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2 years ago

Pls help me........ I tried lol

Mathematics

2 answers:

diamong [38]2 years ago

7 0

its step 2 he did not subtract it right hope this helps and have a great day and get some sleep lol

ArbitrLikvidat [17]2 years ago

7 0

Answer:

step 2

Step-by-step explanation:

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What is the value of a?<br> 06√2<br> 9<br> O 8√3<br> O 36√2

melamori03 [73]

Answer: 6 $\sqrt{2}$

Step-by-step explanation: why the process of elimination is because 9 is sticking like a sore thumb and the last one is too big the first one and the third one are similar but the third one has a square root of 3 so it would be THE FIRST ONE.

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1 year ago

The equation giving a family of ellipsoids is u = (x^2)/(a^2) + (y^2)/(b^2) + (z^2)/(c^2) . Find the unit vector normal to each

Fynjy0 [20]

Answer:

$\hat{n}\ =\ \ \dfrac{\dfrac{x}{a^2}\hat{i}+\ \dfrac{y}{b^2}\hat{j}+\ \dfrac{z}{c^2}\hat{k}}{\sqrt{(\dfrac{x}{a^2})^2+(\dfrac{y}{b^2})^2+(\dfrac{z}{c^2})^2}}$

Step-by-step explanation:

Given equation of ellipsoids,

$u\ =\ \dfrac{x^2}{a^2}+\dfrac{y^2}{b^2}+\dfrac{z^2}{c^2}$

The vector normal to the given equation of ellipsoid will be given by

$\vec{n}\ =\textrm{gradient of u}$

$=\bigtriangledown u$

$=\ (\dfrac{\partial{}}{\partial{x}}\hat{i}+ \dfrac{\partial{}}{\partial{y}}\hat{j}+ \dfrac{\partial{}}{\partial{z}}\hat{k})(\dfrac{x^2}{a^2}+\dfrac{y^2}{b^2}+\dfrac{z^2}{c^2})$

$=\ \dfrac{\partial{(\dfrac{x^2}{a^2})}}{\partial{x}}\hat{i}+\dfrac{\partial{(\dfrac{y^2}{b^2})}}{\partial{y}}\hat{j}+\dfrac{\partial{(\dfrac{z^2}{c^2})}}{\partial{z}}\hat{k}$

$=\ \dfrac{2x}{a^2}\hat{i}+\ \dfrac{2y}{b^2}\hat{j}+\ \dfrac{2z}{c^2}\hat{k}$

Hence, the unit normal vector can be given by,

$\hat{n}\ =\ \dfrac{\vec{n}}{\left|\vec{n}\right|}$

$=\ \dfrac{\dfrac{2x}{a^2}\hat{i}+\ \dfrac{2y}{b^2}\hat{j}+\ \dfrac{2z}{c^2}\hat{k}}{\sqrt{(\dfrac{2x}{a^2})^2+(\dfrac{2y}{b^2})^2+(\dfrac{2z}{c^2})^2}}$

$=\ \dfrac{\dfrac{x}{a^2}\hat{i}+\ \dfrac{y}{b^2}\hat{j}+\ \dfrac{z}{c^2}\hat{k}}{\sqrt{(\dfrac{x}{a^2})^2+(\dfrac{y}{b^2})^2+(\dfrac{z}{c^2})^2}}$

Hence, the unit vector normal to each point of the given ellipsoid surface is

$\hat{n}\ =\ \ \dfrac{\dfrac{x}{a^2}\hat{i}+\ \dfrac{y}{b^2}\hat{j}+\ \dfrac{z}{c^2}\hat{k}}{\sqrt{(\dfrac{x}{a^2})^2+(\dfrac{y}{b^2})^2+(\dfrac{z}{c^2})^2}}$

3 0

2 years ago

Please answer correctly !!!!!!! Will mark brainliest !!!!!!!!!!

MrMuchimi

Answer:

side of square is 2-x

Step-by-step explanation:

Area of the square is side * side or side ², so the expression for the side has to be square root of area

A = 4 -4x + x²

It should be recognized that 4 -4x + x²is a special product ( 2-x)² because this is a perfect square trinomial

side of square is 2-x

6 0

2 years ago

What is this area? please help

Gnoma [55]

Answer:

Step-by-step explanation:

multiply the 20m x 6m

20x6=120. Is base x high

then

divide ➗ by 2

is equal to 60

I hope help you

4 0

2 years ago

Matt wants to purchase a gasoline motor scooter. The gas mileage 75 miles for each 1/2 gallon of gasoline. How many miles will M

Paraphin [41]

Answer: 750 miles

Step-by-step explanation:

The gas mileage is 75 miles per 1/2 gallon of gasoline.

First find how many miles it can go on 1 gallon of gasoline:

= 75 ÷ 1/2

= 150 miles

If the scooter can go 150 miles on 1 gallon, the number of miles it will go on 5 gallons is:

= 5 * 150

= 750 miles

4 0

2 years ago