Answer:
Step-by-step explanation:
when adding logs, apply the log rule: 
∴ 
when subtracting logs, apply the log rule: 
P=2(L+W)
A=LW
given
P=62
62=2(L+W)
divide 2
31=L+W
minus W
L=31-W
sub into other one
A=LW
A=(31-W)(W)
228=31W-W^2
times -1
W^2-31W=-228
add 228 both sides
W^2-31W+228=0
factor
what 2 numbers multiply to get 228 and add to get -31
-19 and -12
(W-19)(W-12)=0
set to zero
W-19=0
W=19
W-12=0
W=12
sub back
L=31-W
L=31-12
L=19
or
L=31-19
L=12
the doorway is 12in by 19in
Answer: (0, -3/7)
Step-by-step explanation:
The Y-intercept would be the value of y when x is at 0, which is when the Y axis is intercepted. -3/7 is the starting position of the function when the the X = 0.
Let x be the number.
"twelve decreased by twice a number" ---> 12 - 2x
"8 times the sum of number and 4" ---> 8(x + 4)
12 - 2x = 8(x + 4)
12 - 2x = 8x + 32 (distributive property)
12 = 10x + 32 (add 2x to both sides)
-20 = 10x (subtract 32 from both sides)
x = -2 (divide both sides by 10)
Answer:
Step-by-step explanation:
<em>m∠</em>2 and <em>m∠</em>1 are congruent by the Corresponding Angles Theorem; we set both expressions equal to each other:
[80 - x]° = [90 - 2x]°
+ x° + x°
______________
80° = [90 - x]°
-90° - 90°
__________
−10° = [−x]°
I am joyous to assist you anytime.
