Answer:
Option (b) is correct.
Area of rectangle is 36 units
We have,
⇒36=6×6
=2×3×3×2
=4×9
Hence, the sides of a rectangle are 4cm and 9cm
Perimeter =2(l+b)
=2(4+9)
=13×2
=26units
Point 1: (-3, 7)
Point 2: (-17, 3)
To find the slope, we need to use the slope formula which is as follows: m = (y2 - y1) / (x2 - x1). We will plug in each x and y coordinate from our points above, respectively.
m = (3 - 7) / (-17 - - 3)
m = (-4) / (-14)
m = 2/7
The slope of the line that goes through (-3, 7) and (-17, 3) is 2/7.
Hope this helps!! :)
Answer: 4 miles
Step-by-step explanation:
If Ashley ran 1 mile 4 times, she ran 1+1+1+1, or 1*4, or 4 miles.
<em>Hope it helps <3</em>
Step-by-step explanation:
let us give all the quantities in the problem variable names.
x= amount in utility stock
y = amount in electronics stock
c = amount in bond
“The total amount of $200,000 need not be fully invested at any one time.”
becomes
x + y + c ≤ 200, 000,
Also
“The amount invested in the stocks cannot be more than half the total amount invested”
a + b ≤1/2 (total amount invested),
=1/2(x + y + c).
(x+y-c)/2≤0
“The amount invested in the utility stock cannot exceed $40,000”
a ≤ 40, 000
“The amount invested in the bond must be at least $70,000”
c ≥ 70, 000
Putting this all together, our linear optimization problem is:
Maximize z = 1.09x + 1.04y + 1.05c
subject to
x+ y+ c ≤ 200, 000
x/2 +y/2 -c/2 ≤ 0
≤ 40, 000,
c ≥ 70, 000
a ≥ 0, b ≥ 0, c ≥ 0.
Answer:
message it will be easy er to explain
Step-by-step explanation: