Answer:
See Below
Step-by-step explanation:
That rule is a transformation across the x-axys.
Assigne a letter to each point:
A = (2, 7) => A' = (2, -7)
B = (-5, -2) => B' = (-5, 2)
C = (4, -3) => C' = (4, 3)
Answer:
3/2
Step-by-step explanation:
Recall that slope is y2 - y1 / x2 - x1.
Excellent. The question provides us with two points: (2,4) and (0,1). We can insert these two points into our equation.
Slope = (4 - 1) / (2 - 0) = 3 / 2.
Hope this helps!
If your equation is 2v + 7 = 3,
Subtract 7 from both sides to get 2v = -4
Then divide 2 on both sides and get v = -4/2
Then simplify to get v = $-2
Answer: 3 seconds
We are given the following function:
(1)
Where:
is the time the ball is in the air
the initial upward velocity
the initial height of the ball
is the final height of the ball. If no one catches it, this will be <u>zero</u>
So, equation (1) changes to:
(2)
Substituting the known values:
(3)
This is a quadratic equation in the form 
. In order to find we can use the quadratic formula for the roots:
(4)
Where 
, 
and 
Substituting this values in (4):
(5)
(6)
(7)
For 
:
(8)>>>> This result does not work for us because is negative
For 
:
(9)>>>This is the result
Therefore:
<h2> If no one catches the ball, it will be 3 s in the air</h2>
Answer:
34 = 2A + 1B + 4C
35 = 3A + 2B+ 2C
49 = 5A + 3B+ 2C
Pairs the 1st and 2nd equation, then eliminates C:
34 = 2A + 1B + 4C
35 = 3A + 2B + 2C
34 = 2A + 1B + 4C
-70 = -6A + -4B + -4C <---- multiplies 2nd equation by -2
Adds them together
-36 = -4A + -3B
36 = 4A + 3B <----- please label this equation ALPHA
Next, pairs the 2nd and 3rd equations, and eliminates C:
35 = 3A + 2B+ 2C
49 = 5A + 3B+ 2C
Subtracts the top equation from the bottom:
49-35 = 5a-3a + 3b-2b + 2c-2c
14 = 2a + b <--- please label this equation BETA
ALPHA: 36 = 4A + 3B
BETA: 14 = 2a + b
Solves the 2x2 system by substitution:
BETA: 14 - 2a = b <---- solves equation BETA for b
Substitutes into equation ALPHA:
36 = 4a + 3(14 - 2a)
36 = 4a + 42 - 6a
36 = 42 - 2a
-6 = -2a
a=3
b = 14 - 2a = 14 - 2(3) = 14 - 6 = 8
34 = 2a + b+ 4c
34 = 2(3)+ 8 + 4c
34 = 6+8 + 4c
34 = 14 + 4c
20 = 4c
c=5
1 pound of apples cost $3
1 pound of berries cost $8
1 pound of cherries cost $5
