Answer:
length is 5
width is 4
Step-by-step explanation:
Answer:
y=-8/5x+4
Step-by-step explanation:
The slope of perpendicular lines is the opposite reciprocal of the original equation.
To get the opposite reciprocal, flip the fraction and use the opposite sign.
Here, the slope is -8/5 because that is the opposite of 5/8.
To get the equation of the line, use point-slope and then distribute to get the equation in y=mx+b format.
Point slope: y-y1=m(x-x1). Use the coordinate (5,-4) in the equation.
y+4=-8/5(x-5)
Multiply (x-5) by -8/5 and simplify.
y+4=-8/5x+8
y=-8/5x+4
Solutions are 3 and - 5.
Step-by-step explanation:
Step 1:
Given equation is 3x² + 6x = 45. Factorize the equation to get the solutions.
⇒ 3x² + 6x - 45 = 0
⇒ x² + 2x - 15 = 0
⇒ x² + 5x - 3x - 15 = 0 (Product and Sum Method where product of coefficients = - 15 and sum = 2)
⇒ x (x + 5) - 3(x + 5) = 0
⇒ (x - 3)(x + 5) = 0
⇒ x = 3, - 5
Hello! To solve this exercise we have to divide the amount of the bottles by the number of containers, look:

So, each recipient (container) has to receive the content of 3.66 bottles of sanitizer, approximately.
9514 1404 393
Answer:
20 2/3 miles
Step-by-step explanation:
Altogether Jamal hiked 1 + 1 9/11 times the length of the first trail:
(2 9/11)(7 1/3) = (31/11)(22/3) = 62/3 = 20 2/3
Jamal hiked 20 2/3 miles.