Answer:
f(-1) = -4
Step-by-step explanation:
f(-1) simply means that what is f(x) when x = -1?
Just plug in -1 for <em>x</em> to find your answer:
f(-1) = -3(-1) + 2(-1) - 5
f(-1) = 3 - 2 - 5
f(-1) = 1 - 5
f(-1) = -4
To find the area of a rectangle, multiple the width by the length.
(And simply the fractions for a simpler equation)
For piece A:
The length 1 and 3/5 can be turned into an improper fraction by multiplying 1 by the denominator (5) and adding it to the numerator (3). 1 and 3/5 = 8/5
(3/4) • (8/5) = area
Multiple the numerators with each other and the denominators with each other (3 times 8 = 24) (4 times 5 = 20)
The area of piece A is 24/20
If you do the same for piece B:
(2/5) • (21/8) = area
The answer is 42/40
Answer: The hypotenuse is 53 (approximately)
Step-by-step explanation: In this question we shall apply the Pythagoras theorem which states that;
AC^2 = AB^2 + BC^2
Where AC is the hypotenuse and AB and BC are the two other sides. Having been given that the two other sides are 36 and 39 units respectively, the hypotenuse is now,
AC^2 = 36^2 + 39^2
AC^2 = 1296 + 1521
AC^2 = 2817
Add the square root sign to both sides of the equation
AC = 53.0754
Therefore the hypotenuse is approximately 53 units.
Answer:
r = 3.95 mm (nearest hundredth)
Step-by-step explanation:
(where r = radius and h = height)
Given, volume = 686 mm² and height = 14 mm:
