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3 years ago

10

Use the distance formula to find the distance between the two coordinate point (round to the nearest the third). Coordinates: (-

3,-2) and (3,2)

1 answer:

mafiozo [28]3 years ago

7 0

The distance is 10 units

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A shopping cart is pushed 20 meters west across a parking lot in 5.2 seconds. What is the velocity of the

Alex787 [66]

Answer the shopping cart had a velocity of 3 m/s as it moved across the parking lot.

Step-by-step explanation:

The time taken for this displacement is 5.2 seconds. So, the velocity of the shopping cart can be estimated by the above mentioned relation as, velocity of shopping cart = 15.6 m / 5.2 s = 3 m/s.

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2 years ago

A perfect square trinomial can be represented by a square model with equivalent length and width. Which polynomial can be repres

lina2011 [118]

The correct answer is
$A) x^2 - 6x + 9$

In fact, this is a trinomial of the form $ax^2-bx+c$ , whose solutions are given by
$x_{1,2}= \frac{-b\pm \sqrt{b^2 -4ac} }{2a}$
Using this formula for the trinomial of the problem, we find:
$x1,2= \frac{6 \pm \sqrt{6^2-4\cdot 1\cdot 9}}{2} =3$
<span>we see that this trinomial has two coincident solutions (x=3 with multiplicity 2). This means that it can be rewritten as a perfect square, in the following form:
</span> $(x-3)^2$ <span>
</span>

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2 years ago

Read 2 more answers

A survey claims that 9 out of 10 doctors (i.e., 90% recommend brand z for their patients who have children. to test this claim a

iris [78.8K]

OK 100% of doctors in the mid-1800s found to be correct and all surgeries

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3 years ago

Define the following in your own words. Please do not copy and paste of the internet. Thank you in advance

bulgar [2K]

Answer:

Perpendicular bisector - A line that bisects another line into two equal halves so that four right angles are created.

Cylinder - A 3D solid with circles as its bases.

Plane - A flat, 2D surface that extends infinitely.

Regular Polygon - A polygon where all angles and all sides are equal (ex. square, pentagon, triangle).

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2 years ago

Assume that f is continuous on [-4,4] and differentiable on (-4,4). The table gives some values of f'(x) x: -4, -3, -2, -1, 0, 1

kondaur [170]

$f$ will be increasing on the intervals where $f'(x)>0$ and decreasing wherever $f'(x)$ . Local extrema occur when $f'(x)=0$ and the sign of $f'(x)$ changes to either side of that point.

$f'(x)$ is positive when $x$ is between -4 and some number between -2 and -1, and also 2 (exclusive) and 4, so you can estimate that $f(x)$ is increasing on the intervals [-4, -2] and (2, 4].

$f'(x)$ is negative when $x$ is between some number between -2 and -1, up to some number less than 2. So $f(x)$ is decreasing on the interval [-1, 1].

You then have two possible cases for extrema occurring. The sign of $f'(x)$ changes for some $x$ between -2 and -1, and again to either side of $x=2$ .

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3 years ago