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2 years ago

Write equations for the vertical and horizontal lines passing through the point (-4,-9).

Mathematics

1 answer:

Gnesinka [82]2 years ago

6 0

Answer:

Below.

Step-by-step explanation:

These are perpendicular line which intersect at (-4, -9).

Vertical line is x = -4.

Horizontal lone is y = -9.

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Factorize x^2/16+xy+4y^2

lisov135 [29]

Answer:

$\frac{x^2}{16} +xy+4y^2$ can be factored out as: $(\frac{x}{4} +2\,y)^2$

Step-by-step explanation:

Recall the formula for the perfect square of a binomial :

$(a+b)^2=a^2+2ab+b^2$

Now, let's try to identify the values of $a$ and $b$ in the given trinomial.

Notice that the first term and the last term are perfect squares:

$\frac{x^2}{16} = (\frac{x}{4} )^2\\4y^2=(2y)^2$

so, we can investigate what the middle term would be considering our $a=\frac{x}{4}$ , and $b=2y$ :

$2\,a\,b=2\,(\frac{x}{4}) \,(2\,y)=x\,y$

Therefore, the calculated middle term agrees with the given middle term, so we can conclude that this trinomial is the perfect square of the binomial:

$(\frac{x}{4} +2\,y)^2$

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2 years ago

How many inches in 7 miles?

alexandr402 [8]

Answer:

443520

Step-by-step explanation:

7 0

3 years ago

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Solve the equation by completing the sqaure. if necessary round to the nearest hundreth x^2+4x=1

viktelen [127]

Answer:

x = ± √ 5 − 2

Step-by-step explanation:

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3 years ago

The length of each leg of an isosceles right triangle is 4 cm. What is the length of the hypotenuse

miss Akunina [59]

Answer:

5.65 cm

Step-by-step explanation:

We are given that the length of each leg of an isosceles right triangle is 4 cm and we are to find the length of the hypotenuse.

For this, we will use the Pythagoras Theorem:

$a ^ 2 = b ^ 2 + c ^ 2$

where $a$ is the hypotenuse.

$a ^ 2 = 4 ^ 2 + 4 ^ 2$

$\sqrt { a ^ 2} = \sqrt { 3 2 }$

$a = 5 . 6 5$

Therefore, the length of the hypotenuse is 5.65 cm.

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3 years ago

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Hey guy pls help explain answer no links

laiz [17]

Answer:

4, 5

Step-by-step explanation:

the mode is 4 since mode is the number/s that appear most. Median is the number in the middle when the range is in order. That is 5

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2 years ago