Zack wants his rectangular garden to be 8 feet longer than it is wide and for its area to be less than or equal to 660 ft2. What are the possible values for the length of his garden in feet (x)?

L≤30ft

Step-by-step explanation:

The area of the garden A = Length(L)*Width(W)

If Zack wants his rectangular garden to be 8 feet longer than it is wide, then

L = 8+W

Also, if he wants the area to be less than or equal to 660 ft², the A ≤ 660

LW≤660 1

(8+W)W ≤ 660

W²+8W-660≤0

W²+30W-22W-660≤0

W(W+30)-22(W+30)≤0

(W-22)(W+30)≤0

W-22≤0

W≤22 (neglecting the positive value)

Substituting W = 22 into equation 1

22L≤660

L≤660/22

L≤30

Hence the possible values for the length of his garden in feet are values less than and equal to 30 feet.

the system of inequity is

step-by-step explanation:

from the given graph it is noticed that we have two related lines. one is solid and another is dashed.

if a line passing through two points, then the equation of line is

the solid line passing through the points (0,4) and (4,0).

the related equation of solid line is .

similarly, find the related equation of dashed line. the dashed liune passing through the points (0,0) and (3,1).

the related equation of dashed line is

from the given graph it is noticed that the point (0,1) lies on the shaded region, therefore the point (0,1) must be satisfied by the related equations.

check the related equations by the point (0,1).

this statement is true if the sign of inequality is < instead of equality. since it is an solid line therefore the sign of inequality will be . the required inequality is

similarly, check the second related equation.

it is a dashed line, so this statement is true if the sign of inequality is > . the required inequality is

60°

step-by-step explanation:

the measure angle of c in an isosceles triangle abc is 60° because in isosceles triangle,the measures of all the angles is 60°.