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4 years ago

8

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

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

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8. rounds up to 4

4 0

3 years ago