So, M=((−2)+(6)/2,(5)+(−9)/2=(2,−2)
Answer: M=(2,−2)
Answer:
x = 3 +- √18
Step-by-step explanation:
By completing the square method
9514 1404 393
Answer:
72 kph
Step-by-step explanation:
The first sentence tells you the speeds are proportional. So, you can write the proportion ...
kph/mph = 120/75 = x/45
Multiplying by 45 gives x:
x = (45)(120/75) = 72
72 kph is 45 mph.
y = 6 - 3x
x + y = 62
Since we already know the value of y, we can use substitution to find the value of x.
x + 6 - 3x = 62
<em><u>Subtract 6 from both sides.</u></em>
x - 3x = 56
<em><u>Combine like terms.</u></em>
-2x = 56
<em><u>Divide both sides by -2</u></em>
x = -28
Now that we know the value of x, we can solve for the value of y.
x + y = 62
-28 + y = 62
<em><u>Add 28 to both sides</u></em>
y = 90
The value of y is 90, and the value of x is -28 (this is your answer)
To make sure that these values are correct, we can plug them into the original equations.
y = 6 - 3x
x + y = 62
90 = 6 - 3(-28)
90 = 90 √ this is correct
-28 + 90 = 62
62 = 62 √ this is also correct
D - their slopes are negative reciprocals of each other.
