5(7)+b

10=10.5+b

b=-0.5 so our line is

y=1.5x-0.5

5 0
2 years ago
Question 14 of 25What is the complete factorization of the polynomial below?x³+x² + 4x+4O A. (x-1)(x+2)(x+2)B. (x + 1)(x + 2)(x
mote1985 [20]

GIVEN:

We are given the following polynomial;

x^3+x^2+4x+4

Required;

We are required to factorize this polynomial completely.

Step-by-step explanation;

To factorize this polynomial, we start by grouping;

(x^3+x^2)+(4x+4)

We now take the common factor in each group;

\begin{gathered} x^2(x+1)+4(x+1) \\  \\ (x^2+4)(x+1) \end{gathered}

Next, we factorize the first parenthesis. To do this we set the equation equal to zero and solve for x as follows;

\begin{gathered} x^2+4=0 \\  \\ Subtract\text{ }4\text{ }from\text{ }both\text{ }sides: \\  \\ x^2=-4 \\  \\ Take\text{ }the\text{ }square\text{ }root\text{ }of\text{ }both\text{ }sides: \\  \\ x=\pm\sqrt{-4} \\  \\ x=(\pm\sqrt{-1}\times\sqrt{4}) \\  \\ x=\pm2i \end{gathered}

Therefore, the factors of the other parenthesis are;

(x+2i)(x-2i)

Therefore, the complete factorization of the polynomial is;

ANSWER:

(x+1)(x+2i)(x-2i)

Option C is the correct answer.

4 0
1 year ago
Ellie must Mix 6 tablespoons of plant food for every 2 gallons of water if she has 6 gallons of water how much plant food should
miv72 [106K]
She should use 18 tablespoons of plant food.

6÷2= 3

3×6= 18

Hope this helps! :)

\(^ ◇^)/

7 0
3 years ago
Write the slope intercept form of the equation of the line through the given points.
Zanzabum

Answer:

You use the formula (y to the second power minus y to the first power minus the same formula with the two different points

Step-by-step explanation:

6 0
3 years ago
Crossword Puzzle
Vikki [24]

Answer:

Please read the answers below that solve the crossword puzzle about linear equations. Tested and proved offline!

Step-by-step explanation:

Across:

2. V a r i a b l e

9. S o l v e

10. S u b t r a c t i o n p r o p e r t y (Two words)

Down:

1. M u l t i p l i c a t i o n p r o p e r t y (Two words)

3. A d d i t i o n p r o p e r t y (Two words)

4. L i n e a r

5. D i v i s i o n p r o p e r t y (Two words)

6. L i n e a r i n e q u a l i t y (Two words)

7. C o n s t a n t t e r m (Two words)

8. C o e f f i c i e n t

3 0
2 years ago
Read 2 more answers
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