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Sever21 [200]
3 years ago
8

What is a positive solution of x squared -36=5x

Mathematics
1 answer:
miv72 [106K]3 years ago
4 0
Answer : 9


Explanation:

{x}^{2}  - 36 = 5x


Subtracting -5x from both sides,

{x}^{2}  - 5x - 36 = 0

Soving this quadratic equation by midterm split method,

{x}^{2}  - 9x + 4x - 36 = 0 \\  \\ x(x  - 9) + 4(x - 9) = 0 \\ (x - 9)(x + 4) = 0


So the roots here will be, +9 and -4.

Since the question is about only the positive value.
Your answer will be 9.
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4. What is the rule of the nth term of the geometric sequence with <img src="https://tex.z-dn.net/?f=a_%7B4%7D" id="TexFormula1"
hram777 [196]

Answer:

\text{d.}\quad a_n=-2.25(2)^{n-1}

Step-by-step explanation:

The common ratio is given as 2, so the base of any exponential must be 2 (not -2 or 2.25). The 4th term is negative, so the initial value must be negative (since the multiplying factor is positive). The only selection matching these requirements is d.

You know the general term is ...

... an = a1·r^(n-1)

so the 4th term is

... -18 = a1·2^(4-1) = 8·a1

Then the first term is ...

... a1 = -18/8 = -2.25 . . . . . confirms our choice of answer d.

7 0
3 years ago
Solve ABC <br>c=10, B=35°, C=65%​
NISA [10]

Answer:

Part 1) The measure of angle A is A=80\°

Part 2) The length side of a is equal to a=10.9\ units

Part 3) The length side of b is equal to b=6.3\ units

Step-by-step explanation:

step 1

Find the measure of angle A

we know that

The sum of the internal angles of a triangle must be equal to 180 degrees

so

A+B+C=180\°

substitute the given values

A+35\°+65\°=180\°

A+100\°=180\°

A=180\°-100\°=80\°

step 2

Find the length of side a

Applying the law of sines

\frac{a}{sin(A)}=\frac{c}{sin(C)}

substitute the given values

\frac{a}{sin(80\°)}=\frac{10}{sin(65\°)}

a=\frac{10}{sin(65\°)}(sin(80\°))

a=10.9\ units

step 3

Find the length of side b

Applying the law of sines

\frac{b}{sin(B)}=\frac{c}{sin(C)}

substitute the given values

\frac{b}{sin(35\°)}=\frac{10}{sin(65\°)}

b=\frac{10}{sin(65\°)}(sin(35\°))

b=6.3\ units

5 0
3 years ago
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Step-by-step explanation:

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