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natima [27]
3 years ago
11

Find the zeros of y = x + 6x- 4 by completing the square.

Mathematics
1 answer:
dsp733 years ago
8 0

Answer:

\large\boxed{x=-3\pm\sqrt{13}}

Step-by-step explanation:

(a+b)^2=a^2+2ab+b^2\qquad(*)\\\\\\x^2+6x-4=0\qquad\text{add 4 to both sides}\\\\x^2+2(x)(3)=4\qquad\text{add}\ 3^2=9\ \text{to both sides}\\\\\underbrace{x^2+2(x)(3)+3^2}_{(*)}=4+9\\\\(x+3)^2=13\Rightarrow x+3=\pm\sqrt{13}\qquad\text{subtract 3 from both sides}\\\\x=-3\pm\sqrt{13}

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A dilation with a scale factor of 2 is applied to the three line segments shown. The resulting images are P′Q′¯¯¯¯¯¯¯ , A′B′¯¯¯¯
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Since the scale factor of the dilation is 2, you would multiply each of the pre-image line segments' lengths by 2.

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Hope this helps you out!

4 0
3 years ago
Would you be able to help me with this question I don't really understand
il63 [147K]

Okay, here we have this:

Considering the provided information, we are going to identify wich equation applies, so we obtain the following:

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Where x represents the uknown number. Then finally we obtain that the correct equation is the third one.

Now, let's find the missing number solving the equation:

\begin{gathered} x+19=2x \\ 19=2x-x \\ 19=x \end{gathered}

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3 years ago
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8 0
3 years ago
Read 2 more answers
Help.
Akimi4 [234]

1035.33156649 meters high is the helicopter flying over the building.

Given that, an observer (O) is located 900 feet from a building (B). The observer notices a helicopter (H) flying at a 49° angle of elevation.

We need to find how high is the helicopter flying over the building.

<h3>How to find the height of the building using trigonometry?</h3>

To measure the heights and distances of different objects, we use trigonometric ratios.

Here, use the Tangent rule to calculate the height of the building.

tan(angle) = opposite/adjacent

Now, tan 49°=h/900

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Therefore, 1035.33156649 meters high is the helicopter flying over the building.

To learn more about the angle of elevation visit:

brainly.com/question/21137209.

#SPJ1

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