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Vlad1618 [11]
3 years ago
7

A bag contains colored marbles.

Mathematics
1 answer:
sergiy2304 [10]3 years ago
3 0

Answer:

.5

Step-by-step explanation:

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Find the slope of the line going through the points (0, -5) and (-2,1)
kvasek [131]

Answer:

\displaystyle m=-3

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>Algebra I</u>

  • Coordinates (x, y)
  • Slope Formula: \displaystyle m=\frac{y_2-y_1}{x_2-x_1}

Step-by-step explanation:

<u>Step 1: Define</u>

Point (0, -5)

Point (-2, 1)

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

Simply plug in the 2 coordinates into the slope formula to find slope <em>m</em>

  1. Substitute in points [Slope Formula]:                                                          \displaystyle m=\frac{-5-1}{0--2}
  2. [Fraction - Denominator] Simplify:                                                                \displaystyle m=\frac{-5-1}{0+2}
  3. [Fraction - Numerator] Subtract:                                                                     \displaystyle m=\frac{-6}{0+2}
  4. [Fraction - Denominator] Add:                                                                      \displaystyle m=\frac{-6}{2}
  5. [Fraction] Divide:                                                                                             \displaystyle m=-3
8 0
3 years ago
Find the polar equation of the conic with the focus at the pole, directrix x = 4, and eccentricity 1.
BabaBlast [244]

Answer:

Choice D is correct

Step-by-step explanation:

The eccentricity of the conic section is 1, implying we are looking at a parabola. Parabolas are the only conic sections with an eccentricity of 1.

Next, the directrix of this parabola is located at x = 4. This implies that the parabola opens towards the left and thus the denominator of its polar equation contains a positive cosine function.

Finally, the value of k in the numerator is simply the product of the eccentricity and the absolute value of the directrix;

k = 1*4 = 4

This polar equation is given by alternative D

6 0
3 years ago
Abdul has 15 shirts to fold. Let n be the number of shirts he would have left to fold after folding f of them. Write an equation
andrew-mc [135]

Answer:

n + f = 15

Step-by-step explanation:

n + f = 15

n + (6) = 15

n = 15 - 6 (opposite side opposite sign)

n = 9

4 0
2 years ago
Determine if each equation is a linear equation.
Lady_Fox [76]

Answer:

Linear-1,2,3,6

Nin-Linear-4,5

Step-by-step explanation:

A linear equation is an equation in which the highest power of the  variable is 1.

Out of the given equations, the following are linear.

1) 5x_1 + x_2 - 7x_3 = 4

2) 5x_1 + 4.6x_2 + 12x_3 = -5

3) 3x_1 - x_3 = -5x_2 + 7

6) 6x_1 - 4x_2 + x_3 = 0

These equations on the other hand are nonlinear.

4) 3x_1x_2 + x_3 = 5

5) 4x_1^3 + x_2 = 5

No 4 contains a term which is the product of two variables therefore it is not linear.

No 5 contains a term whose highest power is 3. Such an equation is a Cubic Equation.

4 0
3 years ago
The first number in a pattern is 8. Each following number is found by subtracting 9 from the previous
ser-zykov [4K]

Answer:

8,-1,-9,-18,-27,-36

and so on i would think it would be -27

Step-by-step explanation:

3 0
3 years ago
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