Answer:
48
Step-by-step explanation:
u • w
= (i + 6j ) • (9i - 2j )
= (1 × 9 ) + (6 × - 2 )
= 9 + (- 12)
= 9 - 12
= - 3
v • w
= (5i - 3j ) • (9i - 2j )
= (5 × 9) + (- 3 × - 2)
= 45 + 6
= 51
Then
u • w + v • w
= - 3 + 51
= 48
1). Her walking pace is (1.75 miles) / (50 minutes).
If you want it in units of (miles per hour), do it like this:
(1.75 miles / 50 minutes) x (60 minutes / 1 hour)
= ( 1.75 x 60 / 50 ) miles per hour.
2). The average change was
(30 - 45) degrees / (5 minutes) .
I'm sure you can do the division and make an integer out of that.
3). Each bracelet cost $3.10.
Caroline bought five of them, so she spent $3.10 five times.
Either do the multiplication, or else write down $3.10 five times
and do the addition.
4). In order to factor the expression, the two terms would need
to have some common factor ... both terms need either a power
of 'x', or they need two numbers that have a common factor.
They don't both have an 'x', and 13 and 10 have no common factor.
5). Todd earned 'T' dollars.
Twice what Todd earned is 2T .
$350 more than that is 2T+350 .
The question says that 2,500 is exactly that amount,
so you can write
2T + 350 = 2,500
Subtract 350 from each side: 2T = 2,150
Divide each side by 2: (you can finish it now)
A triangle is rotated around N to give the primed version.
A. Same shape and size -- TRUE. Rotation doesn't change shape or size.
B. Corresponding points are equidistant to N. That's TRUE, each point is rotated around N to get its corresponding point, which will be the same distance from N.
C. DN=D'N. TRUE, just an example of corresponding points.
D. Corresponding side lengths unequal, FALSE. Rotation doesn't change lengths.
Answer:
40
Step-by-step explanation:
80/2=40
