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3 years ago

Solve for the missing variable(s) and SHOW ALL WORK

Mathematics

1 answer:

Usimov [2.4K]3 years ago

7 0

Answer:

x = 4

Step-by-step explanation:

From the picture attached,

By using mean ratio theorem in the given triangle,

$\frac{AC}{BC}=\frac{BC}{CD}$

AC × CD = (BC)²

(x + 5)x = (x + 2)² [Since, AC = AD + CD]

x² + 5x = x² + 4x + 4

5x = 4x + 4

5x - 4x = 4

x = 4

Therefore, x = 4 will be the answer.

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Find the maximum rate of change of f(x,y) = x2y +2y

nevsk [136]

Answer:

Maximum rate of change at the point (-1,2) = √17

Direction is the direction of the gradient

Step-by-step explanation:

The gradient of a function (scalar or vectorial ) is a vector in the direction of maximum rate of change then

f( x,y ) = x*2y + 2y

grad = δ/δx i + δ/δy j + δ/δz k

grad f(x,y) = [ δ/δx i , δ/δy] = [ 2y , x+2 ]

at the point ( -1 , 2 )

grad f(x,y) = [4 , 1]

| grad f(x,y) | = √ (4)² + (1)² = √17

4 0

3 years ago

it takes one fourth of a gallon of paint covers one fifth of a car how much paint covers the whole car

Komok [63]

Answer:

The volume of paint that covers the whole car is $1\frac{1}{4}$ gallons or one and a quarter gallons.

Step-by-step explanation:

Let the volume of paint required to cover whole car be 'x'.

Given:

Volume of paint to cover one-fifth of a car = one-fourth of a gallon.

We use unitary method to determine the volume of paint required.

∵ One-fifth of a car requires paint = $\frac{1}{4}\ gal$

∴ Whole volume of car requires paint = $\frac{\frac{1}{4}}{\frac{1}{5}}$

$=\frac{1}{4}\times \frac{5}{1}\\=\frac{5}{4}\\=1\frac{1}{4}\ gal$

Therefore, the volume of paint that covers the whole car is $1\frac{1}{4}$ gallons or one and a quarter gallons.

5 0

3 years ago

Please can someone help me out

lara31 [8.8K]

Answer:

380.1

Step-by-step explanation:

Area = 22/7 × 11 × 11 =380.3

8 0

3 years ago

5x-1/5=7/3 <br> Find The LCD That would eliminate the fractions

photoshop1234 [79]

Answer:

$x=\frac{7}{15}$

Step-by-step explanation:

$5x-\frac{1}{5} =\frac{7}{3}$

$5x - \frac{3}{15} = \frac{35}{15}$

$5x - \frac{3}{15} + \frac{3}{15} = \frac{35}{15} + \frac{3}{15}$

$5x=\frac{35}{15}$

$\frac{5x}{5} } =\frac{\frac{35}{15}}{5}$

$x=\frac{7}{15}$

7 0

2 years ago

Adam has game and education apps on his tablet. He noticed that he has 4 game apps for every 3 education apps. Which of the foll

Elena L [17]

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3 years ago