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Dennis_Churaev [7]
3 years ago
8

What is the distance between (-8,2) and (4,4)

Mathematics
1 answer:
zzz [600]3 years ago
3 0

Answer:

d = 2√3

Step-by-step explanation:

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Find the volume of the solid under the plane 5x + 9y − z = 0 and above the region bounded by y = x and y = x4.
svp [43]
<span>For the plane, we have z = 5x + 9y

For the region, we first find its boundary curves' points of intersection.
x = x^4 ==> x = 0, 1.

Since x > x^4 for y in [0, 1],

The volume of the solid equals

\int\limits^1_0 { \int\limits_{x^4}^x {(5x+9y)} \, dy } \, dx = \int\limits^1_0 {\left[5xy+ \frac{9}{2} y^2\right]_{x^4}^{x}} \, dx  \\  \\ =\int\limits^1_0 {\left[\left(5x(x)+ \frac{9}{2} (x)^2\right)-\left(5x(x^4)+ \frac{9}{2} (x^4)^2\right)\right]} \, dx  \\  \\ =\int\limits^1_0 {\left(5x^2+ \frac{9}{2} x^2-5x^5- \frac{9}{2} x^8\right)} \, dx =\int\limits^1_0 {\left( \frac{19}{2} x^2-5x^5- \frac{9}{2} x^8\right)} \, dx \\  \\ =\left[ \frac{19}{6} x^3- \frac{5}{6} x^6- \frac{1}{2} x^9\right]^1_0

=\frac{19}{6} - \frac{5}{6} - \frac{1}{2} =\bold{ \frac{11}{6} \ cubic \ units}</span>
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3 years ago
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Valentin [98]
I’m 99% sure it’s D because you would add both those numbers to equal his debt that day
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421.2 - 305.8<br> Using mental math
Nitella [24]

Answer:

114.4

Step-by-step explanation:

421.2

-305.2

114.4

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It's D. 108 • ___________
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2 years ago
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katrin [286]

Answer:

answer is 24

out of 45,

24+10=singing

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so 24 girls joined both

3 0
3 years ago
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