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3 years ago

6

A hot air balloon is released at ground level and it rises into the air at a constant rate . after 5 second the height of the ba

lloon is 20 feet . The balloon contains the rise at the same rate

1 answer:

LenaWriter [7]3 years ago

8 0

Answer:It's d

Step-by-step explanation:

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Please answer! this is an important exam that im taking right now.

Scorpion4ik [409]

Answer:

Required ordered pair is (0,0) for system of equation

Step-by-step explanation:

The given system of equation is

A). $9^{12x} = 9^{3y}$

B). $y^{4} - 9y^{2} x^{2} =16y$

On simplifying the equation A

$9^{12x} = 9^{3y}$

Take log on both side,

(12x) (log9) = (3y) (log9)

4x=y

To find the solution of the system of the equation :

Replacing value of y=4x in equation B,

$y^{4} - 9y^{2} x^{2} =16y$

$(4x)^{4} - 9(4x)^{2} x^{2} =16(4x)$

$256x^{4} - 144x^{2} x^{2} =64x$

$256x^{4} - 144x^{4}=64x$

$112x^{4}=64x$

We get,

x=0 and x=0.829

Since, 0.829 is not integer number

Only solution of equations is x=0

For the value of y

Replace value x in y=4x=0

Thus, Required ordered pair is (0,0)

8 0

3 years ago

Write 23 hundredths in scientific notation

Dmitry [639]

Answer:

Step-by-step explanation:

23 hundredths = 0.23 = 2.3 * 10⁻¹

8 0

3 years ago

A board is 85cm in length and must be cut so that one piece is 11cm longer than the other piece . Find the length of each piece.

iVinArrow [24]

The shorter piece is 37 cm

The longer piece is 48 cm:

Step-by-step explanation:

Divide 85 cm by 2 = 42.5

Divide 11 cm by 2 = 5.5

Add them together = 48 cm

85 cm - 48 cm = 37 cm

8 0

3 years ago

Translate this phrase into an algebraic expression.

Andre45 [30]

Answer:

60-2x=v

Step-by-step explanation:

8 0

3 years ago

Which binomial is a factor of 49x2 + 84 xy + 36y2?

skad [1K]

Answer:

(7x+6y) is a binomial factor of the given expression $49x^2+84xy+36y^2$

Therefore $49x^2+84xy+36y^2=(7x+6y)(7x+6y)$

Step-by-step explanation:

Given expression is $49x^2+84xy+36y^2$

To find the binomial factor :

$49x^2+84xy+36y^2$

Rewritting the above expression as

$=7^2x^2+2(7)(6)xy+6^2y^2$

$=(7x)^2+2(7x)(6y)+(6y)^2$

$=(7x+6y)^2$ ( using the formula $=(a+b)^2=a^2+2ab+b^2$ here a=7x and y=6y )

$=(7x+6y)(7x+6y)$ ( using the formula $=(a+b)^2=(a+b)(a+b)$ )

Therefore $49x^2+84xy+36y^2=(7x+6y)(7x+6y)$

(7x+6y) is a binomial factor of the given expression $49x^2+84xy+36y^2$

5 0

2 years ago