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3 years ago

If g(x)=2x-1 and h(x)= swuare root x, find (g o h) (9)

Mathematics

1 answer:

AnnZ [28]3 years ago

8 0

Answer:

Step-by-step explanation:

To evaluate (g ￮ h)(9), evaluate h(9) , then use this value to evaluate g(x)

h(9) = $\sqrt{9}$ = 3, then

g(3) = 2(3) - 1 = 6 - 1 = 5

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What is the equation of the circle with center (5,-4) and radius 4

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16 is the right one

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3 years ago

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Read 2 more answers

The equation of a circle is ( x - 3) 2 + ( y + 2) 2 = 25. The point (8, -2) is on the circle.

Shtirlitz [24]

Answer:

x =8 is the equation of the tangent.

Step-by-step explanation:

Here the equation of the given circle is: $(x-3)^{2} + (y+2)^{2} = 25$

Now, comparing it with the general equation of circle: $(x-h)^{2} + (y -k)^{2} = r^2$

we get the central coordinates (h,k) = (3,-2)

So, the slope of the line joining center and (8, -2) = $\frac{-2 -(-2)}{8-3} = \frac{0}{5} = 0$

Since the slope of line = 0, line is parallel to x axis.

Now, as tangent and the line is perpendicular to each other

⇒Slope of the tangent = -1/ slope of the line = $\frac{-1}{0}$

Now, by point slope formula: the equation of the tangent is

(y-y0) = m (x-x0)

or, $(y +2) = \frac{-1}{0} (x -8)$

or x =8 is the equation of the tangent.

8 0

3 years ago

Expand this question: 6(x - 4y)

user100 [1]

6x-24y is the answer

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2 years ago

In a fifth grade class 4/5 of the girls have brown hair. Of the brown-haired girls, 3/4 of them have long hair. Of the girl with

Aleks [24]

lets say there are 100 girls.
4/5 of 100 is 80, so 80 girls have brown hair.
3/4 of the 80 who have brown hair have long hair.
3/4 of 80 is 60.
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in simplest fraction form, 60/100= 3/5

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3 years ago