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STatiana [176]
3 years ago
11

How do you solve that

Mathematics
1 answer:
lakkis [162]3 years ago
4 0
Well, one line is equal to 180
 Starting with the bottom half, there is a right angle so 180-90 is 90
then take the degree that is given to you(47) and subtract it 90-47 is 43 
so angle 4 is 43 <span>°  
given that,andgle 3 is 90</span><span>°  because its equal to the right triangle on the bottom 
</span>2 is equal to 4(43<span>° )
</span>which leaves 1 to be 47<span>° 
</span>
Hope this helps


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Which of the following functions could be f(x) ?
notka56 [123]

Answer:

B.  f(x) = -x^3 - x^2 + 7x - 4

Step-by-step explanation:

For this problem, we want to find the fastest-growing term in our given expressions and equate them when x is - infinite and when x is infinite to see the given trends.

For each of these equations, we will simply take the terms with the highest power and consider those.  The two cases we need to consider is + infinite for x and - infinite for x.  Let's check each of these equations.

Note, any value raised to an even power will be positive.  Any negative value raised to an odd power will be negative.

<u>[A] - x^4</u>

<em>When x is +∞ --> - (∞)^4 -->  f(x) is -∞</em>

<em>When x is -∞ --> - (-∞)^4 --> f(x) is -∞</em>

<em />

<u>[B] - x^3</u>

<em>When x is +∞ --> - (∞)^3 --> f(x) is -∞</em>

<em>When x is -∞ --> - (-∞)^3 --> f(x) is ∞</em>

<em />

<u>[C] 2x^5</u>

<em>When x is +∞ --> 2(∞)^5 --> f(x) is ∞</em>

<em>When x is -∞ --> 2(-∞)^5 --> f(x) is -∞</em>

<em />

<u>[D] x^4</u>

<em>When x is +∞ --> (∞)^4 --> f(x) is ∞</em>

<em>When x is -∞ --> (-∞)^4 --> f(x) is ∞</em>

<em />

Notice how only option B, when looking at asymptotic (fastest-growing) values, satisfies the originally given conditions for the relation of x to f(x).

Cheers.

8 0
4 years ago
Given the polynomial 2x3 18x2 − 18x − 162, what is the value of the constant 'k' in the factored form? 2x3 18x2 − 18x − 162 = 2(
oee [108]

The value of the constant 'k' in the factored form factorization the provided polynomial equation is 3.

<h3>What is polynomial equation?</h3>

Polynomial equations is the expression in which the highest power of the unknown variable is n (n is real number).

The factor of a polynomial is the terms in linear or equation form, which are when multiplied together, give the original polynomial equation as result.

The given polynomial equation in the problem is,

2x^3 +18x^2 - 18x - 162

The factor of the polynomial equation are given as,

2(x+ k)(x - k)(x +9)

First find out the factors to compare and find the value of k.The above equation has the unknown variable x and the highest power of this unknown variable is 3.

Take out the highest common factor 2, which can divide each term of the above equation (2, 18, -18, -162). Thus,

2(x+ k)(x - k)(x +9)=2(x^3 +9x^2 - 9x - 81)

Take out the highest common factor to make the groups as,

2(x+ k)(x - k)(x +9)=2(x^2( x+9) - 9(x + 9))\\2(x+ k)(x - k)(x +9)=2( x+9) (x^2 - 9)\\2(x+ k)(x - k)(x +9)=2( x+9) (x^2 - 3^2)

Use the property of difference of the square for the (x²-3²) term as,

2(x+ k)(x - k)(x +9)=2( x+9) (x+3)(x-3)\\2(x+ k)(x - k)(x +9)=2 (x+3)(x-3)( x+9)

On comparing the two equation, we get the value of k as 3. Thus, the value of the constant 'k' in the factored form factorization the provided polynomial equation is 3.

Learn more about factor of polynomial here;

brainly.com/question/24380382

7 0
2 years ago
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vesna_86 [32]

Answer:

220 degrees

Step-by-step explanation:

120 degrees + 100 degrees= 220 degrees

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