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MAXImum [283]
4 years ago
8

(X+4y)(2x+y-9) using distributive property

Mathematics
1 answer:
mixas84 [53]4 years ago
3 0
You multiply x by (2x+y-9) and then 4y by (2x+y-9). You should then add both of these up and get 2x^2+xy-9x + 8xy+4y^2-36y. Your final answer should be 2x^2+4y^2+9xy-9x-36y. It’s messy but that’s it.
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)Suppose ABC is a right triangle with sides of lengths a, b, and c and right angle at C. Find the unknown side length using the
konstantin123 [22]

Answer:

a=\sqrt{7}

\text{tan}(A)=\frac{\sqrt{7}}{3}

Step-by-step explanation:

Please find the attachment.

We have been given that ABC is a right triangle with sides of lengths a, b, and c and right angle at C.  

To find the side length a, we will Pythagoras theorem, which states that the sum of squares of two legs of a right triangle is equal to the square of the hypotenuse of right triangle.

a^2+b^2=c^2

Upon substituting our given values in Pythagoras theorem, we will get:

a^2+3^2=4^2

a^2+9=16

a^2+9-9=16-9

a^2=7

Take square root of both sides:

a=\sqrt{7}

Therefore, the length of side 'a' is \sqrt{7} units.

We know that tangent relates opposite side of a right triangle with adjacent side.

\text{tan}=\frac{\text{Opposite}}{\text{Adjacent}}

We can see that 'a' is opposite side of angle A and 'b' is adjacent side.

\text{tan}(A)=\frac{a}{b}

\text{tan}(A)=\frac{\sqrt{7}}{3}

Therefore, the value of tan(A) is \frac{\sqrt{7}}{3}.

3 0
3 years ago
What is the measurment of angle P
Airida [17]

Answer:

65°

Step-by-step explanation:

The sum of the angles of a triangle is always 180°. Meaning, ∠P + ∠Q + ∠R = 180.

(2x-9) + (2x+4) + x = 180

Combine like terms:

5x-5 = 180

5x = 185

x = 37

P = (2x - 9) = 2(37) - 9 = 74 - 9 = 65

4 0
3 years ago
Sarah estimated that 230 people will attend the concert but 300 people attended. What was the percent change? Round to the neare
Pachacha [2.7K]
300/230=1.3043 approx. That’s an increase of 30.4%.
6 0
4 years ago
7x − 3(x − 1) = 2(2x + 3)
Arte-miy333 [17]

Answer:

no solution

Step-by-step explanation:

5 0
4 years ago
Please help thank you
sveta [45]

Answer: 1. rounds down to 1

2. rounds up to 10

3. rounds down to 7

4. not sure I say it rounds down to 4

5. rounds down to 2

6. rounds down to 6

7. rounds down to 5

8. rounds up to 4

4 0
3 years ago
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