Answer:
y+10 = 2 (x+1)
Step-by-step explanation:
slope = (y2-y1)/(x2-x1)
m = (2--10)/(5--1)
m = (2+10)/(5+1)
m = (12/6)
m=2
point slope form
y-y1 = m(x-x1)
y--10 = m(x--1)
y+10 = 2 (x+1)
Answer: 5%
Step-by-step explanation:
To find the sales tax, find the difference between before and after tax:
0.63 - 0.60 = 0.03
To find the percentage, divide the difference by the cost of the product:
0.03/0.60 = 0.05
Multiply by 100 to find percent sales tax:
0.05 x 100 = 5%
The sum of the given expression expressed as a quadratic equation is 10x^2 + 13x + 11
<h3>Sum of expressions</h3>
Expressions are equations separated by mathematical signs. This expressions are known to contains certain unknowns
Given the following expression
10x^2 +7x+6 and 6x + 5
We are to take the sum of both expression to have:
f(x) = 10x^2 +7x+6 + 6x + 5
Collect the like terms
f(x) = 10x^2 + 7x + 6x + 6 + 5
f(x) = 10x^2 + 13x + 11
Hence the sum of the given expression expressed as a quadratic equation is 10x^2 + 13x + 11
Learn more on sum of functions here: brainly.com/question/11602229
#SPJ1
Imagine a right triangle being made from this line, with segment AB as the hypotenuse. The missing point of the triangle would be on (-4,-5) Lets name the point C
Okay, so since we have a right triangle, we can solve for the length of AB using the pythagorean theorem.
a²+b²=c² where a and b are side lengths and c is the hypotenuse
The distance from A to C is 5units
The distance from B to C is 3 units
Plug in the data that we know
5²+3²=c²
25+9=c²
34=c²
√34=c
5.830=c
round to the nearest hundredth
5.83=c
Answer=5.83 units
Answer: d. 15.49
Step-by-step explanation:
Given : The random variable K has a geometric distribution with mean 16.
Formula for Mean and standard deviation in geometric distribution:
(1)
(2), where p is the probability of success in each trial.
Since 
(Given)
Then from (1) ,
Put value of p in (2),
Hence, the standard deviation of random variable K is closest to 15.49.
Therefore , the correct answer is d. 15.49 .
