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3 years ago

What would this equation be in vertex form? Show all steps please! :) y2 + 16x - 4y = -20

Mathematics

1 answer:

Anna71 [15]3 years ago

5 0

Answer:

Liquid R has a mass of of 1 kg at a temperature of 30°c kept in a refrigerator to freeze . Given the specific heat capacity is 300 J kg-¹ °c-1 and the freezing point is 4°c . Calculate the heat release by liquid R.

Step-by-step explanation:

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The given function k is a composition of two functions m

lara31 [8.8K]

Answer:2/4 √x (2 over 4 square root x)

Step-by-step explanation:

6 0

3 years ago

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This figure is made up of a quadrilateral and a semicircle.

Arturiano [62]

Answer:

The correct option is B. The area of the figure is 40.4 units².

Step-by-step explanation:

The line AB divides the figure in two parts one is a rectangle and another is semicircle.

The distance formula is

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

The length of AB is

$AB=\sqrt{(2+3)^2+(4-2)^2}=\sqrt{25+4}=\sqrt{29}$

The length of AD is

$AD=\sqrt{(-1+3)^2+(-3-2)^2}=\sqrt{4+25}=\sqrt{29}$

Since AB=AD, therefore ABCD is a square. The area of the of square is

$A_1=a\times a=\sqrt{29}\times \sqrt{29} =29$

The area of square is 29 units².

The area of a semicircle is

$A_2=\frac{\pi}{2}r^2$

Since AB is the diameter of the semicircle, therefore the radius of the semicircle is

$r=\frac{d}{2}=\frac{\sqrt{29}}{2}$

The area of the semicircle is

$A_2=\frac{3.14}{2}(\frac{\sqrt{29}}{2})^2=40.3825$

The area of the figure is

$A=A_1+A_2=29+11.2825=40.3825\approx 40.4$

Therefore the area of the figure is 40.4 units². Option B is correct.

5 0

3 years ago

Omar has a new credit card. He earns 300300300 reward points for every 100100100 dollars he spends. If omar earned 180018001800

jeka94

Omar spent 600 dollars for earning 1800 reward points.

Explanation

Omar earns 300 reward points for every 100 dollars he spends.

Suppose, he spent $x$ dollar for 1800 reward points.

Now according to the ratio of "amount of money spent" and "reward points" , the equation will be......

$\frac{x}{1800}=\frac{100}{300}\\ \\ 300x=180000\\ \\ x=\frac{180000}{300}=600$

Thus, Omar spent 600 dollars for earning 1800 reward points.

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3 years ago

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Rafael counted a total of 40 white cars and yellow cars there are nine times as many white cars as yellow cars how many white ca

natta225 [31]

The answer probably 16 I don't really know

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3 years ago

Find three fifth of Ghana cedis 200

Llana [10]

Answer:

Hi.

three fifth of 200 is 120.

4 0

3 years ago

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