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3 years ago

Graph triangle XYZ with vertices X(0, -4), Y (4, -1), and Z(6, -3) on the coordinate grid.

Mathematics

1 answer:

gogolik [260]3 years ago

6 0

Answer:

Step-by-step explanation:

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A lamina with constant density rho(x, y) = rho occupies the given region. Find the moments of inertia Ix and Iy and the radii of

jenyasd209 [6]

Answer:

Ix = Iy = $\frac{ρπR^{4} }{16}$

Radius of gyration x = y = $\frac{R}{4}$

Step-by-step explanation:

Given: A lamina with constant density ρ(x, y) = ρ occupies the given region x2 + y2 ≤ a2 in the first quadrant.

Mass of disk = ρπR2

Moment of inertia about its perpendicular axis is $\frac{MR^{2} }{2}$ . Moment of inertia of quarter disk about its perpendicular is $\frac{MR^{2} }{8}$ .

Now using perpendicular axis theorem, Ix = Iy = $\frac{MR^{2} }{16}$ = $\frac{ρπR^{4} }{16}$ .

For Radius of gyration K, equate MK2 = MR2/16, K= R/4.

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3 years ago

PLS HELP ASAP If -2 is added to each of the x and y intercepts of the line 3x + 2y = 6, find the new equation of the line

ella [17]

Answer:

3x + 2y = -4

Step-by-step explanation:

x intercept of the line occurs at y = 0

Given the equation 3x+2y = 6

3x+2(0) = 6

3x = 6

x = 2

The x intercept is at (2, 0)

Adding -2 to each axis will give (2-2, 0-2) = (0, -2)

y intercept of the line occurs at x = 0

Given the equation 3x+2y = 6

3(0)+2y = 6

2y = 6

y =3

The x intercept is at (0, 3)

Adding -2 to each axis will give (0-2, 3-2) = (-2, 1)

The new coordinates are (0, -2 and (-2, 1)

Using the point slope form of the equation y - y0 = m(x-x0)

slope m = y2-y1/x2-x1

m = 1-(-2)/-2-0

m = 1+2/-2

m = -3/2

Using m = -3/2 and (0, -2)

y - (-2) = -3/2(x-0)

y+2 = -3/2 x

2(y+2) = -3x

2y+4 = -3x

-3x-2y = 4

3x + 2y = -4

Hence the required equation is 3x + 2y = -4

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3 years ago

100 POINT QUESTION + BRANLIESt What is 2+2?

Maru [420]

Answer:

Step-by-step explanation:

Yeah if you don't know this one... you're... special.

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3 years ago

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Simplify 7^6 x 7^5 Please help meh

Alecsey [184]

Answer:

134456

Step-by-step explanation:

$7^{6}$ = 7 · 7 · 7 · 7 · 7 · 7

Therefore, $7^{6}$ = 117,649

$7^{5}$ = 7 · 7 · 7 · 7 · 7

Therefore, $7^{5}$ = 16,807

So, $7^{6}$ + $7^{5}$ = 134456

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3 years ago

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The number line shows the locations of points P 0. R. and S 털 HR & -7 -6 = Which points have a distance of 5 units between t

Svetradugi [14.3K]

Answer: point P and point S

Step-by-step explanation:

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3 years ago