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3 years ago

Determine the type and number of solutions of x^2 + 10x − 25 = 0.

Mathematics

1 answer:

Vitek1552 [10]3 years ago

5 0

Answer:

There is exactly 1 solution and it is a double root.

Step-by-step explanation:

To find this, factor the equation and solve.

x^2 + 10x - 25 = 0

(x - 5)(x - 5) = 0

Now that we have this factored, we can set each parenthesis equal to 0 and solve separately.

x - 5 = 0

x = 5

x - 5 = 0

x = 5

Because there are two of the exact same answer, we know it to be a double root.

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Simplify and write the trig expression in terms of sin and cos

dsp73

We have:

$cot(-x)cos(-x)+sin(-x)=-\frac{1}{f(x)}$

Then we use trigonometric identities to change the negative sign of the trigonometric functions, so:

$-sin(x)-cot(x)cos(x)=-\frac{1}{f(x)}$

We clear f(x):

$f(x)=\frac{1}{sin(x)+cot(x)cos(x)}=\frac{1}{sin(x)+\frac{cos(x)}{sin(x)}cos(x)}=\frac{1}{sin(x)+\frac{cos^2(x)}{sin(x)}}$

we simply what we can:

$f(x)=\frac{1}{\frac{sin^2(x)+cos^2(x)}{sin(x)}}=sin(x)$

Thus, the correct answer is;

$f(x)=sin(x)$

6 0

7 months ago

An ancient Roman coin is found and a curious anthropologist wishes to determine if the coin is fair— Fair meaning that when flip

Mamont248 [21]

The coin wouldn't be fair, because it landed on heads 72/100 times. If the coin was fair, the results should be equivalent to 1/2.

7 0

2 years ago

Read 2 more answers

Please Help me with these question. first person to help me gets brainliest!!!!

lara [203]

4) the distance between the x-values is 3 and the distance between the y-values is 4

3² + 4² = d²

9 + 16 = d²

25 = d²

√25 = d

5 = d

Answer: C

d = $\sqrt{(x2 - x1)^{2} + (y2 - y1)^{2} }$

d = $\sqrt{(-2 - (-3))^{2} + (2 - (-4))^{2} }$

d = $\sqrt{(-2 +3)^{2} + (2 +4)^{2} }$

d = $\sqrt{(1)^{2} + (6)^{2} }$

d = $\sqrt{1 + 36}$

d = $\sqrt{37}$

d = 6.1

Answer: A

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2 years ago

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jok3333 [9.3K]

1minutethat the answer

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2 years ago

Solve for y. 2.x - 5y = - 12<br>

svlad2 [7]

Answer:

y = 2/5x + 12/5

Step-by-step explanation:

Let's solve for y.

2x−5y=−12

Step 1: Add -2x to both sides.

2x−5y+−2x=−12+−2x

−5y=−2x−12

Step 2: Divide both sides by -5.

−5y/−5 = −2x−12/−5

y = 2/5x + 12/5

5 0

2 years ago