Easier if you first factor out the " - " sign. Then you have:
–8x3 – 2x2 – 12x – 3 = -1(<span>8x3 + 2x2 + 12x +3).
</span>
Start with 12 + 3. This factors to 3(4x+1). Next, focus on 8x^3+2x^2. This factors to 2x^2*(4x+1). So, the binomial factor 4x+1 is common to the first two terms and the second two terms. We get: (4x+1) ( 2x^2 + 3).
Now put the "-" sign back in, and we get - (4x+1) ( 2x^2 + 3) (answer)
Please note: Use "^" to denote exponentiation. 2x2 is meaningless; it should be 2x^2.
C 64 I hope I help you out
Answer:
1. 617.5 cm³
2. 335.6 in³
3. 151.6 m³
4. 3479.1 ft³
Step-by-step explanation:
1.
B1: 19.5 × 9 = 175.5
B2: 6 × 13 = 78
sqrt(B1 ×B2) = 117
h = 5
Volume = ⅓ × 5 × [175.5 + 78 + 117]
617.5
2.
B1: 3.14 × 4.5² = 63.585
B2: 3.14 × 3² = 28.26
sqrt(B1 ×B2) = 42.39
h = 7.5
Volume = ⅓ × 7.5 × [63.585 + 28.26 + 42.39]
335.5875
3.
B1: ½(8+12) × 6 = 60
B2: ½(3+4.5) × 2.25 = 8.4375
sqrt(B1 ×B2) = 22.5
h = 5
Volume = ⅓ × 5 × [60 + 8.4364 + 22.5]
151.5625
4.
B1: 3.14 × 12² = 452.16
B2: 3.14 × 7² = 153.86
sqrt(B1 ×B2) = 263.76
h² = 13² - (12-7)²
h² = 13² - 5²
h² = 144
h = 12
Volume = ⅓ × 12 × [452.16 + 153.86 + 263.76]
3479.12
Answer:
Charles spend 
of his money on the hot dog
Step-by-step explanation:
In this problem we have that
$15 represent the 100% o the money
so
using proportion
Find out what percentage 3 dollars represents
Answer:
a = 8
b = 4√5
Step-by-step explanation:
Corresponding sides of similar triangles are proportional.
short side/long side = a/16 = 4/a
a² = 64 . . . . . . multiply by 16a
a = 8 . . . . . . take the square root
__
hypotenuse/short side = b/4 = 20/b
b² = 80 . . . . . . . multiply by 4b
b = 4√5 . . . . . take the square root
_____
<em>Additional comment</em>
These relations for the right triangle can be summarized by the rule "the length of a segment that touches the hypotenuse is the geometric mean of the two hypotenuse segments it touches." In the case of b, that means ...
b = √((4)(4+16)) = 4√5
The same sort of relation applies to the unmarked vertical segment on the left:
c = √((16)(16+4)) = 8√5
And, we saw ...
a = √((4)(16)) = 8
Of course, if this rule is to make sense, you need to know that the geometric mean of two numbers is the square root of their product. (In general, the geometric mean of n numbers is the n-th root of their product.)
