Answer:
x = 4√5
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
- a is one leg
- b is another leg
- c is hypotenuse
Step-by-step explanation:
<u>Step 1: Identify Variables</u>
a = 19
b = <em>x</em>
c = 21
<u>Step 2: Solve for </u><em><u>x</u></em>
- Substitute [PT]: 19² + x² = 21²
- Isolate <em>x</em> term: x² = 21² - 19²
- Exponents: x² = 441 - 361
- Subtract: x² = 80
- Isolate <em>x</em>: x = √80
- Simplify: x = 4√5
Answer:
I need the picture of the pyramid to solve.
Step-by-step explanation:
Answer:
x ≥ -6
Step-by-step explanation:
-3x-7 ≤ 11
-3x-7+7 ≤ 11+7
-3x ≤ 18
(-3x)(1) ≤ 18(-1)
3x ≤ -183x/3 ≤ -18/3
The vector ab has a magnitude of 20 units and is parallel to the
vector 4i + 3j. Hence, The vector AB is 16i + 12j.
<h3>How to find the vector?</h3>
If we have given a vector v of initial point A and terminal point B
v = ai + bj
then the components form as;
AB = xi + yj
Here, xi and yj are the components of the vector.
Given;
The vector ab has a magnitude of 20 units and is parallel to the
vector 4i + 3j.
magnitude

Unit vector in direction of resultant = (4i + 3j) / 5
Vector of magnitude 20 unit in direction of the resultant
= 20 x (4i + 3j) / 5
= 4 x (4i + 3j)
= 16i + 12j
Hence, The vector AB is 16i + 12j.
Learn more about vectors;
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