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2 years ago

(2x+0.5)2–(2x–0.5)2 for x=−3.5

Mathematics

1 answer:

kenny6666 [7]2 years ago

6 0

Just substitute wherever x is for example 2 times 3.5

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Which is the graph of g(x) = [x + 3]?

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2 years ago

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3 years ago

Evaluate sec960°.<br> 1. -2<br> 2. - 2 sqrt3/3<br> 3. 2sqrt 3/3<br> 4. 2

Eduardwww [97]

Answer:

-2

Step-by-step explanation:

We want to evaluate;

$\sec960\degree$

We use the reciprocals of trigonometric ratios to obtain;

$\sec960\degree=\frac{1}{\cos960\degree}$

The 960 degree angle makes an angle of 60 degree with the positive direction of the x-axis and it is in the 3rd quadrant.

This implies that;

$\sec960\degree=\frac{1}{-\cos60\degree}$

We use special trigonometric ratios to obtain;

$\sec960\degree=\frac{1}{-\frac{1}{2}}$

$\sec960\degree=-2$

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3 years ago

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I have to take a pic of the question

11111nata11111 [884]

ANSWER

$y=\frac{2}{3}x+\frac{4}{3}$

EXPLANATION

We want to find the equation of the straight line given on the graph.

The general form of a linear equation is given as:

$y=mx+b$

where m = slope; b = y-intercept

To find the slope, we apply the formula for slope:

$m=\frac{y_2-y_1}{x_2-x_1}$

where (x1, y1) and (x2, y2) are two points on the line

Let us pick (1,2) and (4,4)

Therefore, the slope is:

$m=\frac{4-2}{4-1}=\frac{2}{3}$

To find the equation, we now apply the point-slope formula:

$y-y_1=m(x-x_1)$

Therefore, we have that the equation of the line is:

$\begin{gathered} y-2=\frac{2}{3}(x-1) \\ y-2=\frac{2}{3}x-\frac{2}{3} \\ y=\frac{2}{3}x-\frac{2}{3}+2 \\ y=\frac{2}{3}x+\frac{4}{3} \end{gathered}$

That is the equation of the line.

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11 months ago