Answer:
The correct answer is option C: (8, 14).
Step-by-step explanation:
The car's displacement in vector form can be found by subtracting the initial points from the final points.
Initial: (x₁, y₁) = (-3, -5)
Final: (x₂, y₂) = (5, 9)
For the x-coordinate, we have:
And for the y-coordinate, we have:
The car's displacement in vector form is:
Therefore, the correct answer is option C: (8, 14).
I hope it helps you!
Answer:
Option C is correct.
The value of x nearest to tenth is, 21.4 units
Step-by-step explanation:
In a given right angle triangle;
by definition of tangent ratio i,e
or
units
Therefore, the value of x nearest to tenth is, 21.4 units
Answer:
The answer would be A. -4
Step-by-step explanation:
If you right it out like x-6=5(x+2), then you distribute the 5, you get: x-6=5x+10. Then subtract x from both sides, you get: -6=4x+10. Subtract 10 from both sides, you get: -16=4x. The all you have to do is divide both sides by 4, and you get: -4=x
Answer:
x = 2.2
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>
3.2(x - 1) + 1.5(2x - 2) = 7.44
<u>Step 2: Solve for </u><em><u>x</u></em>
- Distribute: 3.2x - 3.2 + 3x - 3 = 7.44
- Combine like terms: 6.2x - 6.2 = 7.44
- Isolate <em>x</em> term: 6.2x = 13.64
- Isolate <em>x</em>: x = 2.2
<u>Step 3: Check</u>
<em>Plug in x into the original equation to verify it's a solution.</em>
- Substitute in <em>x</em>: 3.2(2.2 - 1) + 1.5(2(2.2) - 2) = 7.44
- Multiply: 3.2(2.2 - 1) + 1.5(4.4 - 2) = 7.44
- Subtract: 3.2(1.2) + 1.5(2.2) = 7.44
- Multiply: 3.84 + 3.6 = 7.44
- Add: 7.44 = 7.44
Here we see that 7.44 does indeed equal 7.44
∴ x = 2.2 is the solution to the equation.
Answer:
a+b=d because of the exterior angle theorem that states "an exterior angle of a triangle is equal to the sum of it's two opposite non- a adjacent interior angles.