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FinnZ [79.3K]
3 years ago
5

Find the zeros of the function below. -7x=x^2+12

Mathematics
1 answer:
Paul [167]3 years ago
5 0

Answer:

Step-by-step explanation:

-7x = x² + 12

Set equation to zero:

x² + 7x + 12 = 0

Quadratic formula:

x = [-7±√(7²-4·1·12)]/[2·1]

 =  [-7±√1]/2

 = -3,-4  

The zeros are -3 and -4

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Describe the diagram below using correct geometric names
bagirrra123 [75]
Angles PQT and RQS are vertical angles and angles PQR and TQS are vertical angles.

angle PQS and TQR are straight angles

angles TQP and PQR form a linear pair. they are also adjacent by default. the other angles have these same features.

that should bout do it. hope it helped!
7 0
3 years ago
Find the 97th term of the arithmetic sequence
kozerog [31]
<h2>Answer:</h2><h2>The 97th term in the series is 409</h2>

Step-by-step explanation:

The given sequence is 25, 29, 33, ....

The sequence represents arithmetic progression

In an AP, the first term is a1  = 25

The difference between two terms, d = 29 - 25 = 4

To find the 97th term,

By formula, a_{n}  = a_{1} + (n - 1) d

Substituting the values in the above equation, we get

a_{97}  = 25 + (97 - 1) 4

= 25 + (96 * 4)

= 25 + 384

= 409

The 97 th term in the given sequence is 409.

3 0
3 years ago
Given: ABC is similar to XYC. If BY = 6, YC = 10, AX = 18, then XC = 10.8 5 30 48
Sidana [21]

Answer:

The correct option is 3. The length of XC is 30.

Step-by-step explanation:

It is given that triangle ABC and triangle XYC are similar.

According to the properties of similar triangles, then corresponding sides of similar triangles are congruent.

In triangle ABC and triangle XYC,

\frac{AB}{XY}=\frac{BC}{YC}=\frac{AC}{XC}

Let the length of XC be x.

From the below figure it is notices that

AC=AX+XC=18+x

BC=BY+YC=6+10=16

\frac{16}{10}=\frac{18+x}{x}

16x=180+10x

6x=180

x=30

Therefore correct option is 3. The length of XC is 30.

3 0
3 years ago
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Write the number below as a fraction in its simplest form<br> 0.41 recurring
Tomtit [17]

Answer:

12

Step-by-step explanation:

3 0
2 years ago
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Which is bigger 5.7 or 5.77
wolverine [178]
5.77

By 0.07

Because if you subtract 0.07 from 5.77, you get 5.7, so it must be smaller.
7 0
3 years ago
Read 2 more answers
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