Answer:

Step-by-step explanation:
Answer:
m=8
Step-by-step explanation:
-88=-3(4m+5)-(1-3m)
-88=-12m-15-(1-3m) <- Distributive Property
-88=-12m-15-1+3m <- Open () if there is a negative negative the symbol equals positive
-88=-9m-16 <- Simplify
0=-9m+72 <- Add 88 to both sides
9m = 72 <- Add 9m to both sides
9m = 72
/9 /9
m=8
1.75 or 7/4 as a fraction
Answer:
speed = 32km/hr
Step-by-step explanation:
Time
10:15 to 10:30 = 1/4 hr
speed = distance/time
speed = 8 / (1/4)
speed = 32km/hr
Answer:
x = 4 sqrt(2)
Step-by-step explanation:
This is a right triangle so we can use trig functions
sin theta = opp/ hypotenuse
sin 45 = 4/x
Multiply x to each side
x sin 45 = 4/x *x
x sin 45 = 4
Divide each side by sin 45
x sin 45 / sin 45 = 4 /sin 45
x = 4/ sin 45
We know sin 45 = sqrt(2)/2
x = 4/ sqrt(2) /2
x = 8/ sqrt(2)
We do not leave a sqrt in the denominator so multiply by sqrt(2)/ sqrt(2)
x = 8/ sqrt(2) * sqrt(2)/sqrt(2)
x = 8 * sqrt(2) /2
x = 4 sqrt(2)