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lyudmila [28]
3 years ago
5

Find x so that a is parallel to b. (4x+11) , (8x+1)

Mathematics
1 answer:
yan [13]3 years ago
4 0
4x + 11 = 8x + 1
        11 = 4x + 1
        10 = 4x
         /4    /4
       2.5 = x

X = 2.5
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Points S, L, and P on this grid represent the locations of the school, the library, and the park
Vlad [161]

The distance, in units, from the school to the library and then the distance from the library to the park is 15 units.

<h3>What is the length of any line on the graph?</h3>

The distance or length of any line on the graph,

D = √{(x₂ - x₁)² + (y₂ - y₁)²}

where,

d = distance/length of the line between point 1 and 2,

(x₁ , y₁) = coordinate of point 1,

(x₂ , y₂) = coordinate of point 2,

The distance from school to the library is SL, therefore,

\rm SL = \sqrt{(4-0)^2 + (1-4)^2} = 5\ units

The distance from library to the park is LP, therefore,

\rm LP = \sqrt{(-4-4)^2 + (-5-1)^2} = 10\ units

Now, the distance, in units, from the school to the library and then the distance from the library to the park is 15 units (10 units + 5 units).

Learn more about the Length of the line:

brainly.com/question/16904935

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4 0
2 years ago
Someone answer this please
irina [24]

Answer:

y = - 27/5

Step-by-step explanation:

4(3) - 5y = 39

12 - 5y = 39

-5y = 39 - 12 = 27

y = - 27/5

7 0
3 years ago
The data from the U.S. Census Bureau for 1982−2003 shows that the surface area of the United States that is covered by rural lan
Wewaii [24]
If we plug in 0 for x, we can receive the data for the year 1982. Doing so shows us that the Rural area was 1,417.4 million acres and the total area was 1,839.4 million acres. Therefore, we can conclude that the majority of the area of the United States was rural in 1982.
5 0
3 years ago
Does anybody know the answer???
Rasek [7]

Answer:

Rectangle

Step-by-step explanation:

According to this grapher that I am using it shows a rectangle using your coordinates

Please give brainliest

6 0
3 years ago
Read 2 more answers
1. Kalena was asked to prove ifx(x - 1)(x + 1) = x3 - X represents a polynomial identity. She
Verdich [7]

Answer:

C. Kalena made a mistake in Step 3. The justification should state: -x²

+ x²

Step-by-step explanation:

Given the function x(x - 1)(x + 1) = x3 - X

To justify kelena proof

We will need to show if the two equations are equal.

Starting from the RHS with function x³-x

First we will factor out the common factor which is 'x' to have;

x(x²-1)

Factorising x²-1 using the difference of two square will give;

x(x+1)(x-1)

Note that for two real number a and b, the expansion of a²-b² using difference vof two square will give;

a²-b² = (a+b)(a-b) hence;

Factorising x²-1 using the difference of two square will give;

x(x+1)(x-1)

Factorising x(x+1) gives x²+x, therefore

x(x+1)(x-1) = (x²+x)(x-1)

(x²+x)(x-1) = x³-x²+x²-x

The function x³-x²+x²-x gotten shows that kelena made a mistake in step 3, the justification should be -x²+x² not -x-x²

6 0
3 years ago
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