Answer:
3 :)
Step-by-step explanation:
<span>x^2+15=8x
</span><span>x^2-8x=-15
x^2 - 2 (x)(4) =-15
adding 16 on both sides
</span>x^2 - 2 (x)(4) +16=-15+16
x^2 - 2 (x)(4) + 4^2= 1
(x-4)^2=1
taking square root on bothsides x-4 = +-1
so x-4=1 or x-4=-1
x-5 or x=3
A)lim(x--->-3) x^2-9/x+3=x-3=-6
k should be -6 in A
B)lim (x---->0) e^x-1/x --HOP-->e^x/1=1
k should be 1 in B
C)lim (x---->1/2) sin(5πx)-1/2x-1 ----hop-->5π*cos(5πx)/2=0
k should be 0 in C
Answer:
5. x= 13 y= 18.4
6.
Step-by-step explanation:
question 5:
tan45=x/13
multiply both sides by 13 to get x by its self.
end up with 13×tan45 so put that in the calculator to get x
then you do cos45= 13/y
multiply by y on both sides.
end up with y×cos45=13
divide the cos45 by both sides
put 13/cos45 to get y
question 6:
sin30=4/x
multiply x on both sides
end with x×sin30 =4
divide sin30 on both sides
put 4/sin30 in a calculator to get x
same thing again but with tan30 ahaha
"31-inch piece of steel is cut into three pieces"
Call the pieces a,b,c
a + b + c = 31
"second piece is twice as long as the first piece"
b = 2a
"third piece is one inch more than seven times the length of the first piece"
c = 1 + 7a
Ok, we have our equations, let's substitute the second and third into the first.
a + 2a + 1 + 7a = 31
10a + 1 = 31
10a = 30
a = 30/10 = 3
b = 2a = 6
c = 1 + 7a = 22
Check: 3 + 6 + 22 = 31, good
Answer: 3 inches, 6 inches, 22 inches
