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Alex
3 years ago
14

What is the perimeter of triangle OJL

Mathematics
1 answer:
juin [17]3 years ago
3 0

Answer:

infinity.............

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The roots of the quadratic equation $z^2 + az + b = 0$ are $2 - 3i$ and $2 + 3i$. What is $a+b$?
AlladinOne [14]
We know for our problem that the zeroes of our quadratic equation are (2-3i) and (2+3i), which means that the solutions for our equation are x=2-3i and x=2+3i. We are going to use those solutions to express our quadratic equation in the form a x^{2} +bx+c; to do that we will use the <span>zero factor property in reverse:
</span>x=2-3i
x-2=-3i
x-2+3i=0
<span>
</span>x=2+3i
x-2=3i
x-2-3i=0
<span>
Now, we can multiply the left sides of our equations:
</span>(x-2+3i)(x-2-3i)= x^{2} -2x-3ix-2x+4+6i+3ix-6i-3^2i^2
<span>= </span>x^{2}-4x+4-9i^{2}
= x^{2} -4x+4+9
= x^{2} -4x+13
Now that we have our quadratic in the form a x^{2} +bx+c, we can infer that a=1 and b=-4; therefore, we can conclude that a+b=1+(-4)=1-4=-3.
6 0
4 years ago
the radius of a circular garden is 6 ft. if one foot of fencing cost 2.75 dollars, how much would you spend to completely surrou
PIT_PIT [208]

Answer:

103.67 dollars.

Step-by-step explanation:

The perimeter of the garden = 2 * π * 6 feet.

So the cost is 2.75 * 12π  dollars.

= 103.67 dollars.

3 0
3 years ago
Write an inequality for the following.<br> Jackie spent no more than $40 on a video
ANEK [815]

Answer:

x ≥ $40

Step-by-step explanation:

Jackie didn't spend more than $40 on a video.

x ≥ $40

7 0
3 years ago
Find the value of the following expression and round to the nearest integer:
____ [38]

Answer:

This tool can round very big numbers to a very high precision. ... The calculator defaults to rounding to the nearest integer

Step-by-step explanation:

hope i helped

4 0
3 years ago
Which statement is true about the function f(x)=-√-x
Harrizon [31]

Answer: D.The domain and range of the function are the same.


Step-by-step explanation: Given function f(x)=-√-x.

The given function is a square root function and we have minus sign in front of x inside square root.

A square root always defined for positive values or 0.

In order to get a positive number or 0 inside square root, let us solve the inequality:

-x\geq 0

On dividing both sides by -1, the inequality sign would get flip and we get

<h3>Domain: x \leq 0.</h3>

We can see that we have a negative sign in front of square root. So, the value of f(x) would be always a negative number or 0.

<h3>Therefore, range would also be :x \leq 0..</h3><h3>Therefore, correct option is D option.</h3>
5 0
3 years ago
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