Y=my+b
which is 2=5(3)+b
2=15+b
-13=b
The graph you chose has a y intercept of 5. In other words, the point (0,5) is on that graph. However, if we plugged x = 0 into the function f(x), we get
f(x) = 3*5^x
f(0) = 3*5^0
f(0) = 3*1
f(0) = 3
So the point (0,3) is actually on the graph. The graph is increasing. So the answer is the upper left corner (instead of the upper right corner)
A = a^2.....where " a " is the length of one side
A = 79
79 = a^2...take sqrt of both sides, eliminating the ^2
sqrt 79 = a
8.89 = a
so the length of one side is approximately 8.89 ft <==
Answer:
z = -9
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
<u>Algebra I</u>
- Terms/Coefficients/Degrees
Step-by-step explanation:
<u>Step 1: Define</u>
-21 = z - (-6 - 2z)
<u>Step 2: Solve for </u><u><em>z</em></u>
- Distribute negative: -21 = z + 6 + 2z
- Combine like terms: -21 = 3z + 6
- Isolate <em>z</em> term: -27 = 3z
- Isolate <em>z</em>: -9 = z
- Rewrite: z = -9
Answer:
a)
<u>The angle formed by intersecting chords is half of the sum of the intercepted arcs:</u>
- 1/2(mST + mPR) = m∠PUR
- 1.2(74° + mPR) = 77°
- 74° + mPR = 2*77°
- mPR = 154° - 74°
- mPR = 80°
b)
<u>The angle formed by two tangents is the half of the difference of the intercepted arcs:</u>
- m∠PSR = 1/2(mPTR - mPR)
- m∠PSR = 1/2(247° - (360° - 247°))
- m∠PSR = 247° - 180°
- m∠PSR = 67°
