Answer:
<u>3</u><u>z</u><u>^2 + 3z - 6 </u>=0
3
3 (z^2 + z -2) = 0
3(z+2)(z - 1) = 0
z + 2-2 = 0 - 2
z = -2
z - 1 + 1 = 0 + 1
z = 1
Step-by-step explanation:
- factor out the GCF (3) and divide everything by it, and then set it equal to zero.
- since you have a degree of 2, factor it into two binomials that start with the square root of the first term and end with the square root of the second term.
- 3=0 is extraneous solution so we leave it, then we set each binomial equal to zero to solve for z.
note: your solutions is based on the degree or the exponent of the polynomial or the function.
Answer:
16.5 m
Step-by-step explanation:
The triangle shown in the figure is a right triangle, so we can use the Pythagoreas Theorem.
a² + b² = c²
a² + 32² = 36²
a² + 1024 = 1296
a² = 272
a = √272
a = 16.5
Answer: 16.5 m
Answer:
No solution
Step-by-step explanation:
10+2x=2x+8
2x=2x-2
0≠-2
The perimeter of a rectangle is 2L + 2W, where L and W are the length and width, respectively. The dimensions of the garden are given, 6 x 12 ft.
The amount of fencing needed is 2(6) + 2(12) = 12 + 24 = 36 ft of fencing
Answer:
Option A. 65 trees
Step-by-step explanation:
From the question given:
50 trees was in the forest. Then 23 of them were cut down.
The remaining trees = 50 — 23 = 27 trees.
Now 38 new trees were plant.
Total trees after cutting and planting = 27 + 38 = 65 trees
