Answer:
H
Step-by-step explanation:
use slope of -2/3 and point (-4.5, 10) as input into the slope-intercept form of a line, which is y = mx + b
10 = -2/3(-9/2) + b
10 = 3 + b
7 = b
y = -2/3x + 7
X = approximately 633
Steps:
lnx + ln3x = 14
ln3x^2 = 14 : Use the log property of addition which is to multiply same log together so you multiply x and 3x because they have log in common
(ln3x^2) = (14) : take base of e on both sides to get rid of the log
e e
3x^2 = e^14 : e cancels out log on the left side and the right side is e^14
x^2 = e^14 / 3 : divide both sides by 3
√x^2 = <span>√(e^14 / 3) : take square root on both sides to get rid of the square 2 on x
</span>
x = √(e^14) / <span>√3 : square root cancels out square 2 leaving x by itself
x = e^7 / </span>√3 : simplify the √(e^14) so 14 (e^14) divide by 2 (square root) = 7<span>
x = </span>633.141449221 : solve
Answer:
see explanation
Step-by-step explanation:
Since K is at the midpoint of HN then HK = KN = 4x + 5, thus
HN = HK + KN ← substitute values
11x - 11 = 4x + 5 + 4x + 5, that is
11x - 11 = 8x + 10 ( subtract 8x from both sides )
3x - 11 = 10 ( add 11 to both sides )
3x = 21 ( divide both sides by 3 )
x = 7
Hence
KN = 4x + 5 = (4 × 7) + 5 = 28 + 5 = 33
Answer:
C. 14 inches
Step-by-step explanation:
The perimeter is double the sum of length and width:
P = 2((4a +3) +(6b -2) = 8a +12b +2
For the given values, this is ...
P = 8(0.75) +12(0.50) +2 = 6 + 6 + 2 = 14
The perimeter is 14 inches.
Find x
5x-17 = 3x + 1
5x -3x = 17 + 1
2x = 18
2x/2 = 18/2
X = 9
Find the measure of FG
mFG = 5x - 17
mFG = 5(9) - 17
mFG = 45-17
mFG = 28
