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Maksim231197 [3]
3 years ago
10

How can b^2+9b+14 be re-written?

Mathematics
1 answer:
charle [14.2K]3 years ago
3 0
b^2+9b+14 =\\ \\=b^2+9b-2b + 2b +14 =\\ \\ =b^2+7b +2b +14 = \\ \\ = b(b+7)+2(b+7)=\\ \\=(b+7)(b+2) \\ \\ Answer: \ 4. ) \  (b+7)(b+2)
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Identify sinJ as a fraction and as a decimal rounded to the nearest hundredth.
KiRa [710]

In the given right triangle, the trigonometric ratio, <u>sin J</u> has a fractional value of <u>5/13</u> and a decimal value of <u>0.39</u>.

In trigonometry, for a right triangle, the <u>sine</u> (sin) of any angle θ is given as the ratio of its opposite side to the hypotenuse of the triangle, that is, sin θ = (opposite side)/(hypotenuse).

In the question, we are asked to find the trigonometric ratio, sin J, for the given right triangle JKL.

The side opposite to angle J is KL, which has a value of 3 units.

The hypotenuse of the given right triangle is JK, which has a value of 7.8 units.

Thus, sin J can be calculated as:

sin J = KL/JK = 3/7.8 = 5/13 = 0.39.

Thus, in the given right triangle, the trigonometric ratio, <u>sin J</u> has a fractional value of <u>5/13</u> and a decimal value of <u>0.39</u>.

Learn more about trigonometric ratios at

brainly.com/question/20367642

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8 0
1 year ago
Explain how to find a measure of angle ACD <br> without repositioning the protractor
MatroZZZ [7]

Answer:

60 degrees

Step-by-step explanation:

ACD and ACB are complementary angles. Find ACB=30 degrees. Subtract 30 from 90 degrees. ACD=60 degrees.

6 0
3 years ago
???????????????????????????
FinnZ [79.3K]

Answer:

y-(-20)=1(x-(-10))

Step-by-step explanation:

If you're really in college you should know this, but here's the explanation:

m= <u>-9-(-20)</u>

      1-(-10)

  = <u>11</u>

     11

m = 1

The equation is y-y^1=m(x-x^1)

Replace the y^1, m, and x^1 from the first point

You get y-(-20)=1(x-(-10))

Or simplify that into y+20=x+10

You can also simplify it more but I don't think you need that for that question

7 0
2 years ago
Round to the nearest tenth if necessary.
Andrei [34K]

Answer:

B) 25

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right<u> </u>

<u>Algebra I</u>

  • Coordinates (x, y)

<u>Algebra II</u>

  • Distance Formula: \displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

Point (-1, -8)

Point (-4, -4)

<u>Step 2: Find distance </u><em><u>d</u></em>

Simply plug in the 2 coordinates into the distance formula to find distance <em>d</em>

  1. Substitute in points [Distance Formula]:                                                         \displaystyle d = \sqrt{(-4--1)^2+(-4--8)^2}
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  3. [√Radical] Evaluate exponents:                                                                       \displaystyle d = \sqrt{9+16}
  4. [√Radical] Add:                                                                                                 \displaystyle d = \sqrt{25}
  5. [√Radical] Evaluate:                                                                                           \displaystyle d = 5
4 0
3 years ago
(0, 1) , (4, 2) equation in slope intercept form
mihalych1998 [28]

Answer:

2=1/4(4+b)

Step-by-step explanation:

(0,1), (4,2)

first, find the slope

slope formula- (y2-y1)/(x2-x1)

plug in the coordinates

(2-1)/(4-0)

subtract

1/4

slope=1/4

slope intercept form- y=mx+b

choose one of the coordinates to plug in

(4,2)

plug it in

2=1/4(4+b)

4 0
3 years ago
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