Answer:
The sum of a number and its additive inverse is equal to 0.
Step-by-step explanation:
Answer:
5x - y = 10x + 3y = 4
5x - y = 4..... 1
10x + 3y = 4.....2
multiply by -2 in eq 1 in both sides
-10x + 2y = -8
10x +3y = 4
eliminate one variable by adding the equations
5y = -4
y = - 4/5
sub the value of y in..1
5x - y = 4
5x + 4/5 = 4
5x = 16/5
divide by 5 on both sides
x = 16/25
(x ; y)
(16/25 ; -4/5)
Answer:
D) (x, y) → (1/3x , 1/3 y)
Step-by-step explanation:
A dilation is a change of size, if the dilation factor is greater than 1, then the figure is enlarged. If the dilation factor is smaller than 1, the figure is shrinked. In both cases, the coordinates are MULTIPLIED by the dilation factor.
Among the 4 choices, only 2 are dilations. One is with a dilation factor of 3 (A), which means the shape was enlarged. And the other is with dilation factor of 1/3, meaning the shape was shrinked.
Since we went from MNOP (LARGE one) to M'N'O'P' (small one), the dilation factor was < 1... so 1/3 is the answer.
Answers B and C show a translation/movement of the shape, not a dilation.
Answer:
Exact form : -31/4
Decimal form: -7.75
mixed number form: -7(3/4)
Step-by-step explanation:
Answer:
p=2982
Step-by-step explanation:
Rate of interest = 6 % p.a
No of year = 12
P.V = $ 25000
Installments (p) = ?
We know the formula of P.V annuity
P.V = P[ 1-(1+r)-n/r]
25000 = P[1-(1+0.06)-12/0.06]
P = 2982 will withdraw annuity
