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3 years ago

Can the equation have a positive root: (x+5)(x+6)+9=0

Mathematics

1 answer:

mafiozo [28]3 years ago

8 0

Answer:

Step-by-step explanation:

In expanded form, the equation is ...

x^2 +11x +39 = 0

The discriminant is ...

11^2 -4(1)(39) = -35

It is negative, so there are only complex roots.

_____

Descartes' rule of signs tells you there are zero positive real roots, because there are zero sign changes in the coefficients.

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Am I right ? Because I need help with this please thanks.

bazaltina [42]

to find the hypotenuse (or the ramp in question 4) you can use the equation

$a^{2} +b^{2} =c^{2}$

with a and b being the 3 feet and 9 feet and c being the unknown (ramp).

So if you plug 3 and 9 into the equation, it looks like this.

$3^{2} +9^{2} =c^{2}$

then square them.

$9+81=c^{2}$

simplify.

$90=c^{2}$

take the square root of both sides.

$\sqrt{90} = c$

$\sqrt{90}$ is approx. 9.5 so the answer would be H.

7 0

3 years ago

What is the solution of the following system? x-y=11 <br> -x+y=-11

lapo4ka [179]

Infinitely Many Solutions because is you simplify either one, you get the same equation as the other.

8 0

3 years ago

The first few steps in solving the quadratic equation 5x2 + 27x = 14 − 13x by completing the square are shown. 5x2 + 27x = 14 −

antiseptic1488 [7]

5(x^2+8x)=14
5(x^2+8x+16)=5(x^2+8x)+5*16=5(x^2+8x)+80=14+80=94
The corect answer is the second

8 0

3 years ago

Read 2 more answers

What would the height need to be for this curve to be a

antiseptic1488 [7]

Answer: A

Step-by-step explanation:

The total area would have to be 1, so (1/2)(5)(height)=1

2.5height = 1

height = 1/2.5 = 2/10 = 1/5

6 0

2 years ago

A survey was conducted of 42 students who take math, Eng lish, or history. In the survey, 15 students said they take math and hi

strojnjashka [21]

Answer:

16 students take only English or only Math.

Step-by-step explanation:

We can solve this problem by treating these values as sets, and building the Venn Diagram.

I am going to say that:

A is the number of students who take Math.

B is the number of students who take English.

C is the number of students who take History.

We have that:

$A = a + (A \cap B) + (A \cap C) + (A \cap B \cap C)$

In which a is the number of students that only take Math, $A \cap B$ is the number of students who take both Math and English, $A \cap C$ is the number of students that take both Math and History, and $A \cap B \cap C$ is the number of students that take all these classes.