3 years ago

Write as a product of linear factors: f(x)=x^4-100

Mathematics

1 answer:

Veseljchak [2.6K]3 years ago

8 0

(x^2 + 10) (x^2 - 10)

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48=3 times 2 to the power of a 56=7 times 2 to the power of bWhat are the values of a and b?a= b=

Digiron [165]

9514 1404 393

Answer:

a = 4
b = 3

Step-by-step explanation:

From your knowledge of multiplication tables, you know ...

48 = 6·8 = 3·2·2·2·2 = 3·2^4 . . . . a = 4

56 = 7·8 = 7·2·2·2 = 7·2^3 . . . . . . b = 3

8 0

2 years ago

A playground slide is 14.5 feet long with an 8.5-foot tall ladder. What is the measure of the angle that the slide makes with th

notka56 [123]

The slide and the ladder made a right angle triangle with the ground. The angle that the slide made with the ground is labeled as $x$ in the diagram below. We can use the trigonometry ratio to work out the size of the angle.

8.3 is the side opposite to the angle and 14.5 is the hypotenuse. We need to use the Sin ratio

$Sin(x)= \frac{opposite}{hypotenuse}$
$sin(x)= \frac{8.5}{14.5}$
$sin^{-1}( \frac{8.5}{14.5})=x$
$x=36$ ° to the nearest degree