Answer:
d. 
e. ![x=\sqrt[3]{\dfrac{15}{4}}](https://tex.z-dn.net/?f=x%3D%5Csqrt%5B3%5D%7B%5Cdfrac%7B15%7D%7B4%7D%7D)
Step-by-step explanation:
I've typed up my workings in MS Word and attached them (as it's very difficult to type this in the Brainly equation editor).
I've used the product, quotient and power log laws.
Product: 
Quotient: 
Power: 
The resulting equation if Becca isolated x² in the first equation and then substituted it into the second equation is (9-y²) / 25 - y²/36 = 1
<h3>Equation</h3>
x² + y² = 9
x²/25 - y²/36 = 1
From (1)
x² = 9 - y²
substitute x² = 9 - y² into (2)
x²/25 - y²/36 = 1
(9-y²) / 25 - y²/36 = 1
Therefore, the resulting equation is option C; (9-y²) / 25 - y²/36 = 1
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-4x - 8 > -20
Add 8 to both sides
- 4x > -12
Divide both sides by -4
**When you divide by a negative you must change the direction of the inequality sign**
x < 3
Letter C
Length = x
width = y
y = 16
x = 2y
x = 2(16)
x = 32
perimeter = 2x + 2y
= 2(32) + 2(16)
= 64 + 32
= 96
Answer:
Option 4. Perimeter = 30 units
Step-by-step explanation:
Since the volume of a pentagonal prism is 840 cubic units.
Perpendicular distance between the bases = 14 units
We know volume of a pentagonal prism = Area of base × distance between the bases
840 = Area × 14
Area = 840/14 = 60 square units
Now area of a pentagon




Therefore perimeter of the pentagon = 5×a = 5×5.91 = 29.54 ≈ 30 units