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4 years ago

Whcih of these equations define y as a nonlinear function of x?

Mathematics

1 answer:

dexar [7]4 years ago

8 0

Answer:

hello :

note :

the linear function of x have equation : y = ax + b

correct answer is : A) and C) and E)

A) : 3y = 2x -15

y = (2/3)x -15/3

y = ( 2/3)x -5 ..... when : a = 2/3 and b = -5

B) : 5(x+y)=-25

x + y = - 5

y = - x -5 ...... when : a = -1 and b = -5

C) y = 1

y = 0x +1 .....when : a = 0 and b = 1

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Find the are of a parallelogram that has a base of 7 1/2 and a height of 5 2/7

Amiraneli [1.4K]

Use the formula for the area of a parallelogram:

$\sf A=bh$

Plug in what we know:

$\sf A=(7\dfrac{1}{2})(5\dfrac{2}{7})$

Convert both of them into improper fractions. We do this by multiplying the denominator to the whole number, adding it to the numerator, which becomes our new numerator, and we keep the denominator the same:

$\sf A=(\dfrac{15}{2})(\dfrac{37}{7})$

Now multiply the numerators and denominators together:

$\sf A=\dfrac{15}{2}\cdot\dfrac{37}{7}\rightarrow\dfrac{15\cdot 37}{2\cdot 7}\rightarrow\dfrac{555}{14}$

Convert it back into a mixed number. 14 goes into 555 thirty-nine times. 14 * 39 = 546. 555 - 546 = 9. So we have 39 wholes and 9 left over, or:

$\sf 39\dfrac{9}{14}$

So this is the area of the parallelogram.

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3 years ago

find the value of solid figure not including hole cutout. Round to two decimal places. Cube figure is 12 feet long with 4 ft cut

Artemon [7]

Answer:

1577.20 ft³

Step-by-step explanation:

Cube of length = 12 ft = a

Hole diameter which is cutout = 4 ft = d

Hole radius which is cutout = 4/2 =2 ft = r

Volume of the cube = a³

⇒Volume of the cube = a×a×a

⇒Volume of the cube = 12×12×12

⇒Volume of the cube = 1728 ft³

The hole cut out will be in the shape of a cylinder

Volume of cylinder = πr²h

⇒Volume of cylinder = π×2²×12

⇒Volume of cylinder = 150.79 ft³

Now volume of the solid figure with hole cut out is

Volume of the cube - Volume of cylinder

=1728 - 150.79

=1577.20 ft³

∴ Volume of solid figure not including hole cutout is 1577.20 ft³

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4 years ago

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Zina [86]

Answer:

a = $\frac{r-q}{g}$

Step-by-step explanation:

Given

ga + q = r ( subtract q from both sides )

ga = r - q ( isolate a by dividing both sides by g )

a = $\frac{r-q}{g}$

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3 years ago

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ICE Princess25 [194]

Answer:

Step-by-step explanation:

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3 years ago

Rewrite the definition “All rectangles are parallelograms” in biconditional form.

harkovskaia [24]

In logic, a biconditional is a compound statement formed by combining two conditionals under "and." Biconditionals are true when both statements (facts) have the exact same truth value.

It could help you transform the statement into biconditional form.

I hope my answer has come to your help. God bless you and have a nice day ahead!

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3 years ago