2 years ago

Write an equation for each of the following and then solve it to find the value of the pronumeral.

Mathematics

1 answer:

Fudgin [204]2 years ago

7 0

C= 27* sinpl jajwkwoq

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If one angle of a parallelogram is 60 degrees, find the number of degrees in the remaining three angles.

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Answer:

The remaining 3 angles are 300 degrees

Step-by-step explanation:

The sum of the interior angles of a parallelogram is 360 degrees

We know one angle is 60

360 -60 = 300

The remaining 3 angles are 300 degrees

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6. Let f and g be differentiable functions

Julli [10]

Answer:

(b) 1

Step-by-step explanation:

To differentiate $h(x)=f(x)g(x)$ we will need the product rule:

$h'(x)=f'(x)g(x)+f(x)g'(x)$ .

We have $h'(x)=f(x)g'(x)$ , so the following equation is true by the transitive property:

$f'(x)g(x)+f(x)g'(x)=f(x)g'(x)$

By subtraction property we have:

$f'(x)g(x)=0$

Since $g(x) \neq 0$ , then we can divide both sides by $g(x)$ :

$f'(x)=\frac{0}{g(x)}$

$f'(x)=0$

This implies $f(x)$ is constant.

So we have that $f(x)=c$ where $c$ is a real number.

Since $f(0)=1$ and $f(0)=c$ , then by transitive property $1=c$ .

So $f(x)=1$ .

Checking:

$h(x)=1 \cdot g(x)$

$h'(x)=g'(x)=1 \cdot g'(x)$

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