<span>8u+9v+3u−5v
= 11u + 4v
answer is </span><span>c. 11u + 4v</span>
Step-by-step explanation:
let Sean be 4 years old and Rachel be 2 years old on April 17
part (A)
R=S-2 --(A)
is an equation that can be used to determine Rachel's age
likewise,
S=R+2--(B)
can be used to determine Sean's age
part (B)
use equation(A) for table (1) and equation(B) for table 2
Table (1) : R=S-2=11-2= R=9
12-2=10=»R=10
13-2=11=»R=11
14-2=12=»R=12
15-2=13=»R=13
16-2=15=»R=14
likewise use equation B for the table (2)
the outputs must be 3,4,5,6,7,8
and 9
Answer:
The true statement is h < k ⇒ (3)
Step-by-step explanation:
∵ The equation of the graph is y =
+ k
∵ (-h, k) are the coordinates of its vertex point
∵ -h is the x-coordinate of the vertex point
∵ x-coordinate of the vertex point is -3
∴ -h = -3
→ Divide both sides by -1
∴ h = 3
∵ k is the y-coordinate of the vertex point
∵ y-coordinate of the vertex point is 4
∴ k = 4
∵ 3 < 4
→ That means h is smaller than k
∴ h < k
∴ The true statement is h < k
Answer:
61/18
Step-by-step explanation:
Make the mixed fraction an improper fraction first. So instead of 1 1/3, it'll be 4/3.
Now in a rectangular prism, there's two of each congruent sides (three pairs in total).
You'll need to multiply (4/3)(3/4) by 2 because there's two of them.
This gives you (1)(2) which equals 2.
Next, take another set --> (4/3)(1/3)(2) again because there's two of them.
This gives you (4/9)(2) which equals 8/9.
Last, take the last set --> (3/4)(1/3)(2)
This gives you (1/4)(2) which equals 1/2.
Now that you have all the areas of the rectangles, add them all together.
2+8/9+1/2 which equals 61/18 inches squared.