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SpyIntel [72]
3 years ago
12

What is the slope of y=1

Mathematics
1 answer:
masya89 [10]3 years ago
6 0

Answer:

The slope-intercept form is y=mx+b y = m x + b , where m is the slope and b is the y-intercept. Using the slope-intercept form, the slope is 0 .

Step-by-step explanation:

Hope this helps :)

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Find the volume of the solid of revolution generated by revolving the region bounded by y = 2x^2, y = 0, and x = 2 about the x-a
Irina18 [472]

Answer:

128 \pi/5 units^3

Step-by-step explanation:

The volume of the solid revolution is expressed as;

V = \int\limits^2_0 {\pi y^2} \, dx

Given y = 2x²

y² = (2x²)²

y² = 4x⁴

Substitute into the formula

V = \int\limits^2_0 {4\pi x^4} \, dx\\V =4\pi \int\limits^2_0 { x^4} \, dx\\V = 4 \pi [\frac{x^5}{5} ]\\

Substituting the limits

V = 4 \pi ([\frac{2^5}{5}] - [\frac{0^5}{5}])\\V = 4 \pi ([\frac{32}{5}] - 0)\\V = 128 \pi/5 units^3

Hence the volume of the solid is 128 \pi/5 units^3

5 0
3 years ago
What's 9/5 divided by 14/15? im stuck
Varvara68 [4.7K]

Answer:

When you divide fractions, you multiply by the reciprocal, So, you would have 9/5 * 15/14 you can cancel,  and get 9/1 * 3/14, and end up with 27/14,

5 0
2 years ago
HELP URGENT!!!!!!!!!!!!!!!!!!!!!!!!
r-ruslan [8.4K]

Answer:

The equation has an Inifinite amount of solutions

Step-by-step explanation:

2 ( 3g + 2 ) = 1/2 ( 12g + 8 )

First use the distributive property of multiplication -

6g + 4 = 6g + 4

6g cancels out from both sides of the equation -

4 = 4

When both sides of an equation are the same there is an infinite amount of solutions.

Hope this helped! :)

8 0
3 years ago
Read 2 more answers
Identify the equation for the circle with center (3, 7) that contains the point (9, 11).
Finger [1]

Answer:

(x-3)^2+(y-7)^2=2\sqrt{13}

Step-by-step explanation:

The equation of a circle:

(x-h)^2+(y-k)^2=r^2

(h, k) - center

r - radius

We have the center (4, -3) and the point on the circle (9, -3).

The length of radius is equal to the distance between a center and an any point on a circle.

The formula of a distance between two points:

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

Susbtitute:

r=\sqrt{(9-3)^2+(11-7)^2}\\\\=\sqrt{6^2+4^2}\\\\=\sqrt{52}\\\\=2\sqrt{13}

The center (3, 7) → h = 3, k = 7.

Finally we have:

(x-3)^2+(y-7)^2=2\sqrt{13}

8 0
3 years ago
3. A recent tornado in a small town in Southwest New York destroyed and damaged
tester [92]

Answer:

\text{Area of the Land}=62906.91 ft^2

Step-by-step explanation:

To determine the area of the land, we first determine the length of the base.

Since it is a isosceles trapezoid,

Length of the base =(228+2x)ft where x is the base of the triangle.

In the Right Triangle,

Perpendicular Height =209 ft

Hypotenuse =221.38 ft

Using <u>Pythagoras Theorem:</u>

Hypotenuse^2=Opposite^2+Adjacent^2\\221.38^2=209^2+x^2\\x^2=221.38^2-209^2\\x^2=5328.1044\\x=\sqrt{5328.1044} \\x=72.99\: ft

Therefore, the length of the isosceles' trapezoid base

=228+2(72.99)=373.98ft

Area of a trapezoid

A=\frac{1}{2}(a+b)h\\$Where a and b are the parallel sides\\h=Perpendicular Height

a=228ft, b=373.98ft, h=209ft

Area=\frac{1}{2}(228+373.98)209\\=\frac{1}{2}*601.98*209\\$Area of the Land=62906.91 ft^2

4 0
3 years ago
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