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adelina 88 [10]
2 years ago
5

0/1 Solve the equation by completing the square. Round your answer to the nearest hundredth, if necessary x^2+18x=7

Mathematics
1 answer:
11111nata11111 [884]2 years ago
7 0

Answer:

The solution to the equation is x = 0.38 or -18.38

Step-by-step explanation:

x^2+18x=7 can be properly written as

x^{2} +18x =7

To solve by completing the square, divide the coefficient of x by 2, square and then add to both sides

i.e 18/2 = 9

Then add 9² to both sides of the equation

x^{2} +18x + 9^{2} = 7 + 9^{2}

This becomes

(x+9)^{2} = 7 + 81

(x+9)^{2} = 88

x+9 = \pm \sqrt{88}

x = -9 \pm\sqrt{88}

x = -9 \pm 9.38

∴ x = -9+9.38 or -9-9.38

x = 0.38 or -18.38

Hence, x = 0.38 or -18.38

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The sides of a triangle are in the ratio 12:17: 25 and its perimeter is 540cm. The area is:
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1000

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Kate is going to purchase a coat for $38, pants for $45, and 2 pairs of shoes for $34 each. if she has $180 to spend how much mo
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3 years ago
Where do you find a vertical shift in the exponential parent function?
Montano1993 [528]

For the given expressions we will have:

y = exp(x - 4)   →we have a shift of 4 units to the right.

y = exp (x +9)  → we have a shift of 9 units to the left.

y = exp(x) + 7 → we have a shift of 7 units up.

y = exp(x) - 6  → we have a shift of 6 units down.

<h3>How to work with vertical and horizontal shifts?</h3>

Remember that the shifts work as follows.

For a function f(x), we define a vertical shift of N units as:

g(x) = f(x) + N

  • If N > 0, the shift is upwards.
  • If N < 0, the shift is downwards.

For a function f(x), we define a horizontal shift of N units as:

g(x) = f(x + N)

  • If N > 0, the shift is to the left.
  • If N < 0, the shift is to the right.

Then, if we have:

exp(x - 4) we have a shift of 4 units to the right.

exp (x +9) we have a shift of 9 units to the left.

exp(x) + 7 we have a shift of 7 units up.

exp(x) - 6  we have a shift of 6 units down.

Learn more about translations

brainly.com/question/24850937

#SPJ1

4 0
1 year ago
Plz help with math u will get Brainliest
emmasim [6.3K]

Answer:

Volume = 315 cm³

Step-by-step explanation:

Volume = Length × Width × Height

→ Substitute in the values

Volume = 6 cm × 3.5 cm × 15 cm

→ Simplify

Volume = 315 cm³

4 0
3 years ago
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