Answer:
Step-by-step explanation:
f-1(x) is the inverse of f(x)
to find the inverse let’s set the equation up like this
y = 4x -2
now we’ll switch x and y
x = 4y -2
and solve for y
x + 2 = 4y
x/4 + 2/4 = y
the inverse is
y = x/4 + 1/2
this equation is written in y = mx + b form
where b = y intercept
so the y intercept is 1/2
4,234 rounded to the nearest ten thousand is jsjdndn
Original coordinates of the points:
A (8,15) ; B (12,13) ; C (8,10)
Dilated scale factor of 3.
A ⇒ 3x = 3(8) = 24 ; 3y = 3(15) = 45 ⇒ A' (24,45)
B ⇒ 3x = 3(12) = 36 ; 3y = 3(13) = 39 ⇒ B' (36, 39)
C ⇒ 3x = 3(8) = 24 ; 3y = 3(10) = 30 ⇒ C' (24, 30)
The given image forms a right triangle. So, I'll get the short leg and long leg of the right triangle to solve for the hypotenuse, length of CB.
Short leg: y value of B and C
39 - 30 = 9
Long leg: x value of B and C
36 - 24 = 12
a² + b² = c²
9² + 12² = c²
81 + 144 = c²
225 = c²
√225 = √c²
15 = c
The length of CB is 15 units.
9514 1404 393
Answer:
(x +4)^2 +(y +8)^2 = 64
Step-by-step explanation:
The equation of a circle with center (h, k) and radius r is ...
(x -h)^2 +(y -k)^2 = r^2
The circle centered at (h, k) = (-4, -8) with radius 8 has equation ...
(x +4)^2 +(y +8)^2 = 64
Answer: 165=11h
Step-by-step explanation:
I believe it would be 165=11h because you have to multiply the number of hours she worked times 11 to get the amount that would equal 165!
