Answer:
11.2 units
Step-by-step explanation:
From (-7, -7) to (-2, 3) is 5 units horizontally and 10 units vertically. Thus we have a right triangle with sides 5 and 10 respectively. The length of the hypotenuse of this triangle is the distance between (-2, 3) & (-7, -7):
d = √(5² + 10²) = √(25 + 100) = √125 = √25√5, or 5√5.
This is approximately 11.2 units
Answer:
We can define a horizontal dilation/contraction of scale factor A, as:
g(x) = f(x*A)
if A > 1, this will be a contraction (it will be steeper)
if 0 < A < 1, this will be a dilation. (it will be less steep)
Then if we have:
g(x) = f(6*x) we have a contraction of scale factor 6, this means that the graph of the parent function will be contracted.
Below, you can see how the graphs change, where:
Blue is f(x) =x
green is g(x) = f(6*x) = 6*x
There are 3 toppings, the probability of picking pepperoni is 1/3.
There are 2 sizes, the probability of choosing a large would be 1/2.
The probability of picking both would be 1/3 x 1/2 = 1/6
The answer would be D. 1/6
The answer to the last drop down as far as i remember from last year is .100
Please tell me if im correct
And have a fantastic day hehe!
Answer:
y = x + 5
Step-by-step explanation:
1) First, find the slope of the line 
. We can do this by setting it up in slope-intercept form, represented by the equation 
. Whatever 
or the coefficient of the x-term is will be the slope. Isolate y in the equation:
So, the slope of the given equation is 1. Parallel lines share the same slope, thus the slope of the new line will be 1 as well.
2) Now, use the point-slope formula 
to write the equation of the line in point-slope form. Substitute values for , 
, and 
in the formula.
Since is the slope, substitute 1 for it. Since and represent the x and y values of one point the line passes through, substitute the x and y values of (-6, -1) into those places as well. Then, isolate y in the resulting equation to put the equation in slope-intercept form and find the answer:
