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Virty [35]
3 years ago
12

Factor completely 3x^2 − 21

Mathematics
2 answers:
beks73 [17]3 years ago
7 0
When factor 3 out of 3x^2-21 
you  get 3(x^2-7)

Firdavs [7]3 years ago
5 0
The highest common factor of the two terms is 3, so that goes outside the bracket as 3(____). To get 3x^2, you multiply 3 by x^2, which is your first term in the bracket, and to get -21, you multiply 3 by -7, so your final answer is 3(x^2 - 7). I hope this helps!
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Circle A has center (0, 0) and radius 3. Circle B has center (-5, 0) and radius 1. What sequence of transformations could be use
Dmitrij [34]

A translation of T(x, y) = (- 5, 2) and a dilation with center (- 5, 2) with a scale factor of 1 / 3 are necessary to transform circle A into circle B. (Correct choice: D)

<h3>What sequence of rigid transformations can be done on a circle</h3>

In this problem we must determine the sequence of transformations require to transform circle A into circle B. From analytical geometry we know that the equation of the circle in standard form is:

(x - h)² + (y - k)² = r²

Where:

  • (h, k) - Coordinates of the center.
  • r - Radius of the circle.

Then, we need to apply the following rigid transformations:

Translation

f(x, y) → f(x - h, y - k), where (h, k) is the translation vector.

Dilation with center at the center of the circle

r → k · r, where k is the scale factor.

The circle A is represented by x² + y² = 3, then we derive the expression for the circle B:

f(x, y) → f(x + 5, y - 2)

(x + 5)² + (y - 2)² = 9

r → k · r

(x + 5)² + (y - 2)² = (1 / 3)² · 9

(x + 5)² + (y - 2)² = 1

Then, a translation of T(x, y) = (- 5, 2) and a dilation with center (- 5, 2) are necessary to transform circle A into circle B.

To learn more on rigid transformations: brainly.com/question/28004150

#SPJ1

8 0
1 year ago
A suvery shows that 55℅​
gizmo_the_mogwai [7]

Answer: No. The intervals defined by the margin or error overlap

Step-by-step explanation:

If we think about it, with the worst margins, 55% could be 48% and then the 45% would be 52%, showing there is no clear yes or no and it is possible that the intervals could overlap

7 0
2 years ago
A binomial consists of———— terms
Softa [21]
Consists of two terms (A+B)
7 0
3 years ago
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Find the selling price for a case of Newman's Own® special blend coffee that costs the retailer $35.87 if the markup is 22% of t
mote1985 [20]

Answer:

The selling price is $46 approx.

Step-by-step explanation:

The cost price is = $35.87

Markup is 22% of selling price.

Let the selling price be = 100%

So, 100%-22%=78% = 0.78

So, solution is = 35.87/0.78=45.98 ≈ $46.

Hence, the selling price is $46 approx.

4 0
3 years ago
The price s of a pair of shoes plus 5% sales tax
zzz [600]

An expression for that would be s + 0.05s, or 1.05s.

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3 years ago
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