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lutik1710 [3]
3 years ago
7

What are the coordinates of the hole in the rational function? f(x)=x2+8x−9x2−1

Mathematics
1 answer:
Amanda [17]3 years ago
4 0
The numerator factored is (x+9)(x-1)
The denominator factored is (x+1)(x-1)
The x coordinate for the hole comes from the like factor (x - 1).
Set it equal to zero.   x - 1 = 0  so x = 1
Plug the x value into the remaining fraction \frac{x+9}{x+1}
\frac{1+9}{1+1} = \frac{10}{2} =5
The answer is (1,5)
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Determine if the triangles, ΔUVW and ΔBAC, are similar. If so, identify the similarity criterion.
alexandr402 [8]

Answer:

B). SAS similarity.

Step-by-step explanation:

In Δ WVU & ΔCAB,

UV/CA = 17/34 = 1/2

&

VW/AB = 14/28 = 1/2

∵ UV/CA = VW/AB = 1/2

& ∠V = ∠A (Given)

∵ ΔWVU ≅  ΔCAB   (by SAS similarity)

7 0
2 years ago
What type of variable is the number of robberies reported in your city? Continuous attribute quantitative qualitative?
erastova [34]

solution:

Attribute is not type of variable, instead, attributes are the categories of a categorical variable. For example: if variable is gender, attributes are male , female.

The number of robberies is not continuous because it connot take all values in a continuous interaval.

The number of robberies is quantitative because the value is numeric (discrete)

It is not qualitative because it is not nominal.  


4 0
3 years ago
Which system of linear equations appears to have a solution of (-1,4)?
daser333 [38]

Answer:

The 3rd graph represents the point (-1, 4) as the solution to the system of linear equations.

The correct graph is also attached below.

Step-by-step explanation:

We know when two lines meet at a certain point, the point where they meet is called the point of intersection.

We also know that the point of intersection of two lines is termed as the solution of the system of linear equations.

We are given the point (-1, 4) as the solution of the system of linear equations.

It means the two lines meet at x = -1, and y = 4.

In other words,

(x, y) = (-1, 4) is called the point of intersection of the system of linear equations.

Now, if we closely check the graph of these two lines, we can easily figure out that the 3rd from the right side is the graph that represents the solution to the system of linear equations.

The 3rd graph indicates that the two lines meet at x = -1, and y = 4.

Hence, the point of intersection of 3rd graph is:

(x, y) = (-1, 4)

Therefore, the 3rd graph represents the point (-1, 4) as the solution to the system of linear equations.

The correct graph is also attached below.

7 0
3 years ago
Please help !! thank you so much!!
Afina-wow [57]

Step-by-step explanation:

we know that:

tan(x  - y) =  \frac{tanx - tany}{1 + tanx \times tany}

using this, we can see that x = 73 and y = 13

using this, tan(x-y) = tan(73-13) = tan(60)

therefore, A = 60

we know that tan(60) = √3

therefore, B = 3

5 0
3 years ago
How does the volume of a cylinder with a radius of 6 inches and a height of 8 inches compare to
lora16 [44]

Answer:

they are the same

Step-by-step explanation:

6 0
3 years ago
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