Answer:
5
Step-by-step explanation:
0.5x=6-3.5
0.5x=2.5
x=2.5÷0.5
x=5
Yes that is right
x=-4 is a vertical line passing through the points (-4,y)
where y can be any value
Answer:
x = 8√2
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
<u>Trigonometry</u>
- [Right Triangles Only]: Pythagorean Theorem: a² + b² = c²
Step-by-step explanation:
<u>Step 1: Define</u>
We are given a right triangle. We can use PT to solve for the missing length.
<u>Step 2: Identify Variables</u>
Leg <em>a</em> = 8
Leg <em>b</em> = 8
Hypotenuse <em>c</em> = <em>x</em>
<u>Step 3: Solve for </u><em><u>x</u></em>
- Substitute [PT]: 8² + 8² = x²
- Exponents: 64 + 64 = x²
- Add: 128 = x²
- Isolate <em>x</em>: 8√2 = x
- Rewrite: x = 8√2
Answer:
Step-by-step explanation:
Circumference (Perimeter) of Circle Formula: The circumference of a circle is determined by the following formula
C
=
D
×
π
where
D
is the length of the diameter of the circle and
π
≈
3.14
.
Circumference (Perimeter) of Circle Formula: The circumference of a circle is determined by the following formula
C
=
2
×
r
×
π
where
r
is the length of the radius of the circle and
π
≈
3.14
.
Area of Circle Formula: The area of a circle is determined by the following formula
A
=
r
×
r
×
π
=
r
2
×
π
Answer:
BC = 15
Step-by-step explanation:
Because of parallel lines, AD and BE, triangles ADC and BEC are similar.
In similar triangles, the lengths of corresponding sides are proportional.
AC/BC = DC/EC
We see that AC = AB + BC = 3 + BC
Also, DC = DE + EC = 2 + 10 = 12
(3 + BC)/BC = 12/10
(3 + BC)/BC = 6/5
Cross multiply.
5(3 + BC) = 6BC
15 + 5BC = 6BC
15 = BC
BC = 15
