Answer: The point (5, 6) would divide the line segment so it is in the ratio of 3:5.
If the ratio of the line segment needs to be 3:5, that means the point will be at the 3/8 distance mark of the line segment. Because there are 8 total parts if the ratio is 3:5 (3 + 5 = 8).
The slope from (2, 9) to (10, 1) is -8/8. So our point would only move 3/8 of that distance. If we multiply -8 and 8 by 3/8, we have -3 and 3.
That means our point must fall 3 and move to the 3 spaces from our starting point of (2, 9). That will put us at (5, 6).
Switch the second equation to equal y so...
y=-2x-3
then plug in for y in the first equation
2x+4(-2x-3)=6
2x-8x-12=6
-6x=18
x=-3
now plug in for y
2(-3)+y=-3
-6+y=-3
y=3
answer (-3,3)
Answer:
A. 2/15, 0.40, 0.47
Step-by-step explanation:
6 green tennis balls
2 yellow tennis balls
7 red tennis balls
15 total tenis balls
probability that the first tennis is a yellow ball:
probability that the second tennis ball is green:
probability that the third tennis ball is red:
Answer:
74
Step-by-step explanation:
We know that
∠ TSR = 84°
if SQ bisects ∠ <span>TSR
then
</span>∠ RSQ = ∠ TSR/2
<span>so
</span>∠ RSQ = (1/2)*84°----- 42°
∠ RSQ = 3x-9
3x-9=42-------> 3x=42+9------> 3x=51-----> x=51/3-----> x=17°
<span>
the answer is
</span>x=17°<span>
</span>
