Logₐx=b means aᵇ=x
reverse
aᵇ=x means logₐx=b
so
2³=x means log₂x=3
I say it is A
Greatest error is half smallest measuring unit. It's measured to 0.1 cm , half that is 0.05 cm answer D.
Answer:
(3x+4)(5x+7)
Step-by-step explanation:
15x^2
+41x+28
Factor the expression by grouping. First, the expression needs to be rewritten as 15x^2
+ax+bx+28. To find a and b, set up a system to be solved.
a+b=41
ab=15×28=420
Since ab is positive, a and b have the same sign. Since a+b is positive, a and b are both positive. List all such integer pairs that give product 420.
1,420
2,210
3,140
4,105
5,84
6,70
7,60
10,42
12,35
14,30
15,28
20,21
Calculate the sum for each pair.
1+420=421
2+210=212
3+140=143
4+105=109
5+84=89
6+70=76
7+60=67
10+42=52
12+35=47
14+30=44
15+28=43
20+21=41
The solution is the pair that gives sum 41.
a=20
b=21
Rewrite 15x^2
+41x+28 as (15x^2
+20x)+(21x+28).
(15x^2
+20x)+(21x+28)
Factor out 5x in the first and 7 in the second group.
5x(3x+4)+7(3x+4)
Factor out common term 3x+4 by using distributive property.
(3x+4)(5x+7)
Answer: 6 I belive
Step-by-step explanation:
The first one: The formula for a trapezoid is 1/2 h(b1+ b2) or if you split it up do 1/2 the base times the height on the triangle, then do length times width on the rectangle.
The second one: Just put and imaginary line down the sides of the H leaving the middle. The dimensions of the middle are, 3 by 4. The dimensions of the two sides are 12 by 3. Just multiply length times width, and for the two long sides... multiply by two. You should get 72 for it. Just add twelve to that, and you are good to go!
