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andre [41]
3 years ago
5

How many solutions does the following equation have? -14(z-5)=-14x+70

Mathematics
1 answer:
zavuch27 [327]3 years ago
4 0

Answer:

Infinite amount of solutions

Step-by-step explanation:

Parallel lines have no solution

Same lines have infinite solutions

Intersecting lines have 1 solution

Step 1: Write out equation

-14(x - 5) = -14x + 70

Step 2: Distribute -14

-14x + 70 = -14x + 70

Here we see that we have 2 exact same lines. Therefore, we have infinite amount of solutions.

Alternatively, we can plug in any number <em>x </em>and it would work. So then we would have infinite amount of solutions as well.

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A, b, c, and d please
DIA [1.3K]
<h2>Answers / Step-by-step explanation:</h2><h3>a. What is the length of one side of the square.</h3>

<em>Looking at the image, the radius (r) of the circle appears to cover half of the length of a side of the square. Hence, the side of the square has a length of </em><em>2r</em><em>.</em>

<em />

<u><em>-------------------------------------------------------------------------------------------------------</em></u>

<em />

<h3>b. The formula A= πr² is used to find the area of a circle. The formula A=4r² can be used to find the area of the square. Write the ratio of the area of the circle to the area of the square in the simplest form.</h3>

<em />Ratio=\frac{\pi r^{2} }{4r^2} =\frac{\pi}{4}.

<em>Notice that the value "r²" disappears from the expression because is being multiplied and divided by it at the same time.</em>

<em />

Ratio=\frac{4\pi }{16} =0.7854.

<em />

<u><em>-------------------------------------------------------------------------------------------------------</em></u>

<em />

c. Complete the table.

<em>To complete each cell of the table, simply take the equation of the asked parameter and substitute the value of r by the number indicated in the title of the column. For example, column 3 should be filled out like this:</em>

Area of Circle (units²): π(3)²or 9π.

Length of 1 Side of the Square: 2r= 2(3)= 6.

Area of Square (units²)= 4r²= 4(3)²= 36.

Ratio: \frac{\pi}{4}.

<em>Do the same for all the other columns. </em>

<em>The answers to the table are presented on the attached image</em><em>.</em>

<em />

<u><em>-------------------------------------------------------------------------------------------------------</em></u>

<em />

d. What can you conclude about the relationship between the area of the circle and the square?

<em>They will always have the same value, π/4, regardless of the size of the square and circle. As long as the circle borders meet the square's at the middle of each side of the square, the relationship will be the same</em><em>.</em>

4 0
2 years ago
Hello! Please help asap
ValentinkaMS [17]

Answer:

Hello! answer: 55

Step-by-step explanation:

55 + 35 = 90 HOPE THAT HELPS!

3 0
3 years ago
Jessica is a custodian at Oracle Arena. She waxes 20 m² of the floor in = of an hour. Jessica
Wewaii [24]

The complete question is as follows:

Jessica is a custodian at Oracle Arena. She waxes 20 \mathbf{m^{2}} of the floor in \mathbf{\frac{3}{5}} of and hour. At this rate, how many square meters can she wax per hour ?

Answer:

\mathbf{\frac{100}{3}\approx33.33 \ m^{2} \ per \ hour}

Step-by-step explanation:

\textrm{rate}=\frac{\textrm{Area waxed in square meter}}{\textrm{Time taken to wax in hours}}

\textrm{rate}=\frac{20 \ \textrm{m}^{2}}{\frac{3}{5} \ \textrm{hours}}

\textrm{rate}=\frac{20\times5}{3}

\mathbf{rate=\frac{100}{3}\approx33.33 \ m^{2} \ per \ hour}

8 0
3 years ago
A roller coaster at a theme park takes fans on an exciting ride. In the first 20 seconds, it carries passengers up a 30-meter hi
zaharov [31]

Answer:15 meters higher

Step-by-step explanation: 30-30+15

7 0
3 years ago
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