Answer:
see explanation
Step-by-step explanation:
Given
(x - 3) × (x + 4) = 0, that is
(x - 3)(x + 4) = 0
The zero product indicates that (x - 3) = 0 or (x + 4) = 0
x - 3 = 0 ⇒ x = 3
x + 4 = 0 ⇒ x = - 4
Thus if x = 3, then
(3 - 3)(x + 4) = 0 × (x + 4) = 0
Similarly if x = - 4 the output is zero
Answer:
Perimeter of rectangle before folded = 56 in
Total area after folding = 156 sq in
Step-by-step explanation:
Rectangle before folded: l = 16 and w = 12
P = 2(16) + 2(12) = 32 + 24 = 56 in.
Figure after folding: Area of trapezoid + area of rectangle
Area of trapezoid = h()/2 = 6(4 + 16)/2 = 60
Area of rectangle = lw = 16(6) = 96
Total area after folding = 60 + 96 = 156 sq in.
Note: You could also find the area after folding by substracting the areas of the two triangles in the corners from the area of the original rectangle. Your choice. OK?
Answer:
Then, the object will take 29.11 min to travel
Step-by-step explanation:
When an object is moving at a steady speed, we can calculate the time it would take to travel a given distance using the following formula:
(equation 1)
In this particular, both the given speed and distance are mixed fractions so we'll first convert them into improper fractions to operate more easily:
So, now we can calculate the time using the equation 1:
And, if we want the result in minutes:
Then, the object will take 29.11 min to travel
Answer:
use pemdas
Step-by-step explanation:
If Chad can paint the whole room in 5 hours, in 1 hour he gets 1/5 of it painted. If Cassie can paint the whole room in 3 hours, in 1 hour she gets 1/3 of it painted. If we add those together we can find out how much of the room they can paint together in one hour. 1/5 + 1/3 = 1/x, with x being the number of hours it will take them to paint the room together. Common denominator is 15, therefore, 3/15 + 5/15 = 1/x and 8/15 = 1/x. Cross-multiply to get 8x = 15, so it will take them 15/8 hours, or 1.9 hours to paint the whole room together.