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Margarita [4]
4 years ago
5

Simplify: (7a − 9c) − (−12a − 33c) − (−21a + 10c)

Mathematics
2 answers:
CaHeK987 [17]4 years ago
6 0
Distribute all the negatives: 7a-9c+12a+33c+21a-10c

simplify:
40a+14c
balandron [24]4 years ago
5 0
(7a-9c)-(-12a-33c)-(-21a+10c) \\ \\ =7a-9c+12a+33c+21a-10c \\ \\ =40a+14c \\ \\ \boxed {Answer\ is\ 40a+14c }
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Write the equation in point slope form for a line that passes through the points (-2,3) and (6,-1)
diamong [38]

Answer:

y - 3 = -1/2(x + 2)

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Order of Operations: BPEMDAS

<u>Algebra I</u>

Slope Formula: m=\frac{y_2-y_1}{x_2-x_1}

Point-Slope Form: y - y₁ = m(x - x₁)  

  • x₁ - x coordinate
  • y₁ - y coordinate
  • m - slope

Step-by-step explanation:

<u>Step 1: Define</u>

Point (-2, 3)

Point (6, -1)

<u>Step 2: Find slope </u><em><u>m</u></em>

  1. Substitute:                    m=\frac{-1-3}{6+2}
  2. Subtract/Add:               m=\frac{-4}{8}
  3. Simplify:                        m=\frac{-1}{2}

<u>Step 3: Write linear equation</u>

Point-Slope Form:   y - 3 = -1/2(x + 2)

3 0
3 years ago
Read 2 more answers
Which fraction is equivalent to the decimal 0.15?With the line over.
melisa1 [442]

Answer:

C.

Step-by-step explanation:

divide 100 and dive 15 by 5

7 0
3 years ago
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A right circular cone has a radius of 6 inches and a volume of 180 cubic inches. What is the height of the cone? A. 5 in. B. 15
dlinn [17]

Answer:

A. 5 in.

Step-by-step explanation:

The formula for the volume of a cone is :

V= \pi  r^{2} \frac{h}{3}

so

180 in.^{3} = \pi * 6^{2}* \frac{h}{3}

180 in.^{3} = 3.14* 36* \frac{h}{3} \\180 in.^{3} = 113.04 * \frac{h}{3}\\3 * 180 in.^{3} = 113.04 * \frac{h}{3} * 3 \\\\\\\

540 / 113.04 = 113.04 h /113.04\\h = 4.8 in

When you round you get

h= a. 5 in.

6 0
2 years ago
Biologists tagged 196 fish in a lake on January 1. On February​ 1, they returned and collected a random sample of 42 ​fish, 14 o
erastovalidia [21]

Answer:

approximentley 588 fish live in the lake

Step-by-step explanation:

42 divided by 14 =3

196 multiplied by 3=588

3 0
3 years ago
What is an equation of the line that passes through the point (3,-8) and has a slope of -2<br>​
makvit [3.9K]

Answer:

y = -2x - 2

Step-by-step explanation:

Given:

m = -2

Slope-intercept:

y - y1 = m(x - x1)

y + 8 = -2(x - 3)

y + 8 = -2x + 6

y = -2x - 2

3 0
3 years ago
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