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Lilit [14]
2 years ago
13

The difference of a number and 8 is the same as 34 less the number. find the number.

Mathematics
1 answer:
Dovator [93]2 years ago
4 0
Let the number be x.

8 - x = x -34

2x = 8 + 34

2x = 42

x = 21

Answer: The number is 21.
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What is the equation in standard form for (0,3) and (7,0)
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Answer:

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Step-by-step explanation:

We have value of two points (0,3) and (7,0)

First, let's find the slope of this line. The formula for slope is:

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Where x₁ = 0 x₂= 7 y₁ = 3 y₂ = 0

(y₂ - y₁)/(x₂-x₁)

= (0-3)/(7-0)

=-3/7

Now we can write the equation in point-slope form:

y-y₁ = m(x-x₁)

y - 3 = -3/7(x-0)

y-3=-3x/7

y=-3x/7 + 3

Now let's convert this to standard form, by making the y-intercept by itself:

Ax + By = C

y=-3x/7 + 3

Multiply through by 7

7(y) = 7(-3x/7) + 7(3)

7y = -3x + 21

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Step-by-step explanation:

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A population of bees is decreasing. The population in a particular region this year is 1250. After year 1, it is estimated that
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Answer:

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Area of a rectangle is represented by the expression:

\text{Area}=\text{length }\cdot\text{ width}

Since, the area is defined by the following expression:

\begin{gathered} \text{Area}=5x^2+17x+6 \\ We\text{ can factor the expression:} \\ \text{Area}=(5x+2)(x+3) \end{gathered}

So, notice that:

\begin{gathered} \text{Length}=5x+2 \\ \text{Width}=x+3 \end{gathered}

The perimeter is given by the following formula:

\begin{gathered} \text{Perimeter}=2L+2W \\ \text{Perimeter}=2(5x+2)+2(x+3) \\ \text{Perimeter}=10x+4+2x+6 \\ \text{Perimeter}=12x+10 \end{gathered}

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