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Misha Larkins [42]
3 years ago
8

Factor: 3bc-4ad +6ac-2bd Can you create a rubric for this math question

Mathematics
1 answer:
Trava [24]3 years ago
7 0

Answer:

(3c−2d)(2a+b)

Step-by-step explanation:

3bc−4ad+6ac−2bd

Do the grouping 3bc−4ad+6ac−2bd=(6ac−4ad)+(3bc−2bd), and factor out 2a in the first and b in the second group.

2a(3c−2d)+b(3c−2d)

Factor out common term 3c−2d by using distributive property.

(3c−2d)(2a+b)

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Question :
Elza [17]

Answer:

C) 405.3 ft

Step-by-step explanation:

A triangle is a polygon with three angles and three sides. Types of triangle are scalene, isosceles, equilateral, right angled triangle.

Given a triangle with angles A, B, C and the corresponding sides directly opposite to the angles as a, b, c. The sine rule states that:

\frac{a}{sin(A)}= \frac{b}{sin(B)} =\frac{c}{sin(C)}

In the triangle formed by point C, ship B and ship A, we have ∠A = 82°, ∠B = 78°, c = AB = 140 ft. Hence:

∠A + ∠B + ∠C = 180° (sum of angles in a triangle)

82 + 78 + ∠C = 180

∠C + 160 = 180

∠C = 20°

Using sine rule:

\frac{c}{sin(C)}=\frac{a}{sin(A)}\\\\\frac{140}{sin(20)}=\frac{a}{sin(82)}\\\\a=    \frac{140*sin (82)}{sin(20)}\\\\a=405.3\ ft

a =  distance from Ship B to the signal fire at point C

8 0
3 years ago
88,999 Round to the nearest ten thousand
Bess [88]
It would be 90999 I am really sure :D
5 0
3 years ago
Read 2 more answers
The graph shown below expresses a radical function that can be written in the form f(x)= a(x + k)^1/n +C. What does the graph te
MAXImum [283]

Answer:

  C.  <em>c</em> is less than zero

Step-by-step explanation:

The parent radical function y=x^(1/n) has its point of inflection at the origin. The graph shows that point of inflection has been translated left and down.

<h3>Function transformation</h3>

The transformation of the parent function y=x^(1/n) into the function ...

  f(x) = a(x +k)^(1/n) +c

represents the following transformations:

  • vertical scaling by a factor of 'a'
  • left shift by k units
  • up shift by c units

<h3>Application</h3>

The location of the inflection point at (-3, -4) indicates it has been shifted left 3 units, and down 4 units. In the transformed function equation, this means ...

  • k = 3
  • c = -4

The graph says the value of c is less than zero.

__

<em>Additional comment</em>

Apparently, the value of 'a' is 2, and the value of n is 3. The equation of the graph seems to be ...

  f(x) = 2(x +3)^(1/3) -4

8 0
2 years ago
Find the approximate side length of a square game board with an area of 123 inches to the second power
aleksklad [387]
61.5 or 61 and one half
4 0
3 years ago
Evaluate the function:<br><br> f(x)=4x−1, find f(9)
Eddi Din [679]

Answer:

f(9) = 35

Step-by-step explanation:

To solve this, you can take 9 and replace both x's with it and then complete the equation;

f(x) = 4x - 1

f(9) = 4(9) - 1

f(9) = 36 - 1

f(9) = 35

Hope this helps!

3 0
2 years ago
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