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2 years ago

what is the equation for the line that is perpendicular to the x-axis and passes through the point (4, -7)?

Mathematics

1 answer:

Sidana [21]2 years ago

7 0

Step-by-step explanation:

perpendicular means to cross at a right angle (90 degrees).

so, any line perpendicular to the x-axis is parallel to the y-axis.

and any line parallel to the y-axis has only a defining x value. all points on that line have the same x value (while any value for y from -infinity to +infinity is valid).

the y-axis itself is

x = 0

the specified point here has an x value of 4.

so, the line we are looking for is

x = 4

to point out : this is NOT a function, because for the same x value we get more than 1 valid y values.

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If w= the weight of trout. Which algebraic expression represents the phrase below?

konstantin123 [22]

Product means multiplication.

Given w= weight of a trout.

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So, product of 16 and w can be written as 16*w or simply 16w.

Hence, B is the correct choice.

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2 years ago

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3x^2+kx=-3 What is the value of K will result in exactly one solution to the equation?

Scorpion4ik [409]

Answer:

For k = 6 or k = -6, the equation will have exactly one solution.

Step-by-step explanation:

Given a second order polynomial expressed by the following equation:

$ax^{2} + bx + c, a\neq0$ .

This polynomial has roots $x_{1}, x_{2}$ such that $ax^{2} + bx + c = (x - x_{1})*(x - x_{2})$ , given by the following formulas:

$x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a}$

$x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a}$

$\bigtriangleup = b^{2} - 4ac$

If $\bigtriangleup = 0$ , the equation has only one solution.

In this problem, we have that:

$3x^{2} + kx + 3 = 0$

$a = 3, b = k, c = 3$

$\bigtriangleup = b^{2} - 4ac$

$\bigtriangleup = k^{2} - 4*3*3$

$\bigtriangleup = k^{2} - 36$

We will only have one solution if $\bigtriangleup = 0$ . So

$\bigtriangleup = 0$

$k^{2} - 36 = 0$

$k^{2} = 36$

$k = \pm \sqrt{36}$

$k = \pm 6$

For k = 6 or k = -6, the equation will have exactly one solution.

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2 years ago

Lauren bikes 1 1/3 miles in 1/1/0 hour. What is her rate of speed in miles per hour?

Amanda [17]

speed = distance / time

1 1/3 = 4/3

speed = (4/3) / (1/10)

= (4/3) * 10

= 40/3 mph

or 13 1/3 mph

Hope this helps!

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2 years ago

Find the L.C.M of 6,12,18<br><br>

Rashid [163]

The least common multiple is 36.

6x6= 36
12x3=36
18x2=36

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Nezavi [6.7K]

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