4x+60+ x+15=180
5x+75=180
5x=105
x=21
Two linear angles are supplementary thereom
Answer:
2
g
n
+
3
+
3
g
Step-by-step explanation:
Answer:
Her model is 37 times as tall as Ben's.
Step-by-step explanation:
70 11/12 ÷ 5 3/4
851/12 ÷ 23/4
851/12 x 4/23
37/1 x 1/1 = 37 times as tall
A line doesn’t have an endpoint
Answer:
c = 5
Step-by-step explanation:
We can find a, b, c by filling in values from the table into the equation:
17 = a(2²) +b(2) +c
32 = a(3²) +b(3) +c
53 = a(4²) +b(4) +c
__
There are numerous ways to solve 3 linear equations in 3 unknowns. We can use elimination.
Subtracting the first equation from each of the other two, we get ...
15 = 5a +b . . . . . . . . . note that c has been eliminated from the equations
36 = 12a +2b
Subtracting twice the first from the second gives ...
(12a +2b) -2(5a +b) = 36 -2(15)
2a = 6
a = 3
__
Now that we have a value for "a", we can "back substitute" into the equations to find "b" and "c".
Substituting this into 15 = ..., we get ...
15 = 5(3) +b
0 = b
And substituting for "a" and "b" in the first original equation gives ...
17 = 4(3) +c
5 = c
The value of c, the constant of the function, is 5.
