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3 years ago

What is the substitution for 3x+4y^2 if x= -2 and y=3?

Mathematics

1 answer:

Hitman42 [59]3 years ago

8 0

Answer:

Step-by-step explanation:

x= -2 and y= 3

Hence, simply put it in the equation:

3x + 4y^2

3(-2) + 4(3)^2

-6 + 4(9)

-6 + 36

Hope this helps!

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8-35. Use your knowledge of polygons to answer the questions below, if possible.

Nataliya [291]

Answer:

(a)I. 13 Sides II. 7 Sides

(b) 4 Sides, Square

(c)x=52 degrees

(d)x=107 degrees

(e)1620 degrees

Step-by-step explanation:

(a)The Sum of the Interior angle of polygon with n sides is derived using the formula: (n-2)180.

I. If the Interior angle is $1980^0$

Then:

$(n-2)180^0=1980^0\\$Divide both sides by 180^0 $ to isolate n$\\n-2=11\\$Add 2 to both sides of the equation\\n-2+2=11+2\\n=13$

The polygon has 13 sides.

II. If the Interior angle is $900^0$

Then:

$(n-2)180^0=900^0\\$Divide both sides by 180^0 $ to isolate n$\\n-2=5\\$Add 2 to both sides of the equation\\n-2+2=5+2\\n=7$

The polygon has 7 sides.

(b)The sum of the exterior angle of a polygon is 360 degrees,

Each exterior angle of a n-sided regular polygon is: $\frac{360^0}{n}$

If the exterior angle of a regular polygon is 90°

Then:

$90\°=\frac{360^0}{n}\\ 90n=360\\n=4$

The regular polygon has 4 sides and it is called a Square.

(c)The Sum of the Interior angle of polygon with n sides is derived using the formula: (n-2)180.

Each Interior angle of a regular n-sided polygon is: $\frac{(n-2)180^0}{n}$

For a pentagon, n=5

Then:

$\frac{(5-2)180^0}{5}=2x+4\\108=2x+4\\108-4=2x\\104=2x\\x=52^0$

(d)The sum of the exterior angle of a polygon is 360 degrees.

If four of the exterior angles of a pentagon are 57, 74, 56, and 66.

Let the fifth angle=x

Then:

$57+74+56+66+x=360^0\\253+x=360\\x=107^0$

(e)The Sum of the Interior angle of polygon with n sides is derived using the formula: (n-2)180.

In an 11-gon., n=11

Therefore, the sum of the interior angle=(11-2)180= $1620^0$

The sum of the interior angle does not change either in a regular or irregular polygon.

3 0

2 years ago

What is the invers function of f(x)=(n+1)^3?

zimovet [89]

Answer:

$f^{-1}(x)=\sqrt[3]{x}-1$

Step-by-step explanation:

$f(x)=(x+1)^3\\\\y=(x+1)^3\\\\x=(y+1)^3\\\\\sqrt[3]{x}=y+1\\\\y=\sqrt[3]{x}-1\\ \\f^{-1}(x)=\sqrt[3]{x}-1$

Graphing both inverses, they will be symmetrical about the line $y=x$ .

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2 years ago

The loading ramp for a truck makes a 30° angle to the ground. The back of the truck is 4' above the ground.

Gnesinka [82]

correct answer is d i think so

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2 years ago

Suppose you are going to graph the data in the table below. What data should be represented on each axis, and what should the in

Brrunno [24]

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2 years ago

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Charra [1.4K]

Since both 4 and 6 are divisible by 2, it becomes 2/3

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2 years ago

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