Andrea is 4 inches taller than Pierre. If their combined heights total 152 inches, how tall is Andrea and Pierre? Write a let statement(s) and set up the equation. then solve.

Okay, so to find this out, we need to place aside 4 inches for Andrea, but we will not add them to her total yet:

Andrea: 0 in

Pierre:   0 in

Total:  (152 - 4 =) 148 in

[set aside: 4 in]

Now that the 4inches are set aside, we just need to divide the Total Height in half, because there are 2 people who are sharing this amount:

148 ÷ 2 = 74

Now that we have the answer for this, we now have Pierre's height:

Andrea: 0

Pierre:  74

Total:    74

[set aside: 4 + 74]

And we then take the Set Aside amount, and make it Andrea's height:

Andrea: 78

Pierre:   74

Total:    152

[set aside: 0]

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step-by-step explanation:

find the magnitude of the trig term  

csc

(

x

)

−

1

by taking the absolute value of the coefficient.

1

find the lower bound of the range.

tap for more

y

=

−

2

find the upper bound of the range.

tap for more

y

=

0

the range is  

y

≤

−

2

or  

y

≥

0

.

(

−

∞

,

−

2

]

∪

[

0

,

∞

)

{

y

|

y

≤

−

2

,

y

≥

0

}

step-by-step explanation: