Answer: M(5,2)
Step-by-step explanation:We use the midpoint rule:
We just have to find the arithmetic mean of the x and y-coordinates.
The endpoints of CD are given as C(3,−5) and D(7, 9).
We substitute these values to get:
Therefore the coordinates of the midpoint M of CD are (5,2) and if i'm not good at explaining here ya go :)
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Answer:
5.1
Step-by-step explanation:
Compounded Annually:
A=P(1+r)^t
A=P(1+r)
t
A=27200\hspace{35px}P=20000\hspace{35px}r=0.062
A=27200P=20000r=0.062
Given values
27200=
27200=
\,\,20000(1+0.062)^{t}
20000(1+0.062)
t
Plug in values
27200=
27200=
\,\,20000(1.062)^{t}
20000(1.062)
t
Add
\frac{27200}{20000}=
20000
27200
=
\,\,\frac{20000(1.062)^{t}}{20000}
20000
20000(1.062)
t
Divide by 20000
1.36=
1.36=
\,\,1.062^t
1.062
t
\log\left(1.36\right)=
log(1.36)=
\,\,\log\left(1.062^t\right)
log(1.062
t
)
Take the log of both sides
\log\left(1.36\right)=
log(1.36)=
\,\,t\log\left(1.062\right)
tlog(1.062)
Bring exponent to the front
\frac{\log\left(1.36\right)}{\log\left(1.062\right)}=
log(1.062)
log(1.36)
=
\,\,\frac{t\log\left(1.062\right)}{\log\left(1.062\right)}
log(1.062)
tlog(1.062)
Divide both sides by log(1.062)
5.1116317=
5.1116317=
\,\,t
t
Use calculator
t\approx
t≈
\,\,5.1
5.1
Answer:
see below
Step-by-step explanation:
The leading minus sign tells you the graph opens downward. (x-3) in the squared term tells you the x-coordinate of the vertex is x=3. The graph that matches these characteristics is shown below.
Answer:
10/4 <em>per</em> day (2.5 words simplified)
10/3 <em>days </em>he wrote so far (around 3 days simplified)
so in order to find out how much he wrote in total multiply the two numbers together
2.5 x 3 = around 7.5 or 8 words
Answer:
y=1
Step-by-step explanation:
6=2(y+2) distribute your first 2 outside of the (_)
6= 2y+4 then subtract 4 from both sides
Then you will have 2= 2y divide both sides by the 2 from 2y
After you have 1=y
Plug the new y value back in and you will have
2(1+2)= (_) always goes first so you will have 3
2(3) when you have a number beside of a (_) you multiple and receive the answer that this equals 6 to check yourself
