<span>The diagonals of a rectangle have equal lengths. Since AC has a length of 28,
and AC is a diagonal, the other diagonal BD also has a length of 28.
The diagonals of a rectangle also bisect each other. So diagonal BD is
bisected by the other diagonal AC at point E. And since diagonal BD has
a length of 28 then BE and ED both have a length which is of 28,
or 14 each.
Answer: ED has a length of 14.</span>
Answer:
10 cups
Step-by-step explanation:
Ratio of water:juice = 2:3
2:3
?:15
3*5 = 15
2*5 = 10
Answer:
f⁻¹(x) = x - 3
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality<u>
</u>
<u>Algebra I</u>
- Functions
- Function Notation
- Inverse Functions
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
f(x) = x + 3
<u>Step 2: Find</u>
- Swap: x = y + 3
- [Subtraction Property of Equality] Isolate <em>y</em>: x - 3 = y
- Rewrite: f⁻¹(x) = x - 3
Answer:
283.5
Step-by-step explanation:
A=πr^2
A=π(9.5^2)
A=π(90.25)
π x 90.25=283.5 (rounded to the nearest tenth)
Answer:
7.5 30
45 180
Step-by-step explanation:
The given line has x = 1.25 and y = 5.
y/x = 5/1.25 = 4
x is multiplied by 4 to get y since 1.25 * 4 = 5.
That means the equation is
y = 4x
For a proportional function, every value of x must be multiplied by 4 to get y.
x = 7.5
y = 4x = 4(7.5) = 30
7.5 30
We need to find the values for the last line.
11 * 4 = 44
There is no 44
13.75 * 4 = 55
There is no 55.
17.5 * 4 = 70
There is no 70
30 * 4 = 120
There is no 120.
45 * 4 = 180
There is a 180.
45 180
Answer:
7.5 30
45 180