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:
POINT B LIES ON FOUR FACES OF THE PYRAMID
Step-by-step explanation:
A PYRAMID HAS FIVE FACES IN THAT FOUR ARE TRIANGLE ONE IS SQUARE AS POINT B LIES AT THE TOP OF FOUR TRIANGLES WE CONSIDER AS IT LIES ON FOUR FACES OF A PYRAMID
I'VE TRYED MY LEVEL TO HELP YOU ONLOCK A STAR AND ADD ME AS BRAINLIEST
Answer:
0, -10, -20, -30, -40, -50, ..., -10(n-1)
Step-by-step explanation:
An arithmetic sequence with a common difference of -10 just indicates that each term adds negative ten to the prior one, which is just subtracting ten. If you slap a random value as the beginning, zero in my example, then you spam subtract negative tens, you get an arithmetic sequence. The variable "n" is just the term number - 0 was n=1, -10 was n=2, -20 was n=3, etc.
Answer:
= 18 
Step-by-step explanation:
As the triangle is right angled:
formula
= 
base x height
= 6 x 6
= x 36
=
= 18
X=64 how you not know that?
