Answer:
C) AB = BC = CD = DA = 2√5
Step-by-step explanation:
Given
A(1, 4)
B(3, 0)
C(1, −4)
D(−1, 0)
We get the distance between point A and point B
AB = √((3-1)²+(0-4)²) = √20 = 2√5
BC = √((1-3)²+(-4-0)²) = √20 = 2√5
CD = √((-1-1)²+(0-(-4))²) = √20 = 2√5
DA = √((1-(-1))²+(4-0)²) = √20 = 2√5
C) AB = BC = CD = DA = 2√5
Yes. This equation given:
______________________________
" y = (½)x + 4 " ; in point-slope form; also known as: "slope-intercept form" ; is:
______________________________________
" y = (½)x + 4 " .
______________________________________
In other words, the equation given is ALREADY written in "point-slope form" ; or, "slope-intercept form".
______________________________________
Note: An equation that is written in "point-slope form"
(or, "slope-intercept form"), is written in the format of:
______________________________________
" y = mx + b " ;_________________
in which:_________________
"y" is a single, "stand-alone" variable on the "left-hand side of the equation"; "m" is the coefficient of "x"; also:
"m" is the slope of the line; which is what we want to solve for;
"b" is the "y-intercept"; or more precisely, the value of "x"
(that is; the "x-coordinate") of the point at which "y = 0";
that is, the value of "x" ; or the "x-coordinate" of the point at which
the graph of the equation crosses the "x-axis".
______________________________________
Note that in our given equation, which is written in "point-slope form" (or, "slope-intercept form" — that is: " y = mx + b " ;
_______________________________________
which is: " y = (½)x + 4 " ;
_______________________________________
we have:
_______________________________________
"y" isolated as "stand-alone" variable on the "left-hand side" of the equation;
m = ½ ;
b = 4 .
_______________________________________
Answer:
n = 24
Step-by-step explanation:
(n + 18) and 2n are "complementary angles:" they add up to 90°.
Thus, n + 18 + 2n = 90. Combining the n terms results in 3n + 18 = 90.
Then 3n = 72. Dividing both sides by 3 results in n = 24.
n is 24, so n + 18 is 42 and 2n is 48. Note that 42 and 48 add up to 90.
Answer:
47 degrees
Step-by-step explanation:
total degrees in a triangle is 180
since this is a right triangle there is a 90 degree in there and it also gives the 43 degree
subtract 90 and 43 from 180 and you get 47
