Answer:
m∠DEF is 90°
Step-by-step explanation:
It is given that D(5, 7), E(4, 3), and F(8, 2) form the vertices of a triangle. Thus, using the distance formula, we have
⇒
⇒
and
⇒
⇒
Also,
⇒
⇒
Now,
⇒
⇒
Thus, Pythagoras theorem holds.
Hence, m∠DEF is 90°⇒ΔDEF is right angled triangle which is right angled at E.
DE^2 = 1 + 16 = 17.
EF^2 = 16 + 1 = 17.
DF^2 = 9 + 25 = 34.
Since (DE)^2 + (EF)^2 = (DF)^2,
angle E is 90 degrees.
DF must be the hypotenuse
Here look at that
Select from the drop-down menus to correctly complete each statement.
The function is an exponential Choose...
function.
The percent rate of change of the function is Choose..
%
The function is an exponential growth function, and the percent rate of change of the function is 160%
An exponential function is a mathematical function of the following form: f(x) = aˣ. where x is a variable, and a is a constant called the base of the function.
Given is an exponential function, f(x) = 0.3(2.6)ˣ
This is in the form of,
f(x) = a(b)ˣ
Where,
a is the initial value or y-intercept
b is the base of the exponential function
If b> 1---> we have a growth function
if b< 1---> is a decay function
If r is the percent rate of change
b = (1+r)
We have
a = 0.3
b = 2.6
Since, the value of b >1
Therefore,
f(x) = 0.3(2.6)ˣ is a growth function
For r,
r = b-1 = 2.6-1 = 1.6
Converting into percent,
1.6 x 100 = 160%
Hence, the function is an exponential growth function, and the percent rate of change of the function is 160%
Learn more about exponential function, click;
#SPJ5
that picture shows how to solve it
Helllllp, I need somebody. Helllllp , I need somebody.
I just felt like doing this as a joke. Hope it makes you laugh
To convert a mixed number to a decimal, divide the fraction part and add it to the whole number.
To convert a mixed number to a decimal, you need to convert the fraction part to a decimal and then add it to the whole number. In this case, the mixed number is 4 15/16. To convert the fraction 15/16 to a decimal, divide the numerator (15) by the denominator (16). The result is approximately 0.9375.
Next, add the decimal 0.9375 to the whole number 4. The sum is 4.9375.
Therefore, 4 15/16 as a decimal is approximately 4.9375.
#SPJ11