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olchik [2.2K]
3 years ago
11

The function g is defined by g(x)=2x^2+3 Find g(5a)

Mathematics
2 answers:
mezya [45]3 years ago
7 0

Answer:

g(5)= 103

Step-by-step explanation:

2x is 2(5)^2+3

2*5 is 10

10^2=100

100+3 = 103

Furkat [3]3 years ago
5 0

For this case we have a function of the form y = g (x)

Where:

g (x) = 2x ^ 2 + 3

We must find g (5a), that is, substitute x = 5a:

Substituting: in the function we have:

g (5a) = 2 (5a) ^ 2 + 3\\g (5a) = 2 * 25a ^ 2 + 3\\g (5a) = 50a ^ 2 + 3

Finally, the answer is:

g (5a) = 50a ^ 2 + 3

Answer:

g (5a) = 50a ^ 2 + 3

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the x and y values makes both equations true

Explanation

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8 0
1 year ago
an isosceles triangle has congruent sides of 20cm. the base is 10cm. find the height of the triangle.​
dolphi86 [110]

Answer:

\large\boxed{A_\triangle=25\sqrt{15}\ cm^2}

Step-by-step explanation:

Look at the picture.

The formula of an area of a triangle:

A_\triangle=\dfrac{bh}{2}

<em>b</em><em> - base</em>

<em>h</em><em> - height</em>

<em />

We need a length of a height.

Use the Pythagorean theorem:

leg^2+leg^2=hypotenuse^2

We have:

leg=5,\ leg=h,\ hypotenuse=20

Substitute:

5^2+h^2=20^2

25+h^2=400             <em>subtract 25 from both sides</em>

h^2=375\to h=\sqrt{375}\\\\h=\sqrt{(25)(15)}\\\\h=\sqrt{25}\cdot\sqrt{15}\\\\h=5\sqrt{15}\ cm

Calculate the area:

A_\triangle=\dfrac{(10)(5\sqrt{15})}{2}=\dfrac{50\sqrt{15}}{2}=25\sqrt{15}\ cm^2

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Answer:

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