Answer:
- X'(5, 2)
- Y'(0, 1)
- Z'(-1, -4)
Step-by-step explanation:
The translation increases each x-coordinate by 3, moving the point 3 units to the right. It decreases each y-coordinate by 1, moving the point 1 unit down.
(x, y) ⇒ (x+3, y-1)
X(2, 3) ⇒ X'(5, 2)
Y(-3, 2) ⇒ Y'(0, 1)
Z(-4, -3) ⇒ Z'(-1, -4)
The red arrows show the translation of each point in the graph.
Answer:
x>4 or x≤-6
Step-by-step explanation:
x+6>10 or 3x+11≤-7
x>4 or 3x≤-18
x>4 or x≤-6
In order to visualize the transformations, we must execute the transformation in the options
The first transformation would shift triangle ABC 3 units to the left and reflect it across x = 4. This will not map ABC unto DEF.
The second transformation would shift triangle ABC 7 units down and reflect it across x =4. This will map ABC unto DEF,
So, the answer is the second option.
Answer:
£289.20
Step-by-step explanation:
13:2 = x:16 or 13/2 = x/16
cross multiply: 208 = 2x
simplify: x = 104
16 blue tiles x £2.80 each = £44.80
104 white tiles x £2.35 each = £244.40
44.80 + 244.40 = £289.20
The interest paid is Rs 10000
The rate of interest is 20%
Step-by-step explanation:
Step 1 :
Amount borrowed by Mr. Satyal = Rs 50000
Amount repaid = Rs 60000
Interest is charged on the principal amount and the amount repaid will be the sum of the interest paid plus the principal amount
Hence the interest paid is 60000 - 50000 = Rs 10000
Step 2:
The rate of interest is calculated as follows :
Divide the interest calculated by the principal amount and is expressed as percentage.
Hence the interest rate =
× 100 = 20%
Step 3 :
The interest paid is Rs 10000
The interest rate is 20%