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SpyIntel [72]
3 years ago
12

Complete the following equation: a2 = b2 + c2 - ______.

Mathematics
1 answer:
Dima020 [189]3 years ago
8 0

Answer:

2 bc cos A

Step-by-step explanation:

Cosine rule

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Let f(x)= lxl-3 Write a function g whose graph is a translation 5 units down of the graph of f.
soldier1979 [14.2K]

If the function "f(x) = lxl-3" were translated five units down the graph, g(x) would be lxl-8.

We must be familiar with function transformation and different forms of transformation in order to properly understand the question. When a function is transformed, the graph's curve either "moves to the left/right/up/down," "expands or compresses," or "reflects" to create a new function. For instance, by simply pushing the graph of the function g(x) = x2 up by 7 units, the graph of the function f(x) = x2 + 7 is generated. It is advantageous to convert a function since it saves us from having to create a new function from begin. Function transformations typically fall into one of three categories: 1. 2nd translation 3. dilation Reflection

The given query is about Translation of Function. To create a new function, translation moves the curve up or down and modifies its position. Translation comes in two flavours. Vertical and horizontal translation.

When the curve changes, "the function" shifts upward or downward. By doing this, a function of the form y = f(x) is transformed into f(x) ± k, where k stands for the vertical translation. In this case, the function moves up by k units if k > 0.

The function goes down by 'k' units if k < 0.

The curve in the given problem goes down by 5 units, so k = 5. Which is a vertical translation scenario. Consequently, y = f(x) becomes f(x) - k = g(x) and g(x) = f(x) - k = lxl-3 -5 = lxl - 8.

Therefore the new function after translation is g(x) =  lxl - 8.

Learn more about function and types of transformation such as translation, dilation etc here

brainly.com/question/26092237

#SPJ9

4 0
1 year ago
A car dealership had $114,000 in average monthly sales. If you made 30% of all the sales, what is your total sales? help me
Tcecarenko [31]

Answer:

I think it's $34,200

Step-by-step explanation:

$114,000 x 30% divide 100 = 34,200

6 0
3 years ago
Please help me with this one
scoray [572]

Answer:

2/36

Step-by-step explanation:

The only outcomes that lead to a sum of 3 are (2,1) and (1,2) therefore there is only a 2 in 36 chance of rolling a sum of 3

3 0
3 years ago
Evaluate y^2+7y-8 when y=-3
inessss [21]

Answer:

the answer if the first picture

Step-by-step explanation:

the second one is the explanation

6 0
3 years ago
Solve the following system of equations <br> x^2+2y^2=59<br> 2x^2+y^2=43
aivan3 [116]

Answer: x = (-3,3), y = (-5,5)

Step-by-step explanation:

Add both of the equations together, for 3x^{2}+3y^{2} = 102. Now we can divide both sides by 3, gettingx^2+y^2=34. we subtract the first equation from our equation we just got, getting y^2=25 y= (5,-5). once we plug that in, we get 50+x^2 = 59, x^2 = 9 x = (-3,3)

8 0
3 years ago
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