Answer:
1. 16x2−40x+25
Perfect Square Trinomial
2. x2−2x−8
Trinomial when A>1
3. 3x2+6xy+9xy2
Greatest Common Factor (GCF)
4. 64x2−100
Difference of Squares
5. 27x3+8y6
Sum of Cubes
6. 64x9−y3
Difference of Cubes
7. 6x2+19x+15
Trinomial when A=1
8. 6x3+3x2+8x+4
Grouping
Step-by-step explanation:
A trinomial is a polynomial which has three terms.
1. 16x2−40x+25
(4x)2 - 2(4x)(5) + (5)2
= (4x-5)2
Perfect Square Trinomial
2. x2−2x−8
= x2 - 4x+2x-8
= x(x-4) +2 (x-4)
= (x+2)(x-4)
Trinomial when A>1 ( when we will put x= 1 we will get a negative value)
3. 3x2+6xy+9xy2
=3x(x+2y+3y2)
(3x is common)
Greatest Common Factor (GCF)
4. 64x2−100
= (8x)2- (10)2
= (8x-10)(8x+10)
Difference of Squares
5. 27x3+8y6
=(3x)3+(2y2)3
= (3x+2y)(6x2-6xy+4y2)
Sum of Cubes
6. 64x9−y3
= (4x3)3- (y)3
Difference of Cubes
7. 6x2+19x+15
= 6x2 + 9x + 10x + 15
= 3x( 2x+3) + 5(2x+3)
= (2x+3)(3x+5)
Trinomial when A=1
8. 6x3+3x2+8x+4
Grouping
Grouping usually has four or more terms
6x3+3x2+8x+4
=3x2(2x+1) + 4(2x+1)
=(3x2+4) (2x+1)
Answer:
<B = <G
Step-by-step explanation:
ABC ≅FGH
<A = <F
<B = <G
<C = <H
because corresponding parts of congruent triangles are congruent
The area of a hexagonal pyramid can be calculated as follows ;
Total Area = area of hexagonal base + area of lateral faces
Lateral faces are - 6 triangular faces
Area of lateral faces = 1/2 x perimeter x slant height
Perimeter = sum of the sides of hexagon
= 4 + 4 + 4 + 4 + 4 + 4
= 24
Slant height - 6
Area of lateral faces = 1/2 x 6 x 24
= 72
Area of base is area of the hexagon
Area of hexagon can be calculated using the following equation ;
Area = 3(√3)/2 side²
= 41.57
Total area = 41.57 + 72
= 113.57
Answer:
<h2>y = 2x - 1</h2>
Step-by-step explanation:
It's an equation of a line in the slope-intercept form.
<em>m</em><em> - slope</em>
<em>b</em><em> - y-intercept → (0, b)</em>
<em />
Choose any two ordered pairs (x, y) from the given table.
(0, -1) → <em>b = -1</em>, (2, 3).
Calculate the slope.
Use the formula:
Substitute the coordinates of the points:
Finally: