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taurus [48]
1 year ago
9

Determine the vertical asymptotes for the reciprocal of this function f(x)=x^2 + 3x -28

Mathematics
1 answer:
Gennadij [26K]1 year ago
7 0

Answer:

x = -7 and x = 4.

Step-by-step explanation:

f(x) = x^2 + 3x - 28

= (x + 7)(x - 4).

The reciprocal of f(x) can be written as

1 / (x + 7)(x - 4).

When the denominator is zero we have vertical asymptotes

so they are x = -7 and x = 4.

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How many students do not like any of the three fruits?<br>16<br>17<br>19<br>25​
alexdok [17]

Answer:

  • D. 25

Step-by-step explanation:

Total students = 90

<u>Students who like at least one of the fruit:</u>

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<u>Number of students do not like any of the fruits:</u>

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65.<br> Evaluate a-b+c for?
Rama09 [41]

Answer:

From the problem, the answer to the equation is 5 1/10

Step-by-step explanation:

First, let's gather the information from the problem.

<em>a = 4 1/5 (also can be turned into 21/5)</em>

<em>b = 2 7/20 (also can be turned into 47/20)</em>

<em>c = 3 1/4 (also can be turned into 13/4)</em>

Now, plug in the numbers using the improper fractions.

21/5 - 47/20 + 13/4

Turn the denominators into the same number.

84/20 - 47/20 + 65/20

Subtract 84/20 and 47/20.

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Add 37/20 and 65/20.

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So, your answer to this equation is 5 1/10.

7 0
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CAN ANYBODY HELP ME OUT
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Answer:

Correct option is

b. If two sides and one included angle are equal in triangles PQS and PRS, then their corresponding sides are also equal.

Step-by-step explanation:

Here, we are given the line RQ, which is divided in two equal parts by a line PS which is perpendicular to RQ.

The foot S of PS is on the line RQ.

First of all, let us do a construction here.

Join the point R with P and P with Q.

Please refer to the attached image.

Now, let us consider the triangles  PQS and PRS:

  • Side QS = RS (as given)
  • \angle PSR = \angle PSQ = 90^\circ
  • Side PS = PS (Common side in both the triangles)

Now, Two sides and the angle included between the two triangles are equal.

So by SAS congruence we can say that \triangle PRS \cong \triangle PQS

Therefore, the corresponding sides will also be equal.

RP = QP

RP is the distance between R and P.

QP is the distance between Q and P.

Hence, to prove that P is equidistant from R and Q, we have proved that:

b. If two sides and one included angle are equal in triangles PQS and PRS, then their corresponding sides are also equal.

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