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krek1111 [17]
3 years ago
11

What is AC if AB = 5 and BC = 11.

Mathematics
1 answer:
Georgia [21]3 years ago
4 0

Answer:

Step-by-step explanation:

5 + 11 = 16 for AC

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What is the value of 7(x+4)² - 3x when x = 2?
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Step-by-step explanation:

When x=2 and y=4,

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5 0
3 years ago
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]
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For the region, we first find its boundary curves' points of intersection.
x = x^4 ==> x = 0, 1.

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\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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Step-by-step explanation:

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aleksklad [387]

It is certainly possible for a function decreasing over a certain interval to be negative, but no rule that says it must be. On the other hand, where the function is decreasing, the rate of change of the function must be negative.


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Step-by-step explanation:

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