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2 years ago

What is the height of a triangle with an area of 32 cm2 and a base of 8 cm?

Mathematics

1 answer:

Kipish [7]2 years ago

7 0

Answer:

8 32 A for area and H for height

Step-by-step explanation:

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

agasfer [191]

Answer:

g(x) = x + 3

Step-by-step explanation:

<h3>Given</h3>

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

g(x)

<h3>Solution</h3>

(f ο g)(x) = f(g(x))

<u>Substitute x with g(x) and solve for g(x):</u>

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

7 0

3 years ago

Which logarithmic equation is equivalent to the exponential equation below?

anzhelika [568]

Answer:

$log_e^{67.21}= a$

Step-by-step explanation:

The equation is ,

$\implies 67.21 = e^a$

Here e is the Euler's Number . The log which are defined on the base e are called Natural logarithms.

Say if we have a expoteintial equation ,

$\implies a^m = n$

In logarithmic form it is ,

$\implies log_a^n = m$

Similarly our required answer will be ,

$\implies\boxed{ log_e^{67.21}= a }$

3 0

2 years ago

What does : mean in a mathematical sentence

yan [13]

I think division, at least that's how I wrote it in school

6 0

2 years ago

Find a third-degree polynomial equation with rational coefficients that has roots –4 and 2 + i

ella [17]

If it has rational coefients and is a polygon
if a+bi is a root then a-bi is also a root

the roots are -4 and 2+i
so then 2-i must also be a root

if the rots of a poly are r1 and r2 then the factors are
f(x)=(x-r1)(x-r2)

roots are -4 and 2+i and 2-i

f(x)=(x-(-4))(x-(2+i))(x-(2-i))
f(x)=(x+4)(x-2-i)(x-2+i)
expand
f(x)=x³-11x+20

8 0

2 years ago

Y=x+5 and y=3x-3 I need to get this in a ordered pair

koban [17]

9514 1404 393

Answer:

(x, y) = (4, 9)

Step-by-step explanation:

Perhaps the ordered pair you want is the one that satisfies both equations.

We can find that by equating the expressions for y:

x +5 = 3x -3

8 = 2x . . . . . . . . add 3-x to both sides

4 = x . . . . . . . . . divide by 2

y = 4+5 = 9

The ordered pair is (x, y) = (4, 9).

4 0

2 years ago