Answer:
2(2n - 1)
Step-by-step explanation:
Let x = the number of books Theo has read
Then 4x = four times the number of books Theo has read.
And 4n - 2 = 2 less than four times the number of books Theo has read
But 4n -2 = the number of books Maya has read
Factor the expression
4n - 2 = 2(2n - 1)
The factored expression is 2(2n - 1).
f(x) + n - move the graph n units up
f(x) - n - move the graph n units down
f(x + n) - move the graph n units to the left
f(x - n) - move the graph n units to the right
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<h3>B. Moved 2 units up and 5 units to the left.</h3>
W= width
l= length= 2w-3
Area= length * width
A= lw
substitute l=2w-3 for l
54= (2w-3)(w)
54= 2w^2 - 3w
subtract 54 from both sides
0= 2w^2 - 3w - 54
factor the polynomial
0= (2w + 9)(w - 6)
Set each set of parentheses equal
to 0 and solve for width.
0=2w+9
-9=2w
-4.5= w NEGATIVE VALUE
0=w-6
6 cm=w
-4.5 is not the answer because it has a negative value. You cannot have a negative side of a photograph. So substitute 6 in to find length.
length= 2w-3
l= 2(6)-3
l= 12-3
l= 9 cm
CHECK:
w= 6cm
l= 9cm
Area= length * width
54= 6*9
54= 54
ANSWER: width= 6cm; length= 9cm
Hope this helps! :)
In both models, for every 2 yellow squares there is one white square so 2/3 is equal to 8/12
Answer:
456 sq. units
Step-by-step explanation:
Formula for the area of the square:
b(base)*h(height)
b=21
h=16
21*16=336
Formula for the area of the triangle:
b*h/2
b=36-21=15
h=16
15*16/2=120
Add the two shaped together:
336+120=456
Label your answer: 456 sq. units
