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frozen [14]
3 years ago
9

The area of a rectangular rug is given by the trinomial r^2 - 8r - 33. What are the possible dimensions of the​ rug? Use factori

ng.
Mathematics
1 answer:
Arte-miy333 [17]3 years ago
5 0
Solve for r using factoring:
Solve for r:
r^2 - 8 r - 33 = 0


The left hand side factors into a product with two terms:
(r - 11) (r + 3) = 0

Split into two equations:
r - 11 = 0 or r + 3 = 0

Add 11 to both sides:
r = 11 or r + 3 = 0

Subtract 3 from both sides:
Answer:  r = 11 or r = -3
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oksano4ka [1.4K]
Slope = -4/5

to calculate the slope m use the gradient form

m = y2 -y1
————
x2 - x1


let (x1, y1) = (3,1) and (x2, y2) = (-2, 5)


m = 5 - 1 4
———- = ——-
-2 - 3 -5


= - 4/5
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3 years ago
It has been estimated that 1000 curies of a radioactive substance introduced at a point on the surface of the open sea would spr
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3 years ago
What is x equal to in the problem 10+3(x+2)=36? Please show your work.
scZoUnD [109]

Answer:

x = 6 2/3

Step-by-step explanation:

10+3(x+2)=36

10+3x+6=36           Solve inside the parenthesis.

16+3x=36               Combine like terms.

-16       -16                Subtract 16 from both sides.

3x/3=20/3                Divide both sides by 3.

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5 0
3 years ago
Read 2 more answers
Using Euler’s formula, how many edges does a polyhedron with 20 faces and 12 vertices have?
astra-53 [7]

Euler's formula for a polyhedron is given by:

\begin{gathered} F+V=E+2 \\ \text{where,} \\ F=\text{faces} \\ V=\text{vertices} \\ E=\text{edges} \end{gathered}

Make E, the subject of the formula:

\begin{gathered} F+V=E+2 \\ E=F+V-2 \end{gathered}

Put F = 20, V = 12, to obtain E,

\begin{gathered} E=20+12-2 \\ E=30 \end{gathered}

Therefore, there are 30 edges

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1 year ago
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gregori [183]

Assuming that an exponentiation sign is missing, all you need to know is that rational exponents work like this:

a^{\frac{b}{c}}=\sqrt[c]{a^b}

So, you have

25^{\frac{5}{2}}=\sqrt{25^5}=\sqrt{(5^2)^5}=5^5

And similarly,

81^{\frac{7}{4}}=\sqrt[4]{25^7}=\sqrt[4]{(3^4)^7}=3^7

5 0
3 years ago
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