Hello :
let : x the length and y the <span>width
the perimeter is : 2(x+y)
2(x+y) = 70 and : x/y =4/5
x+y = 35 ......(1)
x = (4/5)y ... (2)
subsct in : (1)
</span> (4/5)y +y = 35
4y+5y = 175
9y = 175
y = 175/9
in (2) : x = (4/5)(175/9) = 140/9
Answer:
Rate of interest will be 1.33 %
Return on this investment = 
%
Step-by-step explanation:
We have given principle amount P = $9000
Time = 61 days = 
We have to find the rate of interest
Total amount produce at the end of term = $9020
So interest = $9020 - $9000 = $20
We know that simple interest 
%
Return on this investment = %
Answer:
<u>5/4</u>
Step-by-step explanation:
Given :
- tanθ = 3/4 = opposite/adjacent
Finding the missing side :
- The hypotenuse must be found
- √3² + 4²
- √25
- 5
Taking the sec ratio :
- secθ = hypotenuse/opposite
- secθ = <u>5/4</u>
Answer:
C.g(x) = 5x²
Step-by-step explanation:
To find the equation for the function g(x), use the format for a quadratic equation. Without any up/down and left/right shifts, the form is y = ax².
Substituting "x" and "y" into the equation tells you if a point is on the graph.
"a" tells you the vertical stretch (greater than 1) or compression (greater than 0, less than 1).
In f(x) = x², a = 1 even though it's not written.
<u>Use the point (1, 5) on g(x) and substitute it</u> into the form for a quadratic function. Remember points are (x, y), so x = 1 and y = 5.
g(x) = ax²
y = ax² In function notation, g(x) replaces the "y". Switch it back to "y".
5 = a(1)² Substitute x = 1 and y = 5
5 = a(1) Solve the exponent first. (1)² = 1
5 = a When you multiply "a" by 1, the answer is just "a".
a = 5 Solved for "a". Put variable on left side for standard formatting.
With the quadratic form, substitute "a" into g(x).
y = ax²
g(x) = 5x²
Answer:
1/4,0.5, and 3/8 on edg
Step-by-step explanation:
