Answer:
1.107 = r
Step-by-step explanation:
To solve this for r, do the following:
Add 10 to both sides, to isolate the r term on the left: 18r^(-8) = 8
Divide both sides by 18, to isolate r^(-8): r^(-8) = 8/18
Invert both sides: r^8 = 9/4
Take the natural log or both sides:
8 ln r = ln 9 - ln 4, or
8 ln r = 0.8109, so that ln r = 0.1014
to find r, raise e to the power ln r on the left and e to the power 0.1014 on the right:
ln r 0.1014
e = e = 1.107 = r
Answer:
B
Step-by-step explanation:
To go from B' to B , perform the inverse operation
That is the translation rule is (x - 4, y - 5 ) , then
B'(7, - 4 ) → B (7 - 4, - 4 - 5 ) → B (3, - 9 ) → option B
Answer:
9z+11
Step-by-step explanation:
7z+8+2z+3
CLT, or combine like terms.
7z+2z=9z
8+3=11
So the simplified version is 9z+11.
-hope it helps
Answer:
x = 4, y = -4
Step-by-step explanation:
9x + 3y = 24
3x + y = 8 divide both sides by 3
y = 8 - 3x subtract 3x from both sides
2y + 4x = 8
2(8 - 3x) + 4x = 8 replace y with 8 - 3x
16 - 6x + 4x = 8 distributive property
-6x + 4x = 8 - 16 subtract 16 from both sides
-2x = -8 divide both sides by -2
x = 4
y = 8 - 3x
y = 8 - 3(4) replace x with 4
y = 8 - 12
y = -4
Answer:
angle ADC is shown as a 90 degree angle
90 - 22 = 68
so I would go with 68 degrees
