Answer:
x = -15/8
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>
Step-by-step explanation:
<u>Step 1: Define</u>
-7 - 3x = 1x + 4(2 + x)
<u>Step 2: Solve for </u><em><u>x</u></em>
- Distribute 4: -7 - 3x = x + 8 + 4x
- Combine like terms: -7 - 3x = 5x + 8
- [Addition Property of Equality] Add 3x on both sides: -7 = 8x + 8
- [Subtraction Property of Equality] Subtract 8 on both sides: -15 = 8x
- [Division Property of Equality] Divide 8 on both sides: -15/8 = x
- Rewrite/Rearrange: x = -15/8
The formula for the circumference, C, of a circle with radius r is given.
C=2pi
Amanda made a circular toy hoop using a plastic tube. The circumference of the hoop is 125.6 inches. What is the radius of the hoop? Use 3.14 for pi.
The answer is
D.
40 inches
Answer:
(B) The magnitude is 7sqrt2, and the direction angle is approximately 135 degrees.
Step-by-step explanation:
From the figure, the coordinate of the tail of the vector,
The coordinate of the head of the vector,
The magnitude of a vector is the length between the head and tail of the vector.
By using the distance formula,
the magnitude of the vector 
Now, let 
be the angle made by the vector with the positive direction of the x-axis, so
So, the magnitude of the vector is 
which makes 
with the positive direction of the x-axis.
Hence, option (B) is correct.
