9 What dimensions do we need a rectangular lot to be in order to get an area of
2700 metres squared and for the length to
be 60 metres longer than the width?

W=30m L=90m

Step-by-step explanation:

A =2,700 m²

L=W+60

we know that area of a rectangle is A=L*W so we sustitute what we know

A=L*W

2,700 = (W+60)*W distribute

2,700 = W² +60W subtract 2,700 from both sides

W²+60W-2,700 =0

solve the quadratic equation with quadratic formula or on the calculator on the graph and will get W= -90 and W=30. Reject the -90 value because we can not have negative measurements. Our solution is W=30

L=A/W=2,700/30=90

answer:

(-8,7)

explanation:

we know that  

f

(

−

3

)

=

7

therefore, if we wish to get the output as 7, in the function, we need to have our input to be -3.

looking at the function  

f

(

x

+

5

)

, what should the value of x be, such that the input in the function becomes 7?

we simply equate the terms,

x

+

5

=

−

3

x

=

−

8

thus, the point on the new function would be  

(

−

8

,

7

)

the sum of the lengths of any two sides of a triangle is greater than the length of the third side. if you take the three sides of a triangle and add them in pairs, the sum is greater than (not equal to) the third side. if that is not true, then it is not possible to construct a triangle with the given side lengths.

step-by-step explanation: