D=sqrt[(x1-x2)^2+(y2-y1)^2]
(0,10) x1=0 y1=10 and (-9,1) x2=-9 y2=1
now d=sqrt[(-9-0)^2+(1-10)^2]=12.72792206 units
Answer:
x=1,13
Step-by-step explanation:
(x – 7)^2 = 36
Take the square root of each side
sqrt((x – 7)^2) = sqrt(36)
x-7 = ±6
x-7 = 6 x-7 =-6
Add 7 to all sides
x-7+7 = 6+7 x-7+7 = -6+7
x = 13 x=1
The side lengths are 2 units and 4 units. Do you need work?
Answer:
A
Step-by-step explanation:
Sum the product of the components in the first row of A with the corresponding components of the first column in B
Repeat this with the components in the second row of A with the corresponding components of the second column in B, that is
AB
= ![\left[\begin{array}{ccc}2&1\\3&4\\\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D2%261%5C%5C3%264%5C%5C%5Cend%7Barray%7D%5Cright%5D)
![\left[\begin{array}{ccc}3&1\\5&2\\\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D3%261%5C%5C5%262%5C%5C%5Cend%7Barray%7D%5Cright%5D)
= ![\left[\begin{array}{ccc}2(3)+1(5)&2(1)+1(2)\\3(3)+4(5)&3(1)+4(2)\\\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D2%283%29%2B1%285%29%262%281%29%2B1%282%29%5C%5C3%283%29%2B4%285%29%263%281%29%2B4%282%29%5C%5C%5Cend%7Barray%7D%5Cright%5D)
= ![\left[\begin{array}{ccc}6+5&2+2\\9+20&3+8\\\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D6%2B5%262%2B2%5C%5C9%2B20%263%2B8%5C%5C%5Cend%7Barray%7D%5Cright%5D)
= ![\left[\begin{array}{ccc}11&4\\29&11\\\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D11%264%5C%5C29%2611%5C%5C%5Cend%7Barray%7D%5Cright%5D)
→ A
Answer: 97% growth rate.
Step-by-step explanation:
Hi, to answer this question we have to analyze exponential function:
A = P (1 + r) t
Where:
p = initial value
r = growth or decay rate (decimal form)
t= number of time intervals
A = value after t intervals
Replacing with the values given:
y=3400(1.97)^x
Where the term 1.97 = 1 + r
Solving for r:
1.97-1 = r
0.97 =r
Since the rate is positive, it is a growth rate.
To determine the percentage we have to multiply it by 100
0.97 x 100 = 97%
Feel free to ask for more if needed or if you did not understand something.
