Follow the order of operations. Evaluate absolute value first.
-3^2+8/2*4-9
Then evaluate exponents
9+8/2*4-9
Then evaluate multiplication and division from left to right
9+4*4-9
9+16-9
Then evaluate addition and subtraction from left to right
25-9
16
Final answer: 16
Answer:
yes
Step-by-step explanation:
Answer:
Distance between school and home = 105 miles.
Step-by-step explanation:
Let distance = D miles
Time to take walking/jogging, t1 = D/6 hours
Time by car, t2 = D/35 hours
Average time, t
= (t1+t2)/2
= D(1/6+1/35)
= (D/210)(35+6)
=41D/210 hours
Given t = t1-3 hours
41D/210 - D/6 = 3
Solve for D
41D/210 - 35D/210 = 3
(41-35)D/210 = 3
6D/210 = 3
D = 3*210/6 = 105 miles.
(Appreciate very much Diana's efforts to walk/job 105 miles to school, and we understand how lucky we are in most of Europe and North America)
The value of r so the line that passes through (-5,2) and (3,r) has a slope of -1/2 is -2
<u>Solution:</u>
Given that line is passing through point (-5, 2) and (3, r)
Slope of the line is 
Need to determine value of r.
Slope of a line passing through point
is given by following formula:
--- eqn 1

On substituting the given value in (1) we get

Hence the value of "r" is -2