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SCORPION-xisa [38]
3 years ago
14

2(5+xi)-21+5i=3yi^2-3yi

Mathematics
1 answer:
kirill [66]3 years ago
7 0

Answer:

x = -8, y = 11/3

Step-by-step explanation:

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Two triangles can be formed with the given information. Use the Law of Sines to solve the triangles. A = 55°, a = 12, b = 14
Mkey [24]
The way you'd set it up would be sin55º/12=sinB/14 (you could also flip the equation so that 12/sin55º=14/sinB, you'll get the same answer either way). Multiply out so that its 14•sin55º=12•sinB, or 11.47=12•sinB. Divide both sides by 12 so that it looks like .96=sinB, then take arcsine of both sides (arcsin= x=sin^-1 theta+360n or x=180- (sin^-1 theta)+360n), which should give you about 72.88º and 107.12º.
6 0
3 years ago
Read 2 more answers
A store is offering a 20% discount on all items. Is there a proportional relationship between the original price of an item and
professor190 [17]

Answer:

A store is offering a 14% discount on all items. Write an equation relating the sale price S for an item to its list price L.

Step-by-step explanation:

8 0
3 years ago
Find f such that the given conditions are satisfiedf’(x)=x-4, f(2)=-1
kicyunya [14]

Given:

f^{\prime}\left(x\right)=x-4,\text{ and}f\left(2\right)=-1

To find:

The correct function.

Explanation:

Let us consider the function given in option D.

f(x)=\frac{x^2}{2}-4x+5

Differentiating with respect to x we get,

\begin{gathered} f^{\prime}(x)=\frac{2x}{2}-4 \\ f^{\prime}(x)=x-4 \end{gathered}

Substituting x = 2 in the function f(x), we get

\begin{gathered} f(2)=\frac{2^2}{2}-4(2)+5 \\ =2-8+5 \\ =-6+5 \\ f(2)=-1 \end{gathered}

Therefore, the given conditions are satisfied.

So, the function is,

f(x)=\frac{x^{2}}{2}-4x+5

Final answer: Option D

6 0
2 years ago
Classify each function as even, odd, or neither even nor odd.
drek231 [11]

The function

f(x) is even

g(x) is neither even nor odd

h(x) is odd

Steps:

for an even function it holds that f(-x) = f(x):

f(-x) = (-1)^6 x^6  - (-1)^4 x^ 4 = x^6 - x^4 = f(x) => f is even

for an odd h(x) it holds that h(-x) = -h(x):

h(-x) = (-1)^5x^5-(-1)^3x^3 = -(x^5-x^3) = -h(x) \implies h(x)\,\, \mbox{even}

It is easy to show that g(x) does not match any of the two possibilities above.


8 0
3 years ago
Read 2 more answers
Mr. Jamison will stain the deck in his backyard, the deck has an area of 752.4 sqaure feet. If the deck is 33 feet long how wide
shtirl [24]

answer:The width of the deck is 22.8 feet.

Step-by-step explanation:

Since we have given that

Area of the deck = 752.4 square feet

Length of deck = 33 feet

Let width of deck be 'x'.

Since Deck is in the shape of rectangle.

As we know the formula for "Area of rectangle ":

\begin{gathered}Area=Length\times width\\\\752.4=33\times x\\\\\dfrac{752.4}{33}=x\\\\22.8=x\end{gathered}

Area=Length×width

752.4=33×x

33

752.4

=x

22.8=x

Hence, the width of the deck is 22.8 feet.

6 0
3 years ago
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