Answer: See below
Step-by-step explanation:
a) 6(3x+4y-8)
Use the distributive property:
6*3x + 6*4y - 6*8
18x + 24y - 48
<u>So D is the correct answer</u>
b) Factor out 4 because it can fit into 12 - 3 times - and 4 - one time.
12+4x
= 4(3+x)
<u>So D is the correct answer</u>
c) When you expand both <u>C and D</u> and simplify, you get 16x+36 as solution
d) 14x+2y+10z
Factor out 2 because it can fit into 14, 7 times. 2, one time. And 10, 5 times
14x+2y+10z
= 2(7x+y+5z)
<u>So D is the correct answer again ;)</u>
Yes because if you change them to the same denominator 5/12 would still be 5/12 and 1/6 would be 2/12 so yes 5/12 is greater than 1/6
If the center is in point P(a,b) and has a radius r then circle equation is:
(x-a)²+(y-b)²=r².
In your task we've got P(0,0) so the circle equation is x²+y²=r².
We have to find r. Radius start at (0,0) and end at (-4,-6) therefore
r=√((-4)²+(-6)²) and
r²=(-4)²+(-6)²=16+36=52.
So answer is x²+y²=52.
Answer is A. 3 1/4 is to the left of 7/2 and 7/2 is to the left of 3.75.
With a horizontal line, they are talking about the integers from positive to negative. as you go left the numbers decrease and as you go right the numbers increase
First change 3 1/4 and 7/2 into decimals
3 1/4= 3.25
7/2= 3 1/2= 3.5
Here are your decimals from least to greatest.
3.25, 3.5, 3.75
So 3.25 (3 1/4) is to the left of 3.5 (7/2) and it is to the left of 3.75
30, radius is equal to half the diameter, so to get diameter from the radius, multiply the radius by two.