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2 years ago

What value of x makes the equation true?

Mathematics

2 answers:

dedylja [7]2 years ago

8 0

Answer: The correct option is

(A) -4.

Step-by-step explanation: We are given to find the value of x that makes the following equation true :

$1.4x+2.6x=-16~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)$

To find the value of x, we must solve the given equation.

The solution of equation (i) is as follows :

$1.4x+2.6x=-16\\\\\Rightarrow (1.4+2.6)x=-16\\\\\Rightarrow 4x=-16\\\\\Rightarrow x=-\dfrac{16}{4}\\\\\Rightarrow x=-4.$

Thus, the required value of x is -4.

Option (A) is CORRECT.

NNADVOKAT [17]2 years ago

5 0

x= -4 because 1.4 times -4=- 5.6 and 2.6 times -4=-10.4 and when we add to numbers postive or negative numbers it stays positive or negative depnding on the problem and 10.4 + 5.6 + 16 however becuase both were negative the answers stays negative making the answer _ 16 and it says 1.4x+2.6x=-16 so the correct answer is x= -4

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suter [353]

If you know that $\sin\dfrac\pi3=\dfrac12$ , then you know right away

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###

Otherwise, you can derive the same result. Let $\theta=\sin^{-1}\dfrac12$ , so that $\sin\theta=\dfrac12$ . $\sin^{-1}$ is bounded, so we know $-\dfrac\pi2\le\theta\le\dfrac\pi2$ . For these values of $\theta$ , we always have $\cos\theta\ge0$ .

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3 years ago

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Find the area of the triangle defined by the coordinates (7, 1), (0, 10), and (9, 4). (To the nearest tenth)

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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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