Answer:
<u>Slope = 3</u>
Step-by-step explanation:
The slope is the Rise/Run
Given the two points (-1,-4) and (2,5) we can calculate both the Rise and the Run:
Rise = (5 - (-4)) = 9
Run = (2 - (-1)) = 3
Slope is Rise/Run
(9/30) = 3
It is the "m" in y = mx + b
The actual equation is y = 3x + 1. Use one of the 2 points and solve for b to find that it equals -1.
y = 3x - 1 for (2,5)
5 = 3(2) - 1 ?
5 = 5 Yes
A scale of 1:40 can be read as "one cm on the model corresponds to 40 cm in the original object". or
"one inch on the model corresponds to 40 inches
this means that the 2 inches correspond to 2 times 40, that is 80 inches and 1.5 corresponds to 1.5*40=60 inches
which means that the original painting has dimensions of 80 by 60 inches.
b) Area = 80 cm * 60 cm = 4,800 cm²
c) 80 cm * 1 inch / 2.54 cm = 31.50 inches ;
60 cm * 1 inch/2.54 cm = 23.60 inches
d) Area = 31.50 in * 23.60 in = 743.40 inches²
Answer:
d) the slope of f(x) is greater than the slope of g(x)
Step-by-step explanation:
to find the slope of an equation, you look at its rise/run. for f(x), you can see that from one point (0, 3) to another (1, 1) it goes down 2 values (3 - 1) and over 1 value (0 + 1). because it goes down 2 values, the rise is -2, and because it moves to the side 1 value positively, the run is +1.
-2/+1 = -2. this means the slope of f(x) = -2.
finally, it says the slope of g(x) = -6, and -2 > -6. i hope this helps! :)
Answer:
0.67; The least-squares regression line, given by ŷ = 3.95 + 0.67x, is not a good fit for the data.
Step-by-step explanation:
Plot the data in a spreadsheet and insert a trendline. The line of best fit is y = 0.67x + 3.95. The r² value is 0.67.
Measurement a is 45
measurement b is 135
