Answer:
1. Yes
2. Yes
3. Yes
4. No
Step-by-step explanation:
The numbers are 9 and 10.
Let x be the first number. Since they are consecutive, this means (x+1) represents the second number.
The square of x is x². The square of (x+1) is
(x+1)²=(x+1)(x+1)=x²+1x+1x+1=x²+2x+1
The difference of these squares would be given by
x²+2x+1 - x²
Setting this equal to 19,
x²+2x+1 - x² = 19
Combining like terms,
2x+1=19
Subtract 1 from each side:
2x+1-1=19-1
2x=18
Divide both sides by 2:
2x/2 = 18/2
x = 9
The first number, x, is 9. This means the second number, x+1, is 9+1=10.
Answer:
Step-by-step explanation:
Use the form a sin ( bx- c) + d to find the variables used to find the amplitude, period, phase shift, and vertical shift.
a = 3
b = 2
c = 0
d = 0
Find the amplitude | a |
Amplitude: 3
Find the period using the formula 2π ÷ IbI
Period: π
Find the phase shift using the formula 
Phase Shift: 0
Find the vertical shift : d
Vertical Shift: 0
List the properties of the trigonometric function.
Amplitude: 3
Period: π
Phase Shift: 0 (
0 to the right)
Vertical Shift: 0
Select a few points to graph.
x
f
(
x
)
0 0
π ÷ 4 3
π ÷ 2 0
3
π ÷ 4 -3
π 0
The Trignometric function can be graphed using the amplitude, period, phase shift, vertical shift, and the points.
Amplitude: 3
Period: π
Phase Shift: 0 (
0 to the right)
Vertical Shift: 0
x
f
(
x
)
0 0
π ÷ 4 3
π ÷ 2 0
3
π ÷ 4 -3
π 0
Answer:
The answer in the attached figure
Step-by-step explanation:
we have
-----> equation A
-----> equation B
Isolate the variable x in the equation B
----> substitute in the equation A and solve for y





Find the value of x

The solution of the system of equations is the point (3,-7)