Answer:
0.375
Step-by-step explanation:
0.6875-0.3125 = 0.375
Answer:
(-2x - 1) • (x + 3)
Step-by-step explanation:
3.2 Factoring 2x2 + 7x + 3
The first term is, 2x2 its coefficient is 2 .
The middle term is, +7x its coefficient is 7 .
The last term, "the constant", is +3
Step-1 : Multiply the coefficient of the first term by the constant 2 • 3 = 6
Step-2 : Find two factors of 6 whose sum equals the coefficient of the middle term, which is 7 .
-6 + -1 = -7
-3 + -2 = -5
-2 + -3 = -5
-1 + -6 = -7
1 + 6 = 7 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, 1 and 6
2x2 + 1x + 6x + 3
Step-4 : Add up the first 2 terms, pulling out like factors :
x • (2x+1)
Add up the last 2 terms, pulling out common factors :
3 • (2x+1)
Step-5 : Add up the four terms of step 4 :
(x+3) • (2x+1)
Which is the desired factorization
Answer:
Slope is 2
Step-by-step explanation:
m = (y2-y1)/(x2-x1)
m = (4-0)/(0 - -2) = 4/2 = 2
Vsphere=(4/3)pir^3
when we replace r with 2r
newvsphere=(4/3)pi(2r)^3
newvsphere=(4/3)pi8r^3
newvsphere=8((4/3)pir^3)
newvsphere=8(vsphere)
it's volume is multipliied by 8
that is choice C, because 2^3=8, it's vollume is 8 times original voluem
answer is C
Answer:
(D)Prove that opposite sides are congruent and that the slopes of consecutive sides are opposite reciprocals
Step-by-step explanation:
Let us verify the choosen option
In Quadrilateral ABCD with points A(-2,0), B(0,-2), C(-3,-5), D(-5,-3)
Using the distance formula
Since |AB| is congruent to |CD| and |BC| is congruent to |AD|, we conclude that opposite sides are congruent.
Next, let us consider the slope.
Slope of |AB|= 
Slope of |BC|
Since the slopes of consecutive sides are opposite reciprocals, therefore ABCD is a rectangle.
<u>Option D is the correct option.</u>
