A 4-meter ladder is placed against a wall so
1 answer:
Answer:
1.5 meters.
Step-by-step explanation:
The ladder is 4 meters.
It reaches the height of 3.7 meters on a wall.
This creates a right angled triangle of hypotenuse (4 meters) and height (3.7 meters).
We are to find the base length.
Applying the Pythagorean theorem;
a² + b² = c² , where a is the base length, b is the height length and c is the hypotenuse length.
∴ a² = c² - b² = 4² - 3.7² = 2.31
a (base length) = = 1.519868415 meters
To round off the answer to the nearest tenth of a meter;
Tenth of a meter = × 1 meter = 0.1 meters
So we're rounding off the answer to one decimal place.
I.e 1.519868415 meters = 1.5 meters (rounded off to the nearest tenth of a meter.
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Answer:
x = - 3 and x = 1
Step-by-step explanation:
Given the rational expression
The denominator of the expression cannot be zero as this would make the expression undefined. Equating the denominator to zero and solving gives the values that x cannot be, that is
x² + 2x - 3 = 0 ← in standard form
(x + 3)(x - 1) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 3 = 0 ⇒ x = - 3
x - 1 = 0 ⇒ x = 1
Thus x = 1 and x = - 3 are both excluded values