Answer:
A' (-2,3)
B' (-1,1)
C' (-4,0)
Step-by-step explanation:
Given coordinates:
A (3,0)
B (4,-2)
C (1,-3)
We want to find the location of the coordinates after a translation of <-5,3>
Explanation of translation
<-5,3>
Subtract 5 from the x value and add 3 to the y value
Applying translation
A (3,0) ---------> (3-5,0+3) ---------> (-2,3)
B (4,-2) ---------> (4-5,-2+3) ---------> (-1,1)
C (1,-3) ---------> (1-5,-3+3) ---------> (-4,0)
So the new coordinates would be
A' (-2,3)
B' (-1,1)
C' (-4,0)
Answer:
2
Step-by-step explanation:
0(162/3125)+1(162/625)+2(216/625)+3(144/625)+4(48/625)+5(32/3125)
= 2
Step-by-step explanation:
<h3>
6.) 80x²y</h3>
Prime factors of :
• 80 = 2 × 2 × 2 × 2 × 5
• x² = x × x
• y = y
• 80x²y = <u>2 × 2 × 2 × 2 × 5 × x × x × y</u>
<h3>
7.) 56x³y²</h3>
Prime factors of :
• 56 = 2 × 2 × 2 × 7
• x³ = x × x × x
• y² = y × y × y
• 56x³y² = <u>2 × 2 × 2 × 7 × x × x × x × y × y</u>
<h3>
8.) 81xy²</h3>
Prime factors of :
• 81 = 3 × 3 × 3 × 3
• x = x
• y² = y × y
• 81xy² = <u>3</u><u> </u><u>×</u><u> </u><u>3</u><u> </u><u>×</u><u> </u><u>3</u><u> </u><u>×</u><u> </u><u>3</u><u> </u><u>×</u><u> </u><u>x </u><u>×</u><u> </u><u>y </u><u>×</u><u> </u><u>y</u>
#CMIIW ^^
Answer:
The twentieth term is 50.
Step-by-step explanation:
The equation that describes the arithmetic sequence describes it's "general term", which means that all the numbers in that sequence must follow that equation. For instance, if we want to find the first term of the sequence we must make a = 1 and we have:
a1 = 3*1 - 10
a1 = -7
Therefore to find the twentieth term we need to make n equal to 20. This is done below:
a20 = 3*20 - 10
a20 = 60 - 10
a20 = 50
The twentieth term is 50.
Answer: 93
Step-by-step explanation:
To solve this we need to follow BIDMAS.
The order of calculations is brackets, division, then multiplication, then addition, then subtraction.
1) (4 + 3) = 7
2) Division: 8 / 2 = 4
3) Multiplication: 3 * 32 = 96
This leaves us with:
96 + 4 - 7
This equals 93.
