The formula for the area of a trapezoid is A=h(b1+b2). Express b1 in terms of A, h, and b2.

2 answers:

8 0

In order to find b1 from your formula stated we need to do few calculations
A=hb1+hb2, as you wee I multiply h with both bases( b1 and b2)
I will subtract hb2 from both sides
hb1=A-hb2
now I will divide my new expression by h
b1=(A-hb2)/h

vivado [14]3 years ago

4 0

Solve like a regular algebraic expression A= h(b1+b2) divide both sides by h A/h= b1+b2 subtract b2 from both sides A/h-b2= b1 b1= A/h-b2 hope this helps

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A rectangular pool has dimensions of 40 ft. and 60 ft. The pool has a patio area around it that is the same width on all sides.

drek231 [11]

The complete question in the attached figure

let
x-------> <span>the width of the patio

we know that
area of the pool=40*60-----> 2400 ft</span>²

area of the patio=[(40+2x)*(60+2x)]-2400
area of the patio=2400 ft²
so
[(40+2x)*(60+2x)]-2400=2400
2400+80x+120x+4x²-4800=0
4x²+200x-2400=0------> divide by 4 both sides----> x²+50x-600=0

therefore
the answer is
x²+50x-600=0

3 0

3 years ago

Read 2 more answers

The volume (in cubic meters), vvv, of a rectangular prism is given by the expression: v = a^4-2a^2b^2+b^4v=a 4 −2a 2 b 2 +b 4 v,

zhannawk [14.2K]

Answer:

${a}^{2} - {b}^{2}$

$a - b$

$a + b$

Step-by-step explanation:

The given expression that represents the volume of the rectangular prism is:

$v = {a}^{4} - 2 {a}^{2} {b}^{2} + {b}^{4}$

We can rewrite this to reveal a perfect square pattern.

$v =( { {a}^{2}) }^{2} - 2 {a}^{2} {b}^{2} + ( {b}^{2})^{2}$

We factor using perfect squares to obtain:

$v = ( {a}^{2} - {b}^{2} )^{2}$

$v = ( {a}^{2} - {b}^{2} )( {a}^{2} - {b}^{2} )$

Volume is three dimensional so we need a third factor different from 1.

We further factor one of the difference of two squares to get:

$v = ( {a}^{2} - {b}^{2})(a - b)(a + b)$

So pick the following unique dimensions from the possible answers:

${a}^{2} - {b}^{2}$

$a - b$

$a + b$

6 0

3 years ago

9x-2y=-21 2x+3y=16 Substitution

hjlf

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