Answer:
2x + 3 )(x + 2 )
Step-by-step explanation:
2x² + 7x + 6
Find two numbers multiplied together to get 6
and if you multiply one by 2, the answer is 7:
Tested:
6 & 1 but 6 · 2 + 1 = 13 or 6 + 2 · 1 = 8 No
2 & 3 and 2 · 2 + 3 = 7 Yes
2x² = 2x & x
all signs are positive
trinomial factoring ( )( )
( + )( + )
2 and 3 are the numbers to use (2x + 3 )(x + 2 ) or (2x + 2) (x + 3)
The largest number goes with the 2x.
Therefore (2x + 3 )(x + 2 )
Check 2x(x + 2) + 3(x + 2)
2x² + 4x + 3x + 6
2x² + 7x + 6 checked
Answer:
1. 1/4
2. 5/6
3. 87/40
4. 2/11
5. 49/54
6. 3/8
7. 9/2
8. 5
9. 31/9
10. 25/12
Answer:
Step-by-step explanation:
a) Area of white square = side *side = 8 * 8 = 64 sq.mm
Area of 4 white square = 4 * 64 = 256 sq.mm
compound shape
length = 3 cm = 30 mm
Width = 2 cm = 20 mm
Area of compound shape = length *width = 30 * 20 = 600 sq.mm
Area of the shaded part of the compound shape =
Area of compound shape - Area of 4 white square
= 600 - 256
= 344 sq.mm
b) Perimeter of compound shape = 2*(length + width)
= 2*(30 +20)
= 2* 50
= 100 mm
Answer:
volume of cone = 1/3 volume of cylinder
according to the question, volume of cylinder =
V =
diameter = 3 inches
radius = 3/2 inches
height = 8 inches
V = 22.7 * (3/2)²* 8
V = 22.7 * 9/4 * 8
V = 22.7 * 18
maximum volume a cone can have = 1/3 of cylinder
Volume of cone = 1/3 * 22.7 * 18
= 22.7 * 6
= 132.6
So an equation of any line is y=mx+b.
We know that the m, or slope, equals 3.
y=3x+b
Now we find the b, or the y-intercept, by substituting the x and y values into their places.
4=3*1+b
4=3+b
b=1
Now that we have the y-intercept, we just substitute the m and b into the equation and receive our final answer:
y=3x+1