Answer:
- -26
- -24
- -22
Step-by-step explanation:
<u>Let x be the smallest number (first)</u>
<u>Let (x + 2) be the second number (second)</u>
<u>Let (x + 4) be the greatest number (third)</u>
<u>Set equation according to the given information</u>
-4 [x + (x + 4)] = 192
<u>Simplify parentheses</u>
-4 [x + x + 4] = 192
-4 [2x + 4] = 192
<u>Expand bracket and apply the distributive property</u>
(-4) · 2x + (-4) · 4 = 192
-8x - 16 = 192
<u>Add 16 on both sides</u>
-8x - 16 + 16 = 192 + 16
-8x = 208
<u>Divide -8 on both sides</u>
-8x / -8 = 208 / (-8)
<u>Find the value of the second term</u>
x + 2 = (-26) + 2 =
<u>Find the value of the third term</u>
x + 4 = (-26) + 4 =
Hope this helps!! :)
Please let me know if you have any questions
Answer:
4.25
Step-by-step explanation:
Since we have the endpoints of a diameter the center is very easy to find. It is the midpoint of the diameter endpoints, which is just the average coordinates...
The center is:
((-7+3)/2, (-10+2)/2)
(-2,-4)
To find the radius we can use the endpoints again to find the diameter squared and then get the radius from that:
d^2=(dy)^2+(dx)^2
d^2=(2--10)^2+(3--7)^2
d^2=12^2+10^2
d^2=144+100
d^2=244
d=√244, since d=2r, r=d/2
r=√(244/4)
r=√61
The equation of a circle is (x-h)^2+(y-k)^2=r^2. We found earlier that the center was at (-2,-4) and we just saw that r^2=61 so:
(x+2)^2+(y+4)^2=61
Answer:
assuming the squares are 1cm by 1cm
area 7
perimeter 16
Step-by-step explanation:
it just works
Subtract 3 from both sides
5x=5
Divide both sides by 5
x=1