Y-(-3)=m(x-(-4)..........Simplified would be y+3=m(x+4)
Supplementary angles add up to 180
180 - 118 = 62
so the answer is true.
Answer:
Part 1) The rate of change is
Part 2) The initial value is
Step-by-step explanation:
we know that
The linear equation in slope intercept form is equal to
where
m is the slope or rate of change
b is the y-intercept or initial value
step 1
Find the slope or rate of change
The formula to calculate the slope between two points is equal to
we have the points
(5,12)and (2,6)
substitute the values in the formula
therefore
The rate of change is
step 2
Find the initial value
we have
substitute in the equation
solve for b
---> initial value
The linear equation is equal to
The y-intercept or initial value is 2
Answer:
Step-by-step explanation:
1) 2x+ 4 = 10
2x = 6
x = 3 (3 is the answer)
2) we have to substitute y with 3 and z with 4
3.75*3 + 6.50*4 ≥ 50
11,25 + 26 ≥ 50
37.25 ≥ 50
so the answer is no, because the total will be $37.25
3) 12k + 2 < 12
12k < 10
k < 5/6
3/4 < 5/6 so the answer is true
4) we have to try the options
a) 3*4 + 4*2 + 6 = 26
12 + 8 + 6 = 26
26 = 26 (true)
b) 3*5 + 4*6 + 6 = 26
15 + 24 + 6 = 26
45 = 26 (false)
c) 3*4 + 4*3 + 6 = 26
12 + 12 + 6 = 26
30 = 26 (false)
d) 3*3 +4*5 + 6 = 26
9 + 20 + 6 = 26
35 = 26 (false)
so the answer is x=4 , y=2
5) 3a + 4 ≥ 13
3a ≥ 9
a ≥ 3
so the answer is {3,4.5,5}
Answer: 8.4 miles per hour
Step-by-step explanation:
Since, total distance = 24.5 miles,
Time taken =
Thus,