Answer:
Step-by-step explanation:
We know that ∠A and ∠B are the same exact length. Since one of the angles is given to us in an exact length, we can set the measures equal to each other.
Let’s solve for x.
Hope this helped!
Answer:
There are two complex roots:
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<h3>Given equation:</h3>
The standard form is:
Compared we can find values of the coefficients and the constant:
Substitute these values into quadratic formula:
and work out roots:
Answer:
D. independent because the outcome of the first roll doesn't affect the outcome of the second roll
Answer:
k = 8
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
Step-by-step explanation:
<u>Step 1: Define</u>
-84 = -2(2 + 5k)
<u>Step 2: Solve for </u><em><u>k</u></em>
- Divide -2 on both sides: 42 = 2 + 5k
- Isolate <em>k</em> term: 40 = 5k
- Isolate <em>k</em>: 8 = k
- Rewrite: k = 8
<u>Step 3: Check</u>
<em>Plug in k into the original equation to verify it's a solution.</em>
- Substitute in <em>k</em>: -84 = -2(2 + 5(8))
- Multiply: -84 = -2(2 + 40)
- Add: -84 = -2(42)
- Multiply: -84 = -84
Here we see that -84 does indeed equal -84.
∴ k = 8 is the solution to the equation.
Y = kx²
27 = k(3²)
k = 27/9
k = 3