Answer:
K- (-8, -2)
L- (2, -2)
J- (-8, -5)
M- (2, -5)
Step-by-step explanation:
Vertices refer to the points where the lines connect, or corners. In this problem they're represented by K, L, J, and M.
The current coordinates are-
K- (-8, -4)
L- (2, -4)
J- (-8, -7)
M- (2, -7)
Since the Y coordinate refers to vertical distance and the X coordinate refers to horizontal distance, translating them two units up would involve adding positive two to each y coordinate.
Therefore the new coordinates would be
K- (-8, -2)
L- (2, -2)
J- (-8, -5)
M- (2, -5)
Hope this was helpful! Sorry if I messed up askdjasjk
Area =
The diameter is double the length of the radius
7 ÷ 2 = 3.5
3.5 × 3.5 = 12.25
= 38.4845100064751
38.4845100064751 rounded to the nearest tenth is 38.5
Answer:
the constant of proportionality k is given by k=y/x where y and x are two quantities that are directly proportional to each other. Once you know the constant of proportionality you can find an equation representing the directly proportional relationship between x and y, namely y=kx, with your specific k.
Step-by-step explanation:
Answer:
The polynomial with real coefficients having zeros 2 and 2 - 2i is
x³ - 6x² + 16x - 16 = 0
Step-by-step explanation:
Given that a polynomial has zeros at 2 and 2 - 2i, we want to write this polynomial.
We have
x - 2 = 0
x - (2 - 2i) = 0
=> x - 2 + 2i = 0
Since the polynomial has real coefficients, and 2 - 2i is a zero of the polynomial, the conjugate of 2 - 2i, which is 2 + 2i is also a polynomial.
x - (2 + 2i) = 0
=> x - 2 - 2i = 0
Now,
P(x) = (x - 2)(x - 2 + 2i)(x - 2 - 2i) = 0
= (x - 2)((x - 2)² - (2i)²) = 0
= (x - 2)(x² - 4x + 8) = 0
= x³ - 4x² + 8x - 2x² + 8x - 16 = 0
= x³ - 6x² + 16x - 16 = 0
This is the polynomial required.
2 miles per minute. Dang, that's one fast guy.