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hoa [83]
2 years ago
5

Evaluate 3+jk+k^3 when j=2 and k=6

Mathematics
1 answer:
S_A_V [24]2 years ago
6 0

Answer:

3 + 2(6) + 6^3 = 231

Step-by-step explanation:

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Find the vertex of this parabola:<br> y = -x2 - 6x - 10
MAVERICK [17]

Answer:-10

Step-by-step explanation: The slope-intercept form is

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y

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y

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8 0
3 years ago
Read 2 more answers
✓-32<br><br>imaginary numbers​
Lynna [10]

Answer:

<em><u>√</u></em><em><u>-32 imaginary numbers</u></em>

\sqrt{ - 32} \\   =  \sqrt{ - 1 \times 16 \times 2}  \\  =  \sqrt{ - 1}  \times  \sqrt{16}  \times  \sqrt{2}  \\  =\boxed{ 4 \sqrt{2} i}

<h3>4√2i is the right answer.</h3>
8 0
3 years ago
Find the length of each diagnol and the area
katrin [286]

Answer:

The length of diagonal BD is 11·(1 + √3)

The length of diagonal AC = 22

Step-by-step explanation:

The given data are;

Quadrilateral ABCD = A kite

The length of segment AD = 22

The measure of ∠DAE = 60°

The measure of ∠BCEE = 45°

Whereby, triangle ΔADE = A right triangle, and DE is the perpendicular bisector of AC, by trigonometric ratio, we have;

AE = EC

DE = 22 × sin(60°) = 11·√3

AE = 22 × cos(60°) = 11

∴ AE = EC = 11

BE = EC × tan(∠BCE) = 11 × tan(45°) = 11

The length of the diagonal BD = BE + DE (By segment addition property)

∴ BD = 11 + 11·√3 = 11·(1 + √3)

The length of diagonal BD = 11·(1 + √3)

The length of diagonal AC = AE  + EC

∴ AC + 11 + 11 = 22

The length of diagonal AC = 22.

7 0
3 years ago
MATH HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
nordsb [41]

1. intersection is all the numbers both sets have in common

 so 3, ,7 , 13


2. union is all the numbers from both sets so 1, 5, 8, 12, 17

7 0
2 years ago
A dormitory has 40 students---12 sophomores, 8 juniors, and 20 seniors. Which of the following is equal to the number of ways to
Maurinko [17]

Answer:

The number of ways is equal to 12!8!20!

Step-by-step explanation:

The multiplication principle states that If a first experiment can happen in n1 ways, then a second experiment can happen in n2 ways ... and finally a i-experiment can happen in ni ways therefore the total ways in which the whole experiment can occur are

n1 x n2 x ... x ni

Also, given n-elements in which we want to put them in a row, the total ways to do this are n! that is n-factorial.

For example : We want to put 4 different objects in a row.

The total ways to do this are 4!=4.3.2.1=24 ways.

Using the multiplication principle and the n-factorial number :

The number of ways to put all 40 in a row for a picture, with all 12 sophomores on the left,all 8 juniors in the middle, and all 20 seniors on the right are : The total ways to put all 12 sophomores in a row multiply by the ways to put the 8 juniors in a row and finally multiply by the total ways to put all 20 senior in a row ⇒ 12!8!20!

4 0
3 years ago
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