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Art [367]
3 years ago
13

Factor the following polynomial written in Standard Form. Select the correct answer from the choices listed below: 9d^2+12d+4

Mathematics
2 answers:
Alex17521 [72]3 years ago
8 0

C

(3d + 2) (3d + 2)

= 9d^2 +6d +6d +4

= 9d^2 +12d +4

Kruka [31]3 years ago
4 0
The answer is (3d+2) (3d+2).
Steps:
Break the expression into groups:
(9d^2+6d)+(6d+4)
Factor out 3d from 9d^2+6d:
3d(3d+2)
Factor out 2 from 6d and 4: 2(3d+2)
=3d(3d+2)+2(3d+2)
Factor out common term (3d+2)
=(3d+2)(3d+2)

Hope this helps you! (:
-PsychoChicken4040
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Select the correct answer from each drop-down menu.
Makovka662 [10]

The correct options regarding the circle with endpoints of the longest chord at (4, 5.5) and (4, 10.5) are:

  • The center is (4,8).
  • The radius is of 2.5 units.
  • (x - 4)^2 + (y - 8)^2 = 6.25

<h3>What is the equation of a circle?</h3>

The equation of a circle of center (x_0, y_0) and radius r is given by:

(x - x_0)^2 + (y - y_0)^2 = r^2

The center is the <u>midpoint of the chords</u>, hence:

  • x_0 = \frac{4 + 4}{2} = 4.
  • y_0 = \frac{5.5 + 10.5}{2} = 8.

The radius is half the distance between the chords, hence:

r = 0.5\sqrt{(4-4)^2 + (10.5 - 5.5)^2} = 0.5 = 2.5.

Hence the equation is:

(x - x_0)^2 + (y - y_0)^2 = r^2

(x - 4)^2 + (y - 8)^2 = 2.5^2

(x - 4)^2 + (y - 8)^2 = 6.25

More can be learned about the equation of a circle at brainly.com/question/24307696

#SPJ1

7 0
2 years ago
Marcus is doing a science fair experiment in which he measures the rate at which Bacteria multiply.Every 15 seconds , the bacter
Anna [14]

Answer: 495 bacteria in 2 minutes.

Step-by-step explanation:

We would apply the formula,

y = ab^t

Where

a represents the initial amount of bacteria.

t represents the doubling time.

From the information given

a = 10

t = 15 seconds

Since after 15 seconds, the amount of bacteria multiplies by 2, then

y = 2 × 10 = 20

Therefore

20 = 10 × b^15

Dividing through by 10, it becomes

2 = b^15

Raising both sides of the equation by 1/15, it becomes

2^(1/15) = b^15/15

b = 1.047

The equation becomes

y = 10(1.047)^t

For t = 2 minutes(2 × 60 = 120 seconds), then

y = 10(1.047)^120

y = 495 bacteria

4 0
3 years ago
Samir estimates the value of Three-fifths times 16.1. Which estimate is reasonable?
n200080 [17]

Answer: 9

Step-by-step explanation:

\frac{3}{5}  \times 16.1 = 9.66

6 0
3 years ago
Enrique charges $5 for every 1/5 hour he spends walking dogs. In the morning he walks buttons for 2/5 hour, Bruno for 1/5 hour,
VikaD [51]
Two hours and twelve minutes
60/5 = 12
12*2+12+12*3+12*4+12=
24+12+36+48+12=132
60+60=120
132-120=12
two hours and twelve minutes
4 0
3 years ago
Please help with this math question.​
V125BC [204]

The coordinate grid of the ordered pair is gotten from the combination of the y and X axis of the graph.

<h3>Finding of the ordered pair</h3>

Using the coordinates, an ordered pair for the given point is:

  • G = (4,3) because the 4 corresponds to the point in y axis and 3 on the X axis.

  • H= (10,8) because the 10 corresponds to the point in y axis and 8 on the X axis.

  • J= (6,4) because the 6 corresponds to the point in y axis and 4 on the X axis.

  • K= ( 2,1) because the 2 corresponds to the point in y axis and 1 on the X axis.

Learn more about coordinate grid here:

brainly.com/question/20362114

#SPJ1

7 0
2 years ago
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