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mario62 [17]
3 years ago
12

A pencil holder shaped like a triangular prism is shown in the picture. The height of the pencil holder is 12 cm, and the volume

of the pencil holder is 216 ㎤.
What is the area of the base
of the pencil holder in
square centimeters?
Mathematics
2 answers:
Anon25 [30]3 years ago
4 0

Answer:

18 cm

Step-by-step explanation:

algol133 years ago
3 0

Answer:

18cm

Step-by-step explanation:

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Find the equation of all tangent lines having slope of -1 that are tangent to the curve y=(9)/(x+1)
fredd [130]

Answer:

f(x)=\frac9{x+1}\\ f'(x)=-\frac9{(x+1)^2}\\ f'(x)=-1\ \iff\ -\frac9{(x+1)^2}=-1\ \to \ \frac9{(x+1)^2}=1\ \to \ (x+1)^2=9\\ |x+1|=3\ \to \ x+1=3\ \vee\ x+1=-3\\ x_1=2\ \vee\ x_2=-4\\ f(x_1)=f(2)=\frac9{2+1}=3\\ f(x_2)=f(-4)=\frac9{-4+1}=-3

First tangent line:

y=f'(x_1)\cdot (x-x_1)+f(x_1)\ \to \ y=-1(x-2)+3\ \to \ y=-x+5

Second tangent line:

y=f'(x_2)\cdot (x-x_2)+f(x_2)\ \to \ y=-1(x+4)-3\ \to \ y=-x-7


Notice: slope of -1 means that both f'(x_1), \ f'(x_2) are equal to -1, so f'(x_1)=-1 \ and \ f'(x_2)=-1


6 0
3 years ago
Read 2 more answers
The weights (in pounds) of 30 preschool children are listed below. which weights are below the 25th percentile? 25 25 26 26.5 27
Leto [7]

from the first 35 through 25

6 0
3 years ago
A painter charges $35 per hour for labor plus $40 for a ladder rental when he paints a house. The customer provides the paint. T
zhenek [66]


the answer is not there.  first you take 950.00 and back out (subtract) the 40 dollar fee for a ladder rental which leaves 910.00  then divide the 910 by 35/hr and you get 26 hrs.


6 0
3 years ago
Help me Find the answer, Here's the question!
Gelneren [198K]
Because the answers are all in standard form, we can simply look for the intercepts of the graph.

x-int = (-6, 0)
y-int = (0, -2)

You must multiply these numbers by a coefficient to equal 12:

-6y = 12
-2x = 12

Solve both equations by dividing by their values:

y = -2
x = -6

Look for the answer with these coefficients. The answer is -6x - 2y = 12.


6 0
3 years ago
!!!URGENT!!!
zloy xaker [14]

To answer your question, it is shown in the graph below.

y=-3x-6 is parallel to y=-3x-2

8 0
4 years ago
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