Answer:
<u>x = 6</u>
Step-by-step explanation:
Taking the sides in proportion :
- EB/DC = AB/AC
- 8/24 = -3 + 2x/27
- 1/3 = -3 + 2x/27
- 3(-3 + 2x) = 27
- -9 + 6x = 27
- 6x = 36
- <u>x = 6</u>
Answer:
no solutions
Step-by-step explanation:
−2a + 2a + 7 = 8
Combine like terms
7 = 8
This is never true so there are no solutions
9514 1404 393
Answer:
about 9.80 cm
Step-by-step explanation:
The length of half the segment (h) can be found from the Pythagorean theorem:
h² +5² = 7²
h² = 7² -5² = 49 -25 = 24
h = √24 = 2√6
This is half the segment length, so the whole segment length is ...
L = 2h = 2(2√6)
L = 4√6 ≈ 9.7980
The length of the segment is 4√6 ≈ 9.80 cm.
Step-by-step explanation:
https://youtu.be/e7WGZHTZm0I
Answer:
3x + y = -5
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Distributive Property
- Equality Properties
<u>Algebra I</u>
Standard Form: Ax + By = C
Point-Slope Form: y - y₁ = m(x - x₁)
- x₁ - x coordinate
- y₁ - y coordinate
- m - slope
Step-by-step explanation:
<u>Step 1: Define</u>
[PS] y - 11 = 3(x - 2)
<u>Step 2: Rewrite</u>
<em>Find Standard Form</em>
- Distribute 3: y - 11 = 3x - 6
- Subtract 3x on both sides: -3x - y - 11 = -6
- Add 11 to both sides: -3x - y = 5
- Factor -1: -1(3x + y) = 5
- Divide -1 on both sides: 3x + y = -5