We know that
x-------------> length rectangle launch tray
w------------< width rectangle launch tray------> 15 cm
<span>length is at least 20% greater than it's width
</span>x>=1.2w---------> x>=1.2*15
the answer part a) is
x>=18 ---------------> (<span> inequality to represent this situation)
part b) </span><span>suppose X is a whole number find the least possible permitted and the least possible area of the lunch tray
</span><span>
the least possible permitted length is 18 cm
</span>the least possible area of the lunch tray is 18*15=270 cm²
Answer:
<h2>
The desired equation is y = (4/3)x - 14/3.</h2>
Step-by-step explanation:
This new line passes thru (-4, 8) and (0, 5).
As we move from (-4, 8) to (0, 5), x increases by 4 and y decreases by 3.
Thus, the slope of this line is m = rise / run = -3/4.
Thus, the slope of a line perpendicular to the given line is the negative reciprocal of -3/4: 4/3.
Thus, the equation of a line perpendicular to the given line is
y = (4/3)x + b.
This line passes thru the point (5, 2). Thus, the following is true:
2 = (4/3)(5) + b, or 2 = 20/3 + b
Mult. this 2 by 3/3, we get 6/3, so that 6/3 = 20/3 + b. b = -14/3.
<h2>
The desired equation is y = (4/3)x - 14/3.</h2>
Answer:
Area is 24
Step-by-step explanation:
The three sides of the triangle are 6, 8, and 10. You could use A² + B² = C² and determine that A² + 36 = 100 to find the missing side is 8.
Then, the area of the square is 6 × 8 = 48. And each triangle that makes up the square is 48 ÷ 2 = 24.
To subtract fractions, you need to obtain a common denominator. We can achieve this, in this case, by multiplying:

Simplify this:

Now we have common denominators, so we can easily just subtract the numerators, and we have the answer:

Notice that this is divisible by 2:

That's your answer!