Answer:
slope = 1 , y- intercept = - 5
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y-intercept )
y = x - 5 is in this form
with slope m = 1 and y- intercept c = - 5
Answer:
156 cm3
If the length is 8cm and the base is 13cm and the prism height is 3cm
Answer:
The probability of choosing a professor or an instructor is 47.22%.
Step-by-step explanation:
Given that the mathematics faculty at a college consists of 11 professors, 12 associate professors, 7 assistant professors, and 6 instructors, if a faculty member is selected, to find the probability of choosing a professor or an instructor the following calculation must be performed:
11 + 12 + 7 + 6 = 100
11 + 6 = X
36 = 100
17 = X
17 x 100/36 = X
1700/36 = X
47.22 = X
The probability of choosing a professor or an instructor is 47.22%.
Answer:
The distance from the star to the second checkpoint is 4 miles
Step-by-step explanation:
The complete question in the attached figure
we know that
When you get to the second checkpoint, you are 1/4 of the distance to the finish
so
The distance from the star to the second checkpoint is equal to the total distance multiplied by 1/4
The total distance is 40 miles ( see the attached figure)
so
The distance from the star to the second checkpoint is

<em>Find out the distance from the start to the first checkpoint</em>
Multiply the distance from the star to the second checkpoint by 2/5
Answer:
m<S' = 115
Step-by-step explanation:
A translation is when one shifts the image over on a coordinate plane. A translation doesn't affect the image itself. Hence m<S is the same as m<S'. Therefore m<S' = 115