Answer:
25
Step-by-step explanation:
The distance formula is the square root of (x1-x2)^2+ (y1-y2)^2
So it would be square root [ (-2-3)^2 + (6-(-2))^2]
So it would be square root(25+64)
Square root(89)= 9.433
In y=Mx+b, m is the slope (and b is the y-intercept). Therefore, the slope of that line is -4
Answer:
8 mangoes
Step-by-step explanation:
1) lets create 2 systems of inequalities
where m=# of mangoes
p=# of peaches
so m+p≥15 and 1m+0.5p≤15
lets substitute "13" in the m+p inequality to see how many mangoes dylan can buy:
m+(13)≥15
subtract "13" from both sides:
m≥2
now we substitute "13" in the other inequality:
m+0.5(13)≤15
m+6.5≤15
subtract 6.5 from both sides:
m≤8.5
m≥2 and m≤8.5
seeing our restriction, we can buy 8 mangoes (since we can't have 1/2 a mango)
hope this helps!
Answer:
True
Step-by-step explanation:
Evaluating the proposed trigonometric form, we get ...
5(cos(270°) +i·sin(270°))
= 5·cos(270°) +5i·sin(270°)
= 5·0 +5i·(-2)
= 5i
The statement is true.
