Answer:
(6, 2.5 )
Step-by-step explanation:
Given y varies inversely as x then the equation relating them is
y =
← k is the constant of variation
To find k substitute the coordinate point (5, 3 ) into the equation, that is
3 =
( multiply both sides by 5 )
15 = k
y =
← equation of variation
Using (x, 2.5 ) with y = 2.5 , then
2.5 =
( multiply both sides by x )
2.5x = 15 ( divide both sides by 2.5 )
x = 6
Thus point is (6, 2.5 )
Answer:
Step-by-step explanation:
Simplifying
4x + 11 = k
Reorder the terms:
11 + 4x = k
Solving
11 + 4x = k
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-11' to each side of the equation.
11 + -11 + 4x = -11 + k
Combine like terms: 11 + -11 = 0
0 + 4x = -11 + k
4x = -11 + k
Divide each side by '4'.
x = -2.75 + 0.25k
Simplifying
x = -2.75 + 0.25k
The amount of money Shai saved:

The amount of money Nyah saved:

The total amount three people saved:

Answer: width= 3 inches; length= 12 inches.
Step-by-step explanation:
From the question, the length is 4 times greater than the width.
Let the width of the banner be represented by y.
Since the length is 4 times greater than the width. It will be denoted as:
Length= 4 × y = 4y
Since area= length×width
4y × y = 36
4y^2 = 36
Divide both side by 4
y^2 = 36/4
y^2 = 9
We have to find the square root of 9
y= √9
y = 3
The width is 3 inches.
The length will be: (3×4) = 12 units.
Answer: D. x=9√3; y=18
Step-by-step explanation:
This is a 30-60-90 special triangle, where we can use the rules to find the value of x and y. (For specific explanation, please look at the attachment below)
-----------------------------------------------------------------------------------------------------
<u>X value</u>
- The shortest side of the triangle that corresponds with [x] is 9 units. This is because it is half of the larger triangle's side length.
- Using the rules, the shortest side is x, then the second short side is x√3
- Substitute value in= x√3=(9)√3=9√3
Y value
- The shortest side of the triangle that corresponds with [x] is 9 units. This is because it is half of the larger triangle's side length.
- Using the rules, the shortest side is x, then the longest side is 2x
- Substitute value in= 2x=2(9)=18
Hope this helps!! :)
Please let me know if you have any questions