Given
base=2x+6
height=x+4
and
area=56 square units
56=1/2 times (2x+6) times (x+4)
times bot sides by 2
112=(2x+6)(x+4)
expand
112=2x²+14x+24
divide both sides by 2
56=x²+7x+12
minus 56 both sides
0=x²+7x-44
factor
waht 2 numbers mulitply to get -44 and add to get 7
11 and -4
0=(x-4)(x+11)
set to 0
x-4=0
x=4
x+11=0
x=-11
false, measures can't be negative
x=4
height=x+4
height=4+4=8
base=2x+6
base=2(4)+6=8+6=14
x=4 and base=14 and height=8
Answer:
10 units
Step-by-step explanation:
To find the length we can use the formula
d = sqrt( (y2-y1)^2 + (x2-x1)^2)
We have the two points (-5,5) and (3,-1)
d = sqrt( (-1-5)^2 + (3--5)^2)
d = sqrt( (-6)^2 + (3+5)^2)
d = sqrt( (-6)^2 + (8)^2)
d = sqrt( 36 + 64)
d = sqrt(100)
d = 10
For the answer to the question above asking, how much gas will you have to buy i<span>f you drive 50 miles each week and your car gets 25 miles to the gallon with gas costing $4.00 per gallon?
</span>The car will use 2 gallons of gas per week at $4 per gallon so you will have to buy $8 per week.
i hope my answer helped you.
Answer:
2
Step-by-step explanation:
the column (x) the numbers go up by 4 every time and the (y) column goes up by 7 every time
<span>trapezoid area = ((sum of the bases) ÷ 2) • height
height = </span>trapezoid area / ((sum of the bases) ÷ 2)
height = 43.5 / ((6 + 8.5) / 2)
height = 43.5 / ((14.5) / 2)
height = 43.5 / (7.5)
height = 6 centimeters
Source:
http://www.1728.org/quadtrap.htm
