Answer:
Whenever you divide two terms with the same base, you <u>keep</u> the base and <u>subtract</u> the exponents.
Example:
x³ / x⁷ = x³⁻⁷ = x⁻⁴ = 1 / x⁴
or
8¹³ / 8⁶ = 8¹³⁻⁶ = 8⁷
Whenever you multiply two terms with the same base, you <u>keep</u> the base and <u>add</u> the exponents.
Example:
x³ × x⁷ = x³⁺⁷ = x¹⁰
or
12⁻⁵ × 12⁹ = 12⁻⁵⁺⁹ = 12⁹⁻⁵ = 12⁴
8b - 1 = 24b + 4
Subtract 8b from both sides.
-1 = 16b + 4
Subtract 4 from both sides.
-5 = 16b
Divide by 16 on both sides.
<span>-0.3125 = b</span>
The height of the building is 3 feet
<h3>How to determine the value</h3>
From the information given, we have that;
- Angle of elevation = 4. 72 degrees
- hypotenuse side = 36 feet tall
- Building height is the opposite side
Using the sine identity:
sin θ = opposite/hypotenuse
Substitute the values
sin 4. 72 = x/ 36
cross multiply
x = sin 4. 72 × 36
x = 0. 0822 × 36
x = 3 feet
Thus, the height of the building is 3 feet
Learn more about angle of elevation here:
brainly.com/question/19594654
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Answer:
a
Step-by-step explanation:
Point A is the first coordinate they say, just translate it 6 to the right and 1 up
Answer:
Every ordered pair within this region will satisfy the inequality y ≥ x. Incorrect. The boundary line here is y = x, and the correct region is shaded, but remember that a dotted line is used for < and >. The inequality you are graphing is y ≥ x, so the boundary line should be solid.