Answer:
The common difference is 2
Step-by-step explanation:
The formula for an arithmetic sequence is
an = a1+d(n-1)
a1 = -5
a10 = 13
Substituting n=10 a10=13 and a1 =-5
13 = -5 +d (10-1)
13 = -5 +9d
Add 5 to each side
13+5 = -5+5 +9d
18 = 9d
Divide each side by 9
18/9 = 9d/9
2 =d
If the diameter is 18, the radius would be nine. Someone please tell me if I missed something.
Answer:
4. 110 slices
5. B.12.8 mi
Step-by-step explanation:
For question for you divide the number of slices, 176, by the number of loafs, 8. this give give you a total of 22. you then take 22 and multiple if by 5, leaving your answer to 110 slices of bread.
For question 5, you multiple 8 kilometers by 1.6 kilometers, which is 12.8 miles.
I hope this helps :))
Since the triangle is a right triangle at point B, then line AB is perpendicular to line BC.
For perpendicular lines, the product of their slopes is -1.
Slope of AB = (5 - 0)/(2 - 5) = 5/-3 = -5/3
Slope of BC = (y - 5)/(7 - 2) = (y - 5)/5
-5/3(y - 5)/5 = -1
-5(y - 5)/15 = -1
-5(y - 5) = -15
y - 5 = 3
y = 3 + 5 = 8
Therefore, the y-coordinate of point C is 8.
Area=legnth times width or
a=lw
if w=4/5l
and a=320 then subsitute 320 for a dn 4/5l for w
320=4/5l times l
multiply both sides by 5 to clear fraction
1600=4l times l
ad like terms
1600=4l^2
subtract 1600 from both sides
0=4l^2-1600
try and factor because if you have xy=0 then x and/or y=0 so
difference of 2 perfect squares where
if you have a^2-b^2 then that equals(a-b)(a+b) so
0=(2l)^2-(40)^2=(2l-40)(2l+40)
so 2l-40=0
add 40 to both sides
2l=40
divide by 2
l=20
if
2l+40=0
subtract 40 from both sides
2l=-40
divide 2
l=-20
since meausrements of real objects cannot be negative, wediscard this number
l=20 is thhe true legnth s
subsitute
w=4/5l
w=4/5(20)
w=80/5
w=16
legnth=20
width=16
