1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
dlinn [17]
3 years ago
6

Factor 10c^2-60cd +80d^2

Mathematics
1 answer:
ozzi3 years ago
5 0
10c^2-60cd +80d^2

(2c - 8d) (5c -10d)

this  \\ is \\ because...

2c*5c=10c^2

2c * -10d=-20cd \\ -8d*5c=-40cd \\ -20cd-40cd=-60cd

-8d * -10d = 80d
You might be interested in
An ice cream factory makes 68.8 quarts of ice cream
yaroslaw [1]
ANSWER: 68.8 quarts is 19.7 gallons

Is that what you were asking? :)
6 0
2 years ago
△MAH∼△WCF . What is the value of x?
spayn [35]
Are there any choices that i can help with to solve the work problem
8 0
2 years ago
Read 2 more answers
Find the remaining trigonometric ratios of θ if csc(θ) = -6 and cos(θ) is positive
VikaD [51]
Now, the cosecant of θ is -6, or namely -6/1.

however, the cosecant is really the hypotenuse/opposite, but the hypotenuse is never negative, since is just a distance unit from the center of the circle, so in the fraction -6/1, the negative must be the 1, or 6/-1 then.

we know the cosine is positive, and we know the opposite side is -1, or negative, the only happens in the IV quadrant, so θ is in the IV quadrant, now

\bf csc(\theta)=-6\implies csc(\theta)=\cfrac{\stackrel{hypotenuse}{6}}{\stackrel{opposite}{-1}}\impliedby \textit{let's find the \underline{adjacent side}}
\\\\\\
\textit{using the pythagorean theorem}\\\\
c^2=a^2+b^2\implies \pm\sqrt{c^2-b^2}=a
\qquad 
\begin{cases}
c=hypotenuse\\
a=adjacent\\
b=opposite\\
\end{cases}
\\\\\\
\pm\sqrt{6^2-(-1)^2}=a\implies \pm\sqrt{35}=a\implies \stackrel{IV~quadrant}{+\sqrt{35}=a}

recall that 

\bf sin(\theta)=\cfrac{opposite}{hypotenuse}
\qquad\qquad 
cos(\theta)=\cfrac{adjacent}{hypotenuse}
\\\\\\
% tangent
tan(\theta)=\cfrac{opposite}{adjacent}
\qquad \qquad 
% cotangent
cot(\theta)=\cfrac{adjacent}{opposite}
\\\\\\
% cosecant
csc(\theta)=\cfrac{hypotenuse}{opposite}
\qquad \qquad 
% secant
sec(\theta)=\cfrac{hypotenuse}{adjacent}

therefore, let's just plug that on the remaining ones,

\bf sin(\theta)=\cfrac{-1}{6}
\qquad\qquad 
cos(\theta)=\cfrac{\sqrt{35}}{6}
\\\\\\
% tangent
tan(\theta)=\cfrac{-1}{\sqrt{35}}
\qquad \qquad 
% cotangent
cot(\theta)=\cfrac{\sqrt{35}}{1}
\\\\\\
sec(\theta)=\cfrac{6}{\sqrt{35}}

now, let's rationalize the denominator on tangent and secant,

\bf tan(\theta)=\cfrac{-1}{\sqrt{35}}\implies \cfrac{-1}{\sqrt{35}}\cdot \cfrac{\sqrt{35}}{\sqrt{35}}\implies \cfrac{-\sqrt{35}}{(\sqrt{35})^2}\implies -\cfrac{\sqrt{35}}{35}
\\\\\\
sec(\theta)=\cfrac{6}{\sqrt{35}}\implies \cfrac{6}{\sqrt{35}}\cdot \cfrac{\sqrt{35}}{\sqrt{35}}\implies \cfrac{6\sqrt{35}}{(\sqrt{35})^2}\implies \cfrac{6\sqrt{35}}{35}
3 0
3 years ago
Please help me with this and explain how u did it step by step
joja [24]

The domain of the third piece of the graph is contained in interval <u>B. (12, 20)</u>.

<h3>What is the domain of a graph?</h3>

The domain of a graph consists of all the input values shown on the x-axis.

The input values (domain) are shown on the x-axis, unlike the range, whose output values are shown on the y-axis.

Therefore, the domain comprises the independent variables or values, which can be determined using the function, y = f(x).

Thus, the domain of the third piece of the graph can be determined in interval <u>B. (12, 20)</u>.

Learn more about domain and range at brainly.com/question/10197594 and brainly.com/question/2264373

#SPJ1

6 0
1 year ago
Julie wants to purchase a new home in six years. She thinks that she can purchase a nice home in a good neighborhood for $60,000
MrMuchimi

Answer:

$208.33

Step-by-step explanation:

Julie has to make the down payment which is 25% of $60000 after saving for 6 years.

Therefore, Julie has to save a total of 60000 \times \frac{25}{100} = 15000 dollars.

And Julie has to save it for the duration of 6 years i.e. (6 × 12) = 72 months.

Hence, Julie has to save \frac{15000}{72} = 208.33 dollars every month to make the down payment after 6 years. (Answer)

7 0
3 years ago
Other questions:
  • What is 5 and 4/5 plus 1 and 1/8? Please help. Thx
    5·1 answer
  • Emma is 9 1/4 years old . how many months is Emma please answer
    9·2 answers
  • Levi made 50 phone calls during a charity fund raising drive and received 4 pledges for donations. If he makes 120 calls, about
    7·1 answer
  • Problems that equal 3r12
    11·2 answers
  • Convert y= 2x(x-6)-5 to vertex form.
    7·1 answer
  • Twelve less than a number is the same as 12 times the number increased by 4
    7·1 answer
  • Find the slope of the line on the graph.
    8·1 answer
  • Rectangle ABCD is reflected on a coordinate plane over the x-axis to create
    8·1 answer
  • The sum of 7 and 12x is equal to 67.<br>By constructing an equation, find the value of x.​
    12·2 answers
  • Help please, solve prob in the picture
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!