Answer:
- K'(4, -4)
- L'(8, -4)
- M'(8, 8)
- N'(4, 8)
Step-by-step explanation:
Dilation centered at the origin multiplies every coordinate value by the scale factor.
K(1, -1) ⇒ K' = 4(1, -1) = (4, -4)
L(2, -1) ⇒ L' = 4(2, -1) = (8, -4)
M(2, 2) ⇒ M' = 4(2, 2) = (8, 8)
N(1, 2) ⇒ N' = 4(1, 2) = (4, 8)
Answer:
27,400 is the current population
7% is the rate of increase
The new size is:
- 38,430 is the population if t is an exponent
- 146,590 is t is NOT an exponent in the formula you typed
Step-by-step explanation:
To find the population in a future year, use the formula:

Substitute the value t=5 to find the population in 5 years.

Or if the equation is supposed to have t as an exponent then look below:

Substitute the value t=5 to find the population in 5 years.

This formula is based off the standard formula
so r, the rate is 1.07=1+0.07 so r is 7%.
is the starting population which is 27,400 here.
Answer:
The answer is B!!
Step-by-step explanation:
What do we know given from the statement above the photo? We are told <Q is congruent to <S, and QR is congruent to SR. So by given that, we have an angle (angle Q or angle S), a side (side QR or SR), and another angle (angle R), so we have ASA. I hope this helps!!
Answer:

Step-by-step explanation:
The quadratic formula is:

The discriminant of a quadratic is just the expression under the square root, or
. This can tell us the number of solutions a quadratic has.
If the discriminant is:
- Positive = 2 real solutions
- Equal to Zero = 1 real double/repeated solution
- Negative = 0 real solutions, but 2 imaginary solutions
Our quadratic equation has a discriminant of 5, which is positive. Therefore, it has 2 real solutions.