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1 year ago

I can send the other options? I just need this explained?

Mathematics

1 answer:

OLEGan [10]1 year ago

3 0

The standard equation of a circle is given by:

$(x-h)^2+(y-k)^2=r^2$

where (h, k) represents the coordinates of the center of the circle, and r represents the radius of the circle.

For:

$\begin{gathered} (x+3)^2+(y+1)^2=16 \\ \end{gathered}$

Rewrite the equation as:

$\begin{gathered} (x-(-3))^2+(y-(-1))^2=4^2 \\ so\colon \\ h=-3 \\ k=-1 \\ r=4 \end{gathered}$

We can conclude it is a circle with center at (-3,-1) and radius of 4

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Which values for h and k are used to write the function f of x = x squared + 12 x + 6 in vertex form?

almond37 [142]

Answer:

h=−6, k=−30

Step-by-step explanation:

did on edge

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3 years ago

Read 2 more answers

STAR Co. provides paper to smaller companies whose volumes are not large enough to warrant dealing directly with the paper mill.

mamaluj [8]

Answer:

see below

Step-by-step explanation:

In order for the problem to make sense, we have to assume typos in Patterns 2, 3, and 4. We suppose they should be (0, 0, 3, 10), (8, 0, 0, 4) and (2, 1, 2, 1).

If we let p, q, r, s, t represent the number of rolls cut to patterns 1 to 5, respectively, then we want ...

minimize 10p +10q +4r +s +t . . . . . . . total trim loss

subject to ...

0p +0q +8r +2s +7t = 5672 . . . . . . number of 12-ft rolls

6p +0q +0r +1s +1t = 1670 . . . . . . . . number of 15-ft rolls

0p +3q +0r +2s +0t = 3200 . . . . . . number of 30-ft rolls

p≥0, q≥0, r≥0, s≥0, t≥0

_____

The solution works out to be (p, q, r, s, t) = (1, 0, 253, 1600, 64) with a trim loss of 2686 feet (equivalent to 27 100-ft rolls).

Note that we have endeavored to fill the order exactly. We don't know if there are cut choices that would minimize loss further, but result in a few rolls extra of some width or another.

3 0

3 years ago

Given the parent graph

zzz [600]

Using translation concepts, it is found that the new function was reflected over the x-axis and vertically compressed by a factor of 3.

<h3>What is a translation?</h3>

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

The functions are given as follows:

Parent: $f(x) = 4^x$ .

Translated: $f(x) = -\frac{1}{3} \times 4^x$ .

The translated function was multiplied by -1/3, hence it was reflected over the x-axis(multiplication by negative number) and vertically compressed by a factor of 3(fraction of 1/3).

More can be learned about translation concepts at brainly.com/question/4521517

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2 years ago

Factorize the following expression ab-a-b+1

dolphi86 [110]

Group 'em together

a b − a + 1 − b

a b − a = a ( b − 1 )

Notice that there will be a 1 as without it it'll simply be ab

1 − b = 1 ( 1 − b )

Notice that it doesn't match with the upper one... so we'll change the signs