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3 years ago

Find the value of x and y.

Mathematics

2 answers:

kirill [66]3 years ago

6 0

Answer:

Option b) x = 15, y = 17

Step-by-step explanation:

In this picture the two lines are intersecting each other at point. Measurement of one angle is 112° and opposite angle of 112° is (7x+7)

Since we know opposite angles are always equal

Therefore 112 = 7x + 7

7x = 112 - 7 = 105

7x = 105

x = 105/7 = 15

Since (7x + 7) + 4y = 180° (sum of all angles on a line is 180°)

7×15 + 7 + 4y = 180

105 + 7 + 4y = 180

4y = 180 - 112= 68

y = 68/4 = 17

Therefore Option b is the right option.

VikaD [51]3 years ago

3 0

The answer would be B. Hope this helped!

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What is the factored form of 2x^2-200

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3 years ago

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Solve each quadratic equation by completing the square. Give exact answers--no decimals.

denis-greek [22]

Answer:

$x_1 = \frac{3}{2} + \frac{1}{2}(\sqrt{47})i\\\\x_2 = \frac{3}{2} - \frac{1}{2}(\sqrt{47})i\\\\$

Step-by-step explanation:

In this problem we have the equation of the following quadratic equation and we want to solve it using the method of square completion:

$x ^ 2 -3x +14 = 0$

The steps are shown below:

For any equation of the form: $ax ^ 2 + bx + c = 0$

1. If the coefficient a is different from 1, then take a as a common factor.

In this case $a = 1$ .

Then we go directly to step 2

2. Take the coefficient b that accompanies the variable x. In this case the coefficient is -3. Then, divide by 2 and the result squared it.

We have:

$\frac{-3}{2} = -\frac{3}{2}\\\\(-\frac{3}{2}) ^ 2 = (\frac{9}{4})$

3. Add the term obtained in the previous step on both sides of equality:

$x ^ 2 -3x + (\frac{9}{4}) = -14 + (\frac{9}{4})$

4. Factor the resulting expression, and you will get:

$(x -\frac{3}{2}) ^ 2 = -(\frac{47}{4})$

Now solve the equation:

Note that the term $(x -\frac{3}{2}) ^ 2$ is always > 0 therefore it can not be equal to $-(\frac{47}{4})$

The equation has no solution in real numbers.

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3 years ago

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