Answer:
6
Step-by-step explanation:
since it's a right triangle you can use the Pythagorean Theorem
2.7² + b² = 6.5²
7.29 + b² = 42.25
b² = 34.96
b =
which equals 6 when rounded to the nearest tenth
24 * 2 = 24
24 - 7 = 17
We must find an expression that equals 17.
Answer: 18 * 2 - 19
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:
270
Step-by-step explanation:
72 ÷ 4 = 18
6 + 5 = 11
18 × 11 = 198
198 + 72 = 270