Point slope equation:
y-y1=m(x-x1)
m=slope
So we simply plug in our given information:
x1=-8
y1=2
m=1/2
y-2=1/2(x-(-8)
2 minus signs next to each other make a positive
Final answer:
y-2=1/2(x+8)
Answer:
<em>y=-6</em>
Step-by-step explanation:
<em>Geometric Sequences</em>
Any given sequence is said to be geometric if each term
can be obtained as the previous term
by a constant value called the common ratio.

or equivalently

Looking closely at the sequence 2, y, 18,-54, 162 we can try to find out if it's a geometric sequence or not. We compute the possible common ratios
and we see they both result -3. If we use r=-3 and try to find the second term (y), then
y=2*(-3)=-6
Now we compute the third term: (-6)(-3)=18
Since we got the third term as given in the original sequence.
So y=-6
Answer:

Step-by-step explanation:
see the attached figure with letters to better understand the problem
Let
a ----> the height of rectangle in mm
b ---> the base of rectangle in mm
step 1
Find the base of rectangle
----> by segment addition postulate
substitute

step 2
Find the height of rectangle
---> by segment addition postulate
substitute the given values

Find the length sides CG
Applying the Pythagorean Theorem

substitute the given values



simplify

therefore

step 3
Find the area of rectangle

we have


substitute

Answer:
4096
Step-by-step explanation: