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RoseWind [281]
3 years ago
13

What is the third term when you complete the square for the polynomial

Mathematics
1 answer:
Viefleur [7K]3 years ago
5 0

Answer:

x^2 + 8x+16 is (x+4)^2

Step-by-step explanation:

You might be interested in
A bottle contains 5/9 liters of soda. Keisha has 3 of these bottles.
satela [25.4K]

Answer: 1 2/3 Liters

Step-by-step explanation:

  • Create the equation

The equation is going to be the amount of soda, multiplied by the amount of bottles Keisha has

5/9 x 3/1 (3/1 is equivalent to having 3 or 1+1+1)

  • Solve

We are going to multiple the numbers, numerator by numerator, and denominator by denominator since we do not need to add or subtract

  1. Numerator= 5x3=15
  2. Denominator= 9x1=9

Your improper awnser would be 15/9

DO NOT STOP HERE THIS IS NOT THE SIMPLEST FORM

  • Create the simplest mixed number

15/9 is equal to 15 divided by 9

we can fit 1 9 in 15 without going over

1 ?/15

15-9=6

1 6/9

  • Simplify

6 and 9 are both divisible by 3

6 divided by 3 = 2

9  divided by 3 = 3

1 6/9=1 2/3

  • Awnser and add your units

1 2/3 is the simpelest form, this can not be further divided.

1 2/3 Liters of Soda

3 0
2 years ago
Choose all the graphs that are best for displaying numerical data.
valina [46]

bar graph, line graph, scatter plot, box and whisker plot a circle graph, and a histogram.

3 0
3 years ago
Read 2 more answers
Write the complex numbers in standard form: 5/ 8-i
dedylja [7]

Answer:

a+bi

\frac{8}{13}  +  \frac{i}{13}

5 0
3 years ago
There are 15 questions in this quiz. Im sorry if im putting too much pressure on yall
nika2105 [10]

Answer:

86

Step-by-step explanation:

i dont really kbow why but i think it 86

4 0
2 years ago
Read 2 more answers
The corners of a meadow are shown on a coordinate grid. Ethan wants to fence the meadow. What length of fencing is required?
Nuetrik [128]

Answer:

34.6 units

Step-by-step explanation:

The lenght of fencing required is the total distance between point A to B, B to C, C to D, and D to A. That is the distance between all 4 corners of the meadow.

The coordinates of the corners of the meadow is shown on a coordinate plane in the attachment. (See attachment below).

Let's use the distance formula to calculate the distance between the 4 corners of the meadow using their coordinates as follows:

Distance between point A(-6, 2) and point B(2, 6):

AB = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}

Let,

A(-6, 2)) = (x_1, y_1)

B(2, 6) = (x_2, y_2)

AB = \sqrt{(2 - (-6))^2 + (6 - 2)^2}

AB = \sqrt{(8)^2 + (4)^2}

AB = \sqrt{64 + 16} = \sqrt{80}

AB = 8.9 (nearest tenth)

Distance between B(2, 6) and C(7, 1):

BC = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}

Let,

B(2, 6) = (x_1, y_1)

C(7, 1) = (x_2, y_2)

BC = \sqrt{(7 - 2)^2 + (1 - 6)^2}

BC = \sqrt{(5)^2 + (-5)^2}

BC = \sqrt{25 + 25} = \sqrt{50}

BC = 7.1 (nearest tenth)

Distance between C(7, 1) and D(3, -5):

CD = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}

Let,

C(7, 1) = (x_1, y_1)

D(3, -5) = (x_2, y_2)

CD = \sqrt{(3 - 7)^2 + (-5 - 1)^2}

CD = \sqrt{(-4)^2 + (-6)^2}

CD = \sqrt{16 + 36} = \sqrt{52}

CD = 7.2 (nearest tenth)

Distance between D(3, -5) and A(-6, 2):

DA = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}

Let,

D(3, -5) = (x_1, y_1)

A(-6, 2) = (x_2, y_2)

DA = \sqrt{(-6 - 3)^2 + (2 - (-5))^2}

DA = \sqrt{(-9)^2 + (7)^2}

DA = \sqrt{81 + 49} = \sqrt{130}

DA = 11.4 (nearest tenth)

Length of fencing required = 8.9 + 7.1 + 7.2 + 11.4 = 34.6 units

8 0
2 years ago
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