Part A: Explain why the x-coordinates of the points where the graphs of
the equations y = 4-x and y = 2x + 3 intersect are the solutions of the
equation
4-x = 2x + 3.
Because the point where the graphs intersect is a point that meets both rules (functions) y = 4 - x and y = 2x + 3 meaning that y from y = 4 - x equals y from 2x + 3 and also both x have the same value.
Part B: Make tables to find the solution to 4-x = 2x + 3. Take the integer values of x between -3 and 3.
x values 4 -x 2x + 3
-3 4-(-3)=7 2(-3)+3 =-3
-2 4-(-2)=6 2(-2)+3 =-1
-1 4-(-1)=5 2(-1)+3 = 1
0 4-0=4 2(0)+3 = 3
1 4-1=3 2(1)+3=5
2 4-2=2 2(2)+3 = 7
3 4-3=1 2(3)+3 = 9
The the solution is between x = 0 and x =1
Part C: How can you solve the equation 4-x = 2x + 3 graphically?
Draw in a same graph both functions y= 4 - x and y = 2x +3.
Then read the x-coordinates of the intersection point. That is the solution.
Answer:
∠1 + ∠2 + ∠3 = 180°
Step-by-step explanation:
Given : AB II XC
To Show : ∠1 + ∠2 + ∠3 = 180°
Proof: Here, given that AB is parallel to the line XC
⇒ ∠4 = ∠2 (Pair of Alternate angles as AB II XC) ......... (1)
and ∠5 = ∠3 (Pair of Alternate angles as AB II XC) ........... (2)
Now, ∠1 + ∠4 + ∠5 = 180° ( Straight Angle)
But, from above (1) and (2)
∠1 + ∠2 + ∠3 = 180° ( as ∠4 = ∠2, ∠5 = ∠3)
Hence, ∠1 + ∠2 + ∠3 = 180°
Hence Proved.
Answer:
Option B.
Step-by-step explanation:
Answer:
the number is 7
Step-by-step explanation:
I am not sure what you mean by "translate" but here is my solution to the problem.
first write the question as a equation: 3x - 5 = 16
then add 5 to both sides: 3x = 21
divide both sides by 3: x = 7
double check
3*7 - 5 = 16
the number is 7
