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3 years ago

Carly solved a quadratic equation by completing the square, but her work has errors. Identify the first error in Carly's work.

Mathematics

1 answer:

Savatey [412]3 years ago

8 0

Answer:

Her first error was adding the wrong number to both sides. Instead of 4², it should be 2²

Step-by-step explanation:

When completing the square, the number that needs to be added to both sides is (b/2)²

In this problem, b is 4. So, Carly should have added 2² to both sides, but she added 4² instead.

So, her first error was adding 4² to both sides instead of 2²

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3 years ago

Read 2 more answers

X2 - 4x + 3 = 0 lesser x = greater x = o

Levart [38]

Answer:

lesser x is 1

greater x is 3

Step-by-step explanation:

Here, we want to solve the equation so as to get the bigger and the lesser x values

We proceed as follows;

x^2 -4x + 3 = 0

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

x(x-1) -3(x-1) = 0

(x-3)(x-1) = 0

x = 3

or x = 1

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3 years ago

Tara wants to fix the location of a mountain by taking measurements from two positions 3 miles apart. From the first position, t

Black_prince [1.1K]

Answer:

Shortest distance from the mountain is 3.17 miles.

Step-by-step explanation:

From the figure attached,

Let a mountain is located at point A.

Angle between the mountain and point B (∠B) = 53°

Angle between the mountain and point C (∠C) = 78°

Distance between these points = 3 miles

Since, m∠A + m∠B + m∠C = 180°

m∠A + 53° + 78° = 180°

m∠A = 180°- 131° = 49°

By applying sine rule in triangle ABC,

$\frac{\text{sin}(49)}{BC}=\frac{\text{sin}(53)}{AC}= \frac{\text{sin}(78)}{AB}$

$\frac{\text{sin}(49)}{3}=\frac{\text{sin}(53)}{AC}= \frac{\text{sin}(78)}{AB}$

$\frac{\text{sin}(49)}{3}=\frac{\text{sin}(53)}{AC}$

AC = $\frac{3\text{sin}(53)}{\text{sin}(49)}$

AC = 3.17 miles

$\frac{\text{sin}(49)}{3}=\frac{\text{sin}(78)}{AB}$

AB = $\frac{3\text{sin}(78)}{\text{sin}(49)}$

AB = 3.89 miles

Therefore, shortest distance from the mountain is 3.17 miles.

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3 years ago

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Answer:

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Step-by-step explanation:

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3 years ago

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Serga [27]

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