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3 years ago

The 3 points form a horizontal line: (-3.5,4),(0,4), and (6.2,4). Name Two additional points that fall on this line.

Mathematics

1 answer:

Dmitrij [34]3 years ago

8 0

Answer:

see the explanation

Step-by-step explanation:

we know that

The equation of a horizontal line is equal to the y-coordinate of the point that passes through it

In this problem, the line passes through the points

(-3.5,4),(0,4), and (6.2,4)

The y-coordinate is 4

The equation of the horizontal line is

y=4

therefore

Any point with the y-coordinate equal to 4, fall on this line

Example

(1,4) and (5,4)

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iogann1982 [59]

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3 years ago

If h(x)=(fog)(x) and h(x) = sqrt x+5, find g(x) if f(x) = sqrtx+2

Katen [24]

Answer: The value of g(x) is x+3.

Step-by-step explanation:

Since we have given that

$h(x)=f\circ g(x)$

Here,

$h(x)=\sqrt{x+5}\\\\and\\\\f(x)=\sqrt{x+2}$

We need to find the value of g(x):

$f(x)=\sqrt{x+2}\\\\f(g(x))=\sqrt{g(x)+2}\\\\h(x)=\sqrt{g(x)+2}\\\\\sqrt{x+5}=\sqrt{g(x)+2}\\\\x+5=g(x)+2\\\\g(x)=x+5-2=x+3$

Hence, the value of g(x) is x+3.

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3 years ago

In the graph below, the area above f(x) is shaded and labeled A, the area below g(x) is shaded and labeled B, and the area where

drek231 [11]

Answer: OPTION C.

Step-by-step explanation:

The equation of the line in Slope-Intercept form is:

$y=mx+b$

Where "m" is the slope and "b" is the y-intercept.

Notice that the line of f(x) is dashed. This means that the symbol of the inequality must be or $>$ .

Since the shaded region A is above the line, the symbol is $>$

Observe that its y-intercept is:

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The line of g(x) is solid. This means that the symbol of the inequality must be $\leq$ or $\geq$ .

Since the shaded region B is below the line, the symbol is $\leq$ .

Observe that its y-intercept is:

$b=-2$ .

Based on this, we can conclude that the graph represents the following System of Inequalities:

$\left \{ {{y\leq 2x -2} \atop {y >-x + 3}} \right.$

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3 years ago

Light in vacuum is incident on the surface of a slab of transparent material. In the vacuum the beam makes an angle of 43.8° wit

REY [17]

Answer:

Index of refraction of transparent is 1.48

Step-by-step explanation:

Snell's law states that;

n1(sinθ1) = n2(sinθ2)

Where;

n1 and n2 represent the indices of refraction for the two media, and θ1 and θ2 are the angles of incidence and refraction that the ray R makes with the normal.

In this question;

n1 = 1;

θ1 = 43.8°

θ2 = 19.3°

n2 is unknown.

Thus using Snell's law, we have;

1 x sin 43.8 = n2 x sin 19.3

n2 = (sin 43.8)/sin 19.3

n2 = 1.48

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