The most efficient way of finding the answer to this question is first reducing 10-24-26 and comparing it with the first 5 combinations for right-angled triangles:
First, reduce 10-24-26 by dividing it by the GCF (greatest common factor).
10-24-26 divided by its GCF, 2, is: 5-12-13
Now comparing it with the first 5 combinations for right-angled triangles:
1) 3-4-5
2) 5-12-13
3) 7-24-25
4) 8-15-17
5) 20-21-29
As you can see, number 2 is the same as our reduced example. Therefore, we know that 10-24-26 is a right triangle.
Hope this helps!
Answer:
6156
Step-by-step explanation:
formula is TSA=2LW+2LH+2HW
Answer:
Justin has a lower mean tip for the week with $42.
Step-by-step explanation:
To find the mean you must add all the numbers and then divide the sum by how many numbers there are.
For Justin you must add 32 + 45 + 50 + 33 + 50 then you'll get the sum 210. There are 5 numbers so you divide 210 by 5 which gives you the quotient 42.
As for T.J. you add 58 + 48 + 40 + 42 + 42 which gives you the sum of 230. Then you divide 230 by 5 since there's 5 numbers. Now you have the quotient of 46.
46 is greater than 42 so Justin has the lower mean.
Answer:
The exponential function, exp : R → (0,∞), is the inverse of the natural logarithm, that is, exp(x) = y ⇔ x = ln(y). Remark: Since ln(1) = 0, then exp(0) = 1. Since ln(e) = 1, then exp(1) = e.
Step-by-step explanation:The exponential function, exp : R → (0,∞), is the inverse of the natural logarithm, that is, exp(x) = y ⇔ x = ln(y). Remark: Since ln(1) = 0, then exp(0) = 1. Since ln(e) = 1, then exp(1) = e.
Answer:
g(x) = (-1/25)x + (203/25)
Step-by-step explanation:
The general equation for a line is slope-intercept form is:
y = mx + b
In this form, "m" represents the slope and "b" represents the y-intercept.
We know that perpendicular lines have opposite-signed, reciprocal slopes of the original line. Therefore, if the slope of f(x) is m = 25, the slope of g(x) must be m = (-1/25).
To find the y-intercept, we can use the newfound slope and the values from the given point to isolate "b".
g(x) = mx + b <----- General equation
g(x) = (-1/25)x + b <----- Plug (-1/25) in "m"
8 = (-1/25)(3) + b <----- Plug in "x" and "y" from point
8 = (-3/25) + b <----- Multiply (1/25) and 3
200/25 = (-3/25) + b <----- Covert 8 to a fraction
203/25 = b <----- Add (3/25) to both sides
Now that we know both the values of the slope and y-intercept, we can construct the equation of g(x).
g(x) = (-1/25)x + (203/25)
