Answer:
a. 4(d+3e)
b. 6(3x+5y)
c. 7(3a+4y)
d. 8(3f+7g)
Step-by-step explanation:
In each case we find the greatest common factor of the numbers. That is the greatest number that goes into both the numbers. Then we factor it out in front and inside parentheses we divide each original term by the greatest common factor:
a. 4d+12e, GCF: 4
b. 18x+30y, GCF: 6
c. 21a+28y, GCF: 7
d. 24f+56g, GCF: 8
For the first question, the answer is 25/14.
Because 14x = 25y Which means x must equal more than y. And 25/14 is the only answer like this.
For the second question, the answer is 30 x 18.
30/5 = 6 18/3 = 6 18 + 18 + 30 + 30 = 96
So, both the perimeter and the ratio is correct with this answer.
For the third question, the first answer is correct.
x < -4 and only a negative number can be less than another negative. Also, the negative must have a higher value to be less than another negative.
For the last question, the last answer is correct. no explanation for this one, it would take too long ;)
X+24*(1/x)=11
x+24/x=11
x²+24=11x
x²-11x+24=0
(x+3)(x-8)=0
x=-3, x=8
checking : 8+24*(1/8)=11, 8+3=11 correct
-3+24*(1/-3)=-3-8=-11 incorrect
number is 8, reciprocal is 1/8
A^2 + b^2 = c^2
where a and b are the sides, and C is the hypotenuse (longest side)
basically
a + 13^2 = 16^2
so
a + 169 = 256
to find what A is, 256 - 169 = a = 87
but, because a is squared, you need the square root of 87 if it is a whole number, but it isn't-
Answer =
