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expeople1 [14]
2 years ago
6

What is the explicit formula for this arithmetic sequence? -11, -18, -25, -32, ...

Mathematics
1 answer:
OLEGan [10]2 years ago
4 0

Answer:

-7

Step-by-step explanation:

If you look at the first number,count how many in between the next number and the one after that.

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What is the slope of the line that passes through the points (-10, -8) and
RoseWind [281]

Answer:

Equation: y = -4x + 32

Slope: -4

Step-by-step explanation:

Given : (-10,-8) and (-8, -16)

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

Solve For Slope,  Input Given Points:

  • \frac{-8 - (-16)}{-10 - (-8)}
  • \frac{8}{-2}
  • -4

Solve for y-intercept:

Input the slope into the equation y = mx + b. Plugin x and y values for the x and y variables to find b.

  • y = -4x + b
  • -8 = -10(4) + b
  • -8 = -40 + b
  • b = 32

Equation of LIne: y = -4x + 32

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2 years ago
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55 people showed up on a party.There were 3 less women than men.how many men were there?​
Anika [276]

Answer:

52

Step-by-step explanation:

55 - 3 = 52

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6 0
3 years ago
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Which statement is correct? 1. A horizontal line has no slope. 2. A vertical line has a slope of zero. 3. A line that rises from
arsen [322]

Answer:

A line that rises from left to right has a positive slope

Step-by-step explanation:

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3 years ago
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Use complete sentences to describe how logarithms can aid in difficult calculations.
Burka [1]
First, it is to be understood that logarithms allow a person to subject a number as an exponent of a base. As an example of ways in which logarithm is used to aid us in difficult calculations is when we calculate for the pH of a substance which has a formula of,
                                       pH = -log[H+]
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3 years ago
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Part A: The area of a square is (9x2 − 12x + 4) square units. Determine the length of each side of the square by factoring the a
Sladkaya [172]

Answer:

Part A: The length of each side is 3x-2 units long.

Part B: The dimensions are 5x-4 and 5x+4 units long.

Step-by-step explanation:

Part A:

--> 9x^2-12x+4

--> Multiply 9 times 4 to see the factors of that product

--> 9 times4 = 36

Factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, 36

Use the factor 6 and make it negative so -6

add another -6

Keep in mind that it is -6x

--> 9x^2-6x-6x+4

Separate the four terms into two different binomials

--> 9x^2-6x  and -6x+4

Factor the binomials

With 9x^2-6x you can factor a 3x

So it will 3x(3x-2)

Do the same thing with -6x+4

You can factor out a -2

-2(3x-2)

The reason you factor out a -2 and not 2 is because it has to be same so in this case it is (3x-2)

Take the two numbers that you factored and put them to make an expression so (3x-2)

--> (3x-2)(3x-2) or (3x-2)^2

3x-2 is the length of each side so it is 3x-2 units long

Part B:

-->25x^2-16y^2

Use the difference of squares

take the square root of 25x^2

that is 5x

take the square root of 16y^2

that is 4y

write it in this way (5x+4y)(5x-4y)

These are the dimensions of the rectangle

3 0
2 years ago
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