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3 years ago

Evaluate the expression described below:

1 answer:

8 0

Given X = 4
X^2 = 4 x 4
X^2 = 16

Difference between X^2 and X can be written as :
X^2 - X = 16 -4
<span>X^2 - X = 12</span>

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A random survey found that 6 of the 27 people surveyed prefer blueberry candies. Based on those results, about how many people

Softa [21]

I think it’s 24 I could be wrong but I’m pretty sure

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3 years ago

Daily attendance at the water park: 346, 250, 433, 369, 422, 298

Elan Coil [88]

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3 years ago

Read 2 more answers

2 equivalent forms of 0.7875

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4 years ago

Solve for the two acute angles

sineoko [7]

Answer:

Angle A = 37 degrees, and Angle B = 53 degrees.

Step-by-step explanation:

We know that this is a right triangle, where angle C is 90 degrees. Since we know the sum of all these angles is 180 in any triangle, we can create an equation.

Angle A = 6x + 7

Angle B = 11x-2

Angle C = 90 degrees

A + B + C = 180

Substitute:

6x + 7 + 11x - 2 + 90 = 180

17x + 5 + 90 = 180

17x + 5 = 90

17x = 85

x = 5

Now substitute 5 for x in both acute angles and you will get your answer.

Angle A = 6(5) + 7

Angle A = 30 + 7

Angle A = 37

Angle B = 11(5) - 2

Angle B = 55 - 2

Angle B = 53

Angle A = 37 degrees, and Angle B = 53 degrees.

Hope this helps.

7 0

2 years ago

Carlota wrote the equation y + 1 = 2 (x - 3) for the line passing through the points (-1, 3) and (2, 9). Explain and correct her

Art [367]

For this case we have the following equation:

$y + 1 = 2 (x - 3)$

That can be rewritten in the form $y = mx + b$

Where:

m is the slope of the line

b is the cut point

So, we have:

$y + 1 = 2 (x - 3)\\y + 1 = 2x-6\\y = 2x-6-1\\y = 2x-7$

Where:

$m = 2$ is the slope

$b = -7$ is the cut point

Carlota has the following points:

(-1, 3) and (2, 9)

To know if the line $y = 2x-7$ passes through these points, we must replace them in the equation and the equality must be fulfilled. So:

Point (-1, 3):

Substituting:

$3 = 2 (-1) -7\\3 = -2-7$

$3 = -9$ It's false, equality is not met. The point (-1, 3) does not go through the line.

The equation written by Carlota is erroneous, the procedure to follow is:

Given $(x1, y1) = (- 1, 3)$ and $(x2, y2) = (2, 9)$ , we find the slope:

$m=\frac{(y2-y1)}{(x2-x1)}$

$m=\frac{(9-3)}{(2-(-1))}$

$m=\frac{6}{3}$

$m=2$

We observe that the slope found by Carlota is the same. Let's see cut point "b". For this we substitute any of the points given in the equation:

$y = 2x + b$

Substituting (2,9) we have:

$9 = 2 (2) + b\\9 = 4 + b\\b = 9-4\\b = 5$

Thus, Carlota's error was at the cut-off point. The correct equation of the line that passes through the given points is $y = 2x + 5$

Answer:

The correct equation of the line that passes through the given points is $y = 2x + 5$

Carlota's mistake was at the cutoff point

5 0

3 years ago