<u>Answer:</u>
W (-1, 4) ---> W' (-4, -1)
X (-1, 2) ---> X' (-2, -1)
Y (2, 2) ---> Y' (-2, 2)
Z (2, 4) ---> Z' (-4, 2)
<u>Step-by-step explanation:</u>
We have with a rectangular figure WXYZ and we are to find the coordinates of its vertices W'X'Y'Z' after the transformation of 90° rotation.
We know that, the rule for 90° rotation of a point (x, y) gives (-y, x).
So,
W (-1, 4) ---> W' (-4, -1)
X (-1, 2) ---> X' (-2, -1)
Y (2, 2) ---> Y' (-2, 2)
Z (2, 4) ---> Z' (-4, 2)
Answer:
a= v+w-k
Step-by-step explanation:
Get 'a' by itself to make it a solvable equation
so, subtract k from both sides so it can cancel itself on the 'a' side
We can use the pythagorean theorem to solve this
The pythagorean theorem = a^2 + b^2 = c^2, while
a = one leg
b = the second leg
c = the hypotenuse
In this problem,
a = 3
b = 15
c = ?
Let's plug our values into the pythagorean theorem
(3)^2 + (15)^2 = c^2
9 + 225 = c^2
Add together the left side
234 = c^2
Take the sqrt of both sides
sqrt(234) = c
The length of BC = sqrt(234)
Answer:
y = 3^(1 + x)
Step-by-step explanation:
Notice that each time x increases by 1, y increases by a factor of 3.
Thus, the required equation has the form y = 3^x.
Check: If x = 0, do we get 3? No. Therefore we must modify the exponent:
y = 3^(1 + x)
Check: If x = 0, do we get 3? 3^(1 + 0) = 3 (correct)
If x = 2, do we get 27? 3(1 + 2) = 3^3 + 27 (correct)
Answer:
4 minutes
Step-by-step explanation:
Put it into an equation
20000 = 1250x + 15000
Subtract 15000 from both sides
5000 = 1250x
Divide both sides by 1250
4 = x
