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aliina [53]
3 years ago
8

Exercise I: Fruit ninja 1. Determine the surface S given by the equation x 2 − 4x + y 2 − 2y + z 2 − 6z = 2. 2. Find an equation

of the plane P going through the points (1, 1, 1), (1, 4, −2), and (−1, 0, 4), of the form ax + by + cz + d = 0. 3. Clearly, the intersection of S and P is a circle. Compute the radius r of this circle. You may want to draw a picture first, and use a result seen in class!

Mathematics
1 answer:
nalin [4]3 years ago
6 0

Answer:

Step-by-step explanation:

Detailed solution on the attached pictures

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Solve: 3x^3-x^2-38x-24
Goryan [66]
The answer is:

(3x+2)(x+3)(x-4)
3 0
3 years ago
:. In the diagram below, AC is congruent to CE and D is the midpoint of CE. If CE = 10x + 18, DE = 7x - 1, and BC = 9x - 2, find
mihalych1998 [28]

Answer:

25

Step-by-step explanation:

Since AC is similar to CE, we can say that they have equal lengths. We are given CE, DE, and BC. To solve this, we can solve for the length of CE (equal to AC) and then subtract that from BC.

To solve for CE, we are given DE and CE. We know that DE is 1/2 of CE because D is the midpoint of CE. Therefore,

7x-1 = 1/2(10x+18)

expand

7x-1 = 5x  + 9

add 1 to both sides to separate the 7x

7x = 5x + 10

subtract 5x from both sides to separate the x

2x = 10

divide both sides by 2 to separate the x

x=5

Therefore, DE = 7(5)-1 = 34 and CE = 10(5) + 18 = 68 = AC.

Using x=5, we know that BC  = 9(5) -2 = 43

Therefore, AB = AC-BC = 68-43 = 25

3 0
3 years ago
The mean of seven positive integers is 16. When the smallest of these seven integers is removed, the sum of the remaining six in
VashaNatasha [74]

Answer: The value of the integer that was removed = 4

Step-by-step explanation:

Sum of <em>n</em> values= Mean x <em>n</em>

Given: n = 7 , Mean = 16

Let x= integer removed.

Sum of remaining 6 integers = 6

\Rightarrow\ x+108 = 16\times7\\\\\Rihghtarrow\ x+108= 112\\\\\Rightarrow\ x=112-108\\\\\Rightarrow\ x= 4

Hence, the value of the integer that was removed = 4

8 0
3 years ago
If x increases by 2, y increase by
a_sh-v [17]

Answer:

3

Step-by-step explanation:

2a = - 6

a = - 3

3(x + 2) + 2(y - 3) = 9

6 0
3 years ago
Adrians recipe for cranberry relish calls for 1 3/4 cups of sugar. He wants to use 1/2 that amount. How much sugar should he use
kicyunya [14]

13/4 divided by 1/2 equals 6  1/2


so he should use 6  1/2 cups of sugar

3 0
3 years ago
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