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2 years ago

Use the distributive property to write the following expressions in expanded form. e ( f + g )

Mathematics

1 answer:

NemiM [27]2 years ago

4 0

Answer:

ef + eg

Step-by-step explanation:

Distributive Property: a(b +c) = (a*b) + (a*c)

e(f +g) = e*f + e*g

= ef + eg

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2) Simplify (do not worry about trying to show work) 7/8 divided by 4/1

yawa3891 [41]

Answer:

3.5 i hope that help

Step-by-step explanation:

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3 years ago

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Can someone please help me with this question?

madam [21]

D. One reason, The others questions don't add up. Reason being, the perimeter of the garden is 4x+60, all of the other questions don't make up for that answer.
(I also can't read D, so I'm just assuming now.)

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2 years ago

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Draw as many different triangles as possible that have two sides of length 4 cm and a 45° angle. Clearly mark the side lengths a

Basile [38]

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Answer:

The answer is 3!

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2 years ago

Differentiate. y = ln(t)/t²

azamat

Remember

the deritivive of f(x)/g(x)=(f'(x)g(x)-g'(x)f(x))/((g(x))^2)

deritivive of lnx is 1/x
derivitive of t^2=2t

so

$\frac{(1/t)t^2-2tlnt}{(t^2)^2}$ =
$\frac{t-2tlnt}{t^4}$ =
$\frac{1-2ln(t)}{t^3}$

6 0

3 years ago

The altitude (i.e., height) of a triangle is increasing at a rate of 2 cm/minute while the area of the triangle is increasing at

aksik [14]

The formula for the area of a triangle is
$A=\frac{1}{2}bh$
$\rightarrow\frac{dA}{dt}=\frac{1}{2}(b\frac{dh}{dt}+h\frac{db}{dt})$

We are given:
$\frac{dh}{dt}=2$
$\frac{dA}{dt}=4.5$
$h=9.5$
$A=92$

Plug in:
$4.5=\frac{1}{2}(b*2+9.5\frac{db}{dt})$
We can find $b$ with:
$A=\frac{1}{2}bh\rightarrowb=\frac{2A}{h}=\frac{2*92}{9.5}=\frac{184}{9.5}$
So $4.5=\frac{1}{2}(2*\frac{184}{9.5}+9.5\frac{db}{dt})$
$\rightarrow9=\frac{368}{9.5}+9.5\frac{db}{dt}$
$\rightarrow9-\frac{368}{9.5}=9.5\frac{db}{dt}$
$\rightarrow\frac{db}{dt}=\frac{9-\frac{368}{9.5}}{9.5}\approx-3.130$

So the base is decreasing at a rate of 3.130 cm/minute.

6 0

2 years ago