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
ad-work [718]
3 years ago
12

ABC has vertices at A(3.2), B(1.4), and C(2.7).

Mathematics
1 answer:
Umnica [9.8K]3 years ago
7 0

Answer:

A = 1,4

B = 2,1

C = -4,-5

Step-by-step explanation:

The 90 degree anticlockwise rotation around the origin (0,0) would over lap the y axis around 1 and due to this the formation would show C point at -4,-5

You might be interested in
A______ is a value, usually in the form of a letter or symbol, that can change or that represents an unknown quantity.
julia-pushkina [17]

Answer:

Variable

Step-by-step explanation:

8 0
3 years ago
The area of a playground is 336 yd2. The width of the playground is 5 yd longer than its length. Find the length and width of th
kondaur [170]
L=16
W=21

Set up a systems of equations: 
x=length 
y=width 

xy=336
x+5=y

Use substitution to solve: 
x(x+5)=336
x^2+5x=336 

Solve using factoring: 
x^2+5x-336=0
(x-16)(x+21)=0
x=16 and x= -21 
Since length can't be negative, l=16 

To find width, plug length into the first equation: 
(16)y=336
y=21 

So...
L=16
<span>W=21</span>
7 0
3 years ago
Read 2 more answers
WILL GIVE BRAINLIEST
podryga [215]

Answer: The lines through the pairs of points are perpendicular.

Step-by-step explanation: The lines when graphed do not have the same slope so they can not be parallel. However, when graphed the points (-3, 5) and (-1, 0) goes through the midpoint of the points (-3,1) and (2,3) meaning that the above points are perpendicular! Hope this makes sense and helps.

3 0
2 years ago
The ​half-life of a radioactive element is 130​ days, but your sample will not be useful to you after​ 80% of the radioactive nu
gtnhenbr [62]

Answer:

We can use the sample about 42 days.

Step-by-step explanation:

Decay Equation:

\frac{dN}{dt}\propto -N

\Rightarrow \frac{dN}{dt} =-\lambda N

\Rightarrow \frac{dN}{N} =-\lambda dt

Integrating both sides

\int \frac{dN}{N} =\int\lambda dt

\Rightarrow ln|N|=-\lambda t+c

When t=0, N=N_0 = initial amount

\Rightarrow ln|N_0|=-\lambda .0+c

\Rightarrow c= ln|N_0|

\therefore ln|N|=-\lambda t+ln|N_0|

\Rightarrow ln|N|-ln|N_0|=-\lambda t

\Rightarrow ln|\frac{N}{N_0}|=-\lambda t.......(1)

                            \frac{N}{N_0}=e^{-\lambda t}.........(2)

Logarithm:

  • ln|\frac mn|= ln|m|-ln|n|
  • ln|ab|=ln|a|+ln|b|
  • ln|e^a|=a
  • ln|a|=b \Rightarrow a=e^b
  • ln|1|=0

130 days is the half-life of the given radioactive element.

For half life,

N=\frac12 N_0,  t=t_\frac12=130 days.

we plug all values in equation (1)

ln|\frac{\frac12N_0}{N_0}|=-\lambda \times 130

\rightarrow ln|\frac{\frac12}{1}|=-\lambda \times 130

\rightarrow ln|1|-ln|2|-ln|1|=-\lambda \times 130

\rightarrow -ln|2|=-\lambda \times 130

\rightarrow \lambda= \frac{-ln|2|}{-130}

\rightarrow \lambda= \frac{ln|2|}{130}

We need to find the time when the sample remains 80% of its original.

N=\frac{80}{100}N_0

\therefore ln|{\frac{\frac {80}{100}N_0}{N_0}|=-\frac{ln2}{130}t

\Rightarrow ln|{{\frac {80}{100}|=-\frac{ln2}{130}t

\Rightarrow ln|{{ {80}|-ln|{100}|=-\frac{ln2}{130}t

\Rightarrow t=\frac{ln|80|-ln|100|}{-\frac{ln|2|}{130}}

\Rightarrow t=\frac{(ln|80|-ln|100|)\times 130}{-{ln|2|}}

\Rightarrow t\approx 42

We can use the sample about 42 days.

7 0
3 years ago
The expression below is a sum of cubes.<br> 216x3 +64<br> true or false?
zepelin [54]

Since 216 is the cube of 6, 64 is the cube of 4 and x^3 is the cube of x, we have

216x^3 + 64= (6x)^3+4^3

so the expression is the sum of the cubes of 6x and 4

5 0
2 years ago
Other questions:
  • Phineas is the lead research scientist in a lab and responsible for ordering supplies and equipment. The lab is out of petri dis
    5·2 answers
  • Somebody help me out
    10·1 answer
  • Please could you show me how to work this out?
    5·1 answer
  • How is $21,343,845 written in words
    11·2 answers
  • 16+x=-34<br><br> Solve the equation for the value of the variable show all work helpppp:)
    8·1 answer
  • Pls help this is due by midnight
    7·2 answers
  • In 2001, the world population 6.5 billion and was increasing at a rate of 1.2% each year.
    7·1 answer
  • Use the following number line to determine if the expressions are true or false.
    5·1 answer
  • Use the four-step definition of the derivative to find f'(x) if f(x) = −4x^3 −1.
    7·1 answer
  • Michael's bike uses 3 litres of fuel for
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!