If x + 5 = 15 then x = 10

Mathematics

2 answers:

77julia77 [94]3 years ago

6 0

Yes u are correct x is 10

8090 [49]3 years ago

6 0

Yes x equals 10. Hope this helps

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Find the equation of the line that passes through the points (4,1) and (-4, -5)

aleksley [76]

<h2>Answer:</h2>

First, we must find the slope of the line using slope formula*.

$m = \frac{-5 - 1}{-4 - 4} = \frac{-6}{-8} = \frac{3}{4}$

Second, we now find the y-intercept, or b, using slope-intercept form, the slope we found, and one of the given points.

$1 = \frac{3}{4}(4) + b\\\\1 = 3 + b\\\\-2 = b$

Lastly, we can now create the equation of the line.

$m = \frac{3}{4}\\$

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The equation of the line that goes through the given points is C. $y = \frac{3}{4}x - 2$

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3 years ago

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Georgia [21]

Answer:

$y = 3$ .

Step-by-step explanation:

The minimum and maximum value of $\sin(2\, x - 7)$ over all real $x$ are $(-1)$ and $1$ , respectively. Hence, the maximum and minimum value of $y = -4\, \sin(2\, x - 7) + 3$ would be:

Maximum: $y = (-4)\, (-1) + 3 = 7$ .
Minimum: $y = (-4)\, (1)\ + 3 = (-1)$ .

The midline equation of a sine wave is a horizontal line that is right in the middle of maximum and minimum $y$ -values of that sine wave. In the sine wave in this question, the average of the maximum and minimum $y\!$ -values is $(1/2) \, (7 + (-1)) = 3$ . Hence, the midline equation of this sine wave would be $y = 3$ .