Answer:
length = 12 feet and width = 8 feet
Step-by-step explanation:
since the area = 96 ft² then
(x + 1)(x - 3) = 96 ( A = lw )
expand the factors on the left side
x² - 2x - 3 = 96 ( subtract 96 from both sides )
x² - 2x - 99 = 0 ← in standard form
(x - 11)(x + 9) = 0 ← in factored form
equate each factor to zero and solve for x
x - 11 = 0 ⇒ x = 11
x + 9 = 0 ⇒ x = - 9
but x > 0 ⇒ x = 11
length = 11 + 1 = 12 feet and width = 11 - 3 = 8 feet
Answer:
she is broke
Step-by-step explanation:
she has to work to make money.
Answer:
18 weeks
Step-by-step explanation:
Total amount of money saved up to buy the printer is T(w), where w is the number of weeks.
Then T(w) = $100 + ($20/wk)w
Setting this equal to $460, we solve the resulting equation for w to determine the number of weeks it took Hugo to save up $460 total:
$460 = $100 + ($20/wk)w, or
$360 = ($20/wk)w, or
w = $360/($20/wk) = 18 weeks
Rectangular and polar forms are two forms of equations that translates to plot. In this case, the two forms are convertible to each other by the expressions:
r sin theta = y
r cos theta = x
x2 + y2 = r2
we are given the polar expression r csc theta = 8 and is asked to convert to rectangular form.
in this case, csc theta is equal to 1/ sin theta. thys
r / sin theta = 8
in order to make use of the equations above, then
we multiply r to both numerator and denominator in the left side, that is
r^2 / r sin theta = 8
x2+y2 / y = 8
x 2 + y2 = 8y
