Describe the location of the given points in relation to the origin

Mathematics

1 answer:

miv72 [106K]3 years ago

7 0

Answer:

$(2,-1,-3)\ \ \rightarrow \ \ \text{(2 forward, 1 left, 3 down)}$
$(-4,-3,2)\ \ \rightarrow \ \ \text{(4 back, 3 left, 2 up)}$

Step-by-step explanation:

The given two points are,

$(2,-1,-3)$
$(-4,-3,2)$

Relation of the point to the origin means how much far and in which direction the point is located from the origin (0, 0, 0)

From the attachment it is evident the the point $(2,-1,-3)$ is located 2 forward, 1 left, 3 down from the origin. And point $(-4,-3,2)$ is located 4 back, 3 left, 2 up.

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What are the zeros of the function f(x)=x^2-2x-15?

valkas [14]

To find the zeros of this function, we must first set the entire function equal to 0

f(x) = x² - 2x - 15 = 0

Since this is a quadratic function, we must use the quadratic formula, which is:

$\frac{-b +/- \sqrt{b^{2} - 4(a)(c) } }{2a}$

Let's assign a, b, and c using our first function
x² means a = 1 (because it could be written as 1x²)
-2x means b = -2
-15 means c = -15

Now let's plug those in:

$\frac{-(-2) +/- \sqrt{(-2)^{2} - 4(1)(-15) } }{2(1)}$

which simplifies to:

$\frac{2 +/- \sqrt{(4 + 60} }{2}$

Simplified further:

$\frac{2 +/- \sqrt{(64} }{2}$
$\frac{2 +/- 8 }{2}$
And divide it by the 2 on the bottom gives us:

$2 +/- 4$

2+4 = 6
2-4 = -2

So the zeros of this function are -2 and 6

6 0

3 years ago

Read 2 more answers

Need answer ASAP is an assessment!!!!

worty [1.4K]

Answer:

76%, $\frac{19}{25}$ , and Likely