Solve for x in 2nd equation
times -1 both sides
x-5=6y
add 5
x=6y+5
sub
5(6y+5)+4y=-26
30y+25+4y=-26
34y+25=-26
minus 25 both sides
34y=-51
divide both sides by 34
y=-3/2
sub back
x=6y+5
x=6(-3/2)+5
x=-18/2+5
x=-9+5
x=-4
(-4,-3/2) is solution
Solution:
<u>Note that:</u>
- 1 min = 60 sec
- 1 h = 60 min.
<em>The given time is in seconds. Convert it into minutes by dividing it by 60.</em>
- => 25,200 seconds = 25,200 ÷ 60 minutes = 420 minutes
<em>The obtained time is in minutes. Convert it into hours by dividing it by 60.</em>
- => 420 minutes = 420 ÷ 60 hours = 7 hours
<u>We can conclude that:</u>
- 25,200 seconds = 420 minutes = 7 hours
Answer:
56
Step-by-step explanation:
The marked angles are opposite angles, and as such they have the same measure. So, we have
Subtract 2a and 11 from both sides to get
Divide both sides by 4 to get
Now that we know the value of a, we can compute the measure of the angles. We can also verify that the solution we found is correct by verifying that both expressions actually give the same result:
Answer:
8, 10, 3
Step-by-step explanation:
For finding real solutions to cubic equations and those of higher degree, I find a graphing calculator to be useful. The problem can be cast in the form ...
f(x) = 0
where f(x) is the difference between the product of the integers and 240:
f(x) = x(x +2)(x -5) -240
Then all we need to do is ask the calculator to show the x-intercept. It is x=8.
So, the three integers are ...