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monitta
3 years ago
8

Add. Simplify the answer and write it as a mixed number. 1/4+4/5+9/10

Mathematics
2 answers:
melamori03 [73]3 years ago
7 0

Answer:

1\frac{19}{20}

Step-by-step explanation:

djverab [1.8K]3 years ago
5 0

Answer:

39/20 = 1.95

That's my simplified answer

39/20 = 1 19/20

Will this help?

Step-by-step explanation:

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What is the solution to this system of linear equations? y − 4x = 7 2y + 4x = 2 (3, 1) (1, 3) (3, −1) (−1, 3)
ohaa [14]
Y - 4x = 7...y = 4x + 7
now sub 4x + 7 in for y in the other equation
2y + 4x = 2
2(4x + 7) + 4x = 2
8x + 14 + 4x = 2
12x = 2 - 14
12x = - 12
x = -1

y - 4x = 7
y - 4(-1) = 7
y + 4 = 7
y = 7 - 4
y = 3

solution is : (-1,3)
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PLEASE HELP ASAP: <br> What is the exact volume of the cone?
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Answer:

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Step-by-step explanation:

second option 400/3

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Solve the equation for θ, where 0 ≤ θ ≤ 2π.
leonid [27]

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Find the equation of the tangent line to the curve (a lemniscate)
olya-2409 [2.1K]

Answer:

m=\frac{9}{13} and b=\frac{40}{13}

Step-by-step explanation:

The equation of curve is

2(x^2+y^2)^2=25(x^2-y^2)

We need to find the equation of the tangent line to the curve at the point (-3, 1).

Differentiate with respect to x.

2[2(x^2+y^2)\frac{d}{dx}(x^2+y^2)]=25(2x-2y\frac{dy}{dx})

4(x^2+y^2)(2x+2y\frac{dy}{dx})=25(2x-2y\frac{dy}{dx})

The point of tangency is (-3,1). It means the slope of tangent is \frac{dy}{dx}_{(-3,1)}.

Substitute x=-3 and y=1 in the above equation.

4((-3)^2+(1)^2)(2(-3)+2(1)\frac{dy}{dx})=25(2(-3)-2(1)\frac{dy}{dx})

40(-6+2\frac{dy}{dx})=25(-6-2\frac{dy}{dx})

-240+80\frac{dy}{dx})=-150-50\frac{dy}{dx}

80\frac{dy}{dx}+50\frac{dy}{dx}=-150+240

130\frac{dy}{dx}=90

Divide both sides by 130.

\frac{dy}{dx}=\frac{9}{13}

If a line passes through a points (x_1,y_1) with slope m, then the point slope form of the line is

y-y_1=m(x-x_1)

The slope of tangent line is \frac{9}{13} and it passes through the point (-3,1). So, the equation of tangent is

y-1=\frac{9}{13}(x-(-3))

y-1=\frac{9}{13}(x)+\frac{27}{13}

Add 1 on both sides.

y=\frac{9}{13}(x)+\frac{27}{13}+1

y=\frac{9}{13}(x)+\frac{40}{13}

Therefore, m=\frac{9}{13} and b=\frac{40}{13}.

5 0
3 years ago
the acceleration of an object due to gravity is 32 feet per second squared . what is the acceleratiin due to gravity in inches p
Hitman42 [59]
1 foot = 12 inches
32 · 12 = 384 in/ s²
Answer: A ) 384 inches per second squared
Hope this helps you !!
3 0
3 years ago
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