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sergij07 [2.7K]
3 years ago
15

Please find the unknown with all steps ​

Mathematics
1 answer:
kirill [66]3 years ago
4 0

Answer:

see explanation

Step-by-step explanation:

Since AC = BC then ΔABC is isosceles with base angles

∠BAC =∠ABC, thus

3x + x = 70

4x = 70 ( divide both sides by 4 )

x = 17.5

----------------------------------------------------

∠ADC is an external angle of ΔABD and the external angle is equal to the 2 opposite interior angles, hence

y = 70 + x = 70 + 17.5 = 87.5

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What are the roots of the polynomial equation x^3-5x+5=2x^2-5? Use a graphing calculator and a system of equations. Round nonint
leonid [27]

The right answer is c. –2.24, 2, 2.24


This question needs to be solved in two ways. First, using a graphing calculator. Next, using a system of equations.


1. Using a graphing calculator.


We have the following polynomial equation:

x^3-5x+5=2x^2-5


By ordering this equation we have:

x^3-2x^2-5x+10=0


So, we can say that this equation comes from a function given by:

f(x)=x^3-2x^2-5x+10


Thus, by plotting this function, we have that the graph of this function is indicated in Figure 1. By zooming, we can see, in Figure 2, that the roots of the polynomial equation are the x-intercepts of f(x) which are:


x_{1}=-2.236 \\ \\ x_{2}=2 \\ \\ x_{3}=2.236


Finally, rounding noninteger roots to the nearest hundredth we have:


\boxed{Root_{1}=-2.24} \\ \\ \boxed{Root_{2}=2} \\ \\ \boxed{Root_{3}=2.24}


2. Using a system of equations.


The ordered equation is:

x^3-2x^2-5x+10=0


By arranging to factor out we have:

x^3-5x-2x^2+10=0


Then, by factoring:

x(x^2-5)-2(x^2-5)=0


Term (x^2-5) is a common factor, thus:


(x-2)(x^2-5)=0 \\ \\ (x-2)(x-\sqrt{5})(x+\sqrt{5})=0 \\ \\ Finally: \\ \\ \boxed{Root_{1}=-\sqrt{5}=-2.24} \\ \\ \boxed{Root_{2}=2} \\ \\ \boxed{Root_{3}=\sqrt{5}=2.24}

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To find the number of non-defective chips, we simply use this equation:
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Shobos mother present age is six times shobos present age. Shobos age five from now will be one third of his mother's present ag
r-ruslan [8.4K]

Answer:

Step-by-step explanation:

From the problem statement, we can setup the following equations:

M = 6S

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Substituting the first equation into the second will allow us to solve for S:

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The solution to this system of inequalities x + y>4  , x + y <3 is Option A

The complete question is

Which graph shows the solution to this system of inequalities? x + y>4 x + y <3

The image are attached with the answer.

<h3>What are Inequality ?</h3>

When an expression is equated with another expression by an Inequality operator (< , >  < etc) then the mathematical statement formed is called Inequality.

The inequalities are

x+y>4

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After plotting both the inequalities in the graph the following graph that is attached with the answer is obtained.

Therefore the correct answer is Option A

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brainly.com/question/20383699

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