Answer:
x ≤ 3
Step-by-step explanation:
The expression inside the radical ≥ 0, thus
solve
9 - 3x ≥ 0 ( subtract 9 from both sides )
- 3x ≥ - 9
Divide both sides by - 3, reversing the symol as a result of dividing by a negative quantity
x ≤ 3
Any value of x less than or equal to 3 ensures
is real
9514 1404 393
Answer:
- largest: 1024 m²
- smallest: 0 m²
Step-by-step explanation:
The largest rectangular area with a given perimeter is a square. Each side of the square will be 1/4 of the fence, or 32 m.
The largest enclosed area is (32 m)² = 1024 m².
__
The smallest area will be that of an enclosure consisting of a double-row of fence: 64 m long and 0 m wide.
The smallest enclosed area is (64 m)(0 m) = 0 m².
_____
"Whole numbers" include zero. If you want the lengths to be Natural numbers, then the smallest area will be 63 m long and 1 m wide, or 63 m².
Answer:
x=1/2. y=4
Step-by-step explanation:
4(2x+3y=13)=8x+12y=52
2(4x-y=-2)=8x-2y=-4
subtract equation one from equation two to get
14y=56 then u will divide bothe sides by 14. for x u substitute y in equation one
Area is calculated as length times width.
A = lw
Is the area and length are known, then you can plug in their values and isolate w to find the width.
I find it easiest to convert to decimals rather than using mixed numbers.
<span>8 ¾ = 8.75 (area)
</span><span>3 ½ = 3.5 (length)
Now let's plug in the values.
8.75 = 3.5w
To isolate w, just divide both sides by 3.5.
8.75 / 3.5 = 2.5
This means w = 2.5.
So the width is 2.5 feet.
Now convert the decimal back to a mixed number.
2.5 = 2 </span>½
So the answer to this question is that the width is 2.5, or 2 ½.
Hope this helps!
Step-by-step explanation:
Assuming that the 270° rotation is in a clockwise motion,
A point (a, b) which undergoes such a rotation will have the new point (-b, a).
Since we have A(2, 1),
A' has the coordinates (-1, 2).