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Tju [1.3M]
3 years ago
12

At which values of x does the function f(x) have a vertical asymptote

Mathematics
1 answer:
Pani-rosa [81]3 years ago
3 0

Answer:

A. 0

E. -3

F. 9

Step-by-step explanation:

You can't divide by 0; it is undefined. So if x cannot equal zero, then anything that turns the denominator to zero is an asymptote. Therefore, the roots of the cubic expression would be excluded, and we get our final answers.

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What is an equation of the line that passes through the point (-7, -6) and is parallel to the line x-y=7?
Alex_Xolod [135]

Answer:

Step-by-step explanation:

For two lines to be parallel their slopes must be equal. For two lines to be perpendicular their slopes must be the negative reciprocal of each other.

Step 1 Find the slope of the equation.

Put it into the slope-intercept form. y = mx + b.  

For x-y = 7, move the x to the left; therefore subtract the x from both sides. this leaves you  -y = -x + 7

Then, divide both sides by -1 to get a positive y.  -y/-1 = (-x + 7)/-1

This leaves y = x - 7  The slope(m) for this equation is m = 1

The other equation must also have a slope of 1 or m=1 for the lines to be parallel.

Use the point given to you (-7, -6) and substitute for (x, y)

The slope-intercept form y = mx + b can once again be used.

x = -7, y =-6, and slope or m = 1

Therefore,  y = mx + b substituted will be -6 = (1)(-7) + b; now, solve for b which is the y intercept

-6 = -7 + b add 7 to both sides -6 +7 = -7 + b +7 ; therefore, b = 1

Now you know the slope(m) which is equal to 1 and the y-intercept(b) which is equal to 1.

Finally, substitute the m and b in the slope-intercept form

            y = (1)x + 1 or y = x +1

5 0
3 years ago
The figure shown is an equilateral triangle. Calculate the length of each side and give your answer in cm.
cricket20 [7]
Given at you have an equilateral triangle, all sides have the same length.

Therefore,
First side 2x-7 = Second side x+y-9 = Third side y+5

Let us look at the second and third sides for now:
x+y-9 = y+5
x = y+5 - (y-9)
x = y-y+5+9
x = 14

Then we look at equating the first and third sides:
2x-7 = y+5
y = 2x-7-5

Substitute x =14 in the equation above:
y = 2(14)-7-5
= 28-7-5
= 21-5
= 16

The length of the third side is:
y+5 = 16 +5 = 21

Given that the length of each sides are the same in an equilateral triangle, all sides have the length 21cm.
4 0
3 years ago
Find the area in square inches of the figure shown.
djverab [1.8K]

Answer:

8 * 17 = 136

39 * 36 = 1404

1482 + 136 = 1540

Step-by-step explanation:

5 0
3 years ago
Name 3 things you would want to know about skin diseases/disorders?<br> PLEASE HELP
Gelneren [198K]

Answer:

Some skin disorders, like contact dermatitis, are temporary and relatively ... We'll help you identify common skin disorders, explain some treatment ... Here is a list of 25 with pictures. ... from the face down the body three to five days after first symptoms appear ... But what if they're actually a sign of an underlying condition.

Step-by-step explanation:

3 0
3 years ago
In triangle WXY , angle X cong angle W YW = 19 and WX = 15 15. Find the length of XY.
ivolga24 [154]

Answer:

<h3>19</h3>

Step-by-step explanation:

Given the triangle WXY, with angle X and W to be equal, this shows that the triangle is an isosceles triangle. An isosceles triangle is the one which has two of its sides and its base angle to be the same.

If <X = <W, then The sides YW = XY

That is the other two sides asides from the side XW are equal.

Since YW = 19

Hence the measure of the side XY will also be 19

YW = XY = 19

4 0
2 years ago
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