1*2 - 3=2-3= -1
(-1 +2+3):4=(5-1): 4 =4 : 4 = 1
(-1+2) * 3 - 4 = - 1
Answer:
Domain is all Real Numbers and the Range is all Real Numbers.
Step-by-step explanation:
It is a function.
The graph of this function is a straight line passing through the x axis at (10,0) and the y-axis at (0,10). The line continues to the left and right without bounds.
So the Domain is all Real Numbers and the Range is all Real Numbers.
9514 1404 393
Answer:
- 13 ft
- (a) 1 second; (b) t = 0, t = 1/2
Step-by-step explanation:
<h3>1. </h3>
Let w represent the length of the wire. Then the height of attachment is (w-1). The Pythagorean theorem tells us a relevant relation is ...
5² +(w -1)² = w²
w² -2w +26 = w² . . . . . . . eliminate parentheses, collect terms
26 = 2w . . . . . . . . . . . . add 2w
13 = w . . . . . . . . . . . . divide by 2
The length of the wire is 13 feet.
__
<h3>2. </h3>
(a) When h = 0, the equation is ...
0 = -16t^2 +8t +8
Dividing by -8 puts this into standard form:
2t^2 -t -1 = 0
Factoring, we get ...
(2t +1)(t -1) = 0
The positive value of t that makes a factor zero is t = 1.
It will take 1 second for the gymnast to reach the ground.
__
(b) When h = 8, the equation is ...
8 = -16t^2 +8t +8
Subtract 8 and divide by 8 to get ...
0 = -2t^2 +t
0 = t(1 -2t) . . . . factor out t
Values of t that make the factors zero are ...
t = 0
t = 1/2
The gymnast will be 8 feet above the ground at the start of the dismount, and 1/2 second later.
Answer:
-27+33d
Step-by-step explanation:
-3 is the multiplier for the numbers in the bracket
-3+30d-24+3d
-3-24+30d+3d
-27+33d
Answer:
84
Step-by-step explanation:
The area of a parallelogram is base * height.
Base = 12
Height = 7
12 * 7 = 84