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2 years ago

Write the equation of a line with an undefined slope and point (1, 7).

Mathematics

1 answer:

Sonja [21]2 years ago

4 0

Answer:

The equation of straight line is x = 1

Step-by-step explanation:

Step :-

The equation of straight line having slope 'm' and passing through the point

$(x_{1} ,y_{1} )$ is $y-y_{1} = m (x-x_{1} )$

Slope of horizontal line(that is x-axis) is m = 0

slope of vertical line (that is y-axis) is m is not defined

The equation of straight line having slope is not defined and passing through the point (1,7).

$y-7 = \frac{1}{0} (x-1)$

cross multiplication we will get equation

$(y-7)(0)=1(x-1)$

x-1 = 0

The equation of straight line is x = 1

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2 years ago

Read 2 more answers

In △ABC, m∠A=39°, a=11, and b=13. Find c to the nearest tenth.

Talja [164]

For this problem, we are going to use the law of sines, which states:

$\dfrac{\sin{A}}{a} = \dfrac{\sin{B}}{b} = \dfrac{\sin{C}}{c}$

In this case, we have an angle and two sides, and we are trying to look for the third side. First, we have to find the angle which corresponds with the second side, $B$ . Then, we can find the third side. Using the law of sines, we can find:

$\dfrac{\sin{39^{\circ}}}{11} = \dfrac{\sin{B}}{13}$

We can use this to solve for $B$ :

$13 \cdot \dfrac{\sin{39^{\circ}}}{11} = \sin{B}$

$B = \sin^{-1}{\Big(13 \cdot \dfrac{\sin{39^{\circ}}}{11}\Big)} \approx 48.1$

Now, we can find $C$ :

$C = 180^{\circ} - 48.1^{\circ} - 39^{\circ} = 92.9^{\circ}$

Using this, we can find $c$ :

$\dfrac{\sin{39^{\circ}}}{11} = \dfrac{\sin{92.9^{\circ}}}{c}$

$c = \dfrac{11\sin{92.9^{\circ}}}{\sin{39^{\circ}}} \approx \boxed{17.5}$

c is approximately 17.5.

8 0

2 years ago

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2 years ago

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2 years ago

Calculate the correct answer. 17x - 3 = 48

Nadya [2.5K]

Answer: x = 3

Step-by-step explanation:

Simplifying

17x + -3 = 48

Reorder the terms:

-3 + 17x = 48

Solving

-3 + 17x = 48

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '3' to each side of the equation.

-3 + 3 + 17x = 48 + 3

Combine like terms: -3 + 3 = 0

0 + 17x = 48 + 3

17x = 48 + 3

Combine like terms: 48 + 3 = 51

17x = 51

Divide each side by '17'.

x = 3

Simplifying

x = 3

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2 years ago