Answer:
b=−1/14ot+2
Step-by-step explanation:
Let's solve for b.
to−8+5b=−6+26−9b
Step 1: Add 9b to both sides.
ot+5b−8+9b=−9b+20+9b
ot+14b−8=20
Step 2: Add -ot to both sides.
ot+14b−8+−ot=20+−ot
14b−8=−ot+20
Step 3: Add 8 to both sides.
14b−8+8=−ot+20+8
14b=−ot+28
Step 4: Divide both sides by 14.
14b
14
=
−ot+28
14
b=
−1
14
ot+2
Answer:
Width is 12 inches and height is 4 inches.
Step-by-step explanation:
Let the width of the piece of cardboard be = w inches
Then length is = 
inches
As given, 4 inch squares are cut from each corner;
So, the width is = 
inches
Length is = 
inches
When we are folding the cut portion, that gives the height as = 4 inches
The volume is given by : length x width x height
And volume is given as 256 cubic inches
So, 
=> 
=> 
=> 
or 
=> 
=> 
We get , 
; w = -8(neglect the negative value)
; w = 12 inches
And length = 
inches
Hence, dimensions are : L = 24 inches ; w = 12 inches and h = 4 inches
We can check by putting these values in equation :
=> 
=> 
Answer:
a = 133 degrees
b = 78 degrees
Step-by-step explanation:
the top and bottom lines are parallel.
the two sidelines are lines that intercept the top and bottom lines.
as they intercept parallel lines, they actually must have the same angles with them.
so, the 47 degrees inner angle at the bottom line, must be also somewhere at the interception point with the top line. and right, it must be now mirrored the outward angle at the top line. and that means a (the inward angle at the top line) is also the outward angle at the bottom line.
the sum of inward and outward angles at a point must always be 180 degrees.
so, the outward angle of 47 = the inward angle a =
= 180 - 47 = 133 degrees.
similar in the other side.
102 is the inward angle.
the outward angle of that is 180 - 102 = 78 degrees.
and that is also the inward angle b.
b = 78 degrees
Answer:
(a) {-3, 2}
(b) {3, 4}
Step-by-step explanation:
The high points are (-3, 3) and (2, 4).
The x-values at which the function has a local maximum are {-3, 2}.
The local maximum values are {3, 4}.
_____
Your answer box probably doesn't want the curly brackets and maybe not the spaces, either. Those brackets are used to identify a <em>set</em> of values.
X = larger number, y = smaller number
x = y + 12
x + y = 74
y + 12 + y = 74
2y + 12 = 74
2y = 74 - 12
2y = 62
y = 62/2
y = 31
x = y + 12
x = 31 + 12
x = 43
so ur 2 numbers are : 43 and 31
