Answer: x=−10
Step-by-step explanation:
x−3−2(x+6)=−5
x+−3+(−2)(x)+(−2)(6)=−5(Distribute)
x+−3+−2x+−12=−5
(x+−2x)+(−3+−12)=−5(Combine Like Terms)
−x+−15=−5
−x−15=−5
−x−15+15=−5+15
−x=10
Check the picture below.
now, we know the directrix is at y = 1, and the focus point is at 1,3, well, notice the picture, the distance between those fellows is just 2 units.
the vertex is half-way between those fellows, therefore, the vertex will be at 1,2.
the distance "p", from the vertex to either the directrix or focus, is really just 1 unit. Since the focus point is above the directrix, is a vertical parabola, and it opens upwards, like in the picture, and since it opens up, the "p" value is positive, or +1.
Perpendicular lines have opposite, reciprocal slopes. I'll show you 2 ways to solve.
y - (-4) = (-1/2)(x - 8)
y + 4 = (-1/2)x + 4
y = (-1/2)x
orrrr...
-4 = (-1/2)(8) + b
-4 = -4 + b
b = 0
Well, we don't write "+ 0" because that's just extra work.
y = (-1/2)x
Note if you see an equation like this, know that b (our y-intercept) is 0. If you see something like y = 7, then the slope is 0, but 0 times our x-value would equal 0 and that's also unnecessary.
Please mark brainlest
Answer: 140
Step-by-step explanation: 2.5 x 4 = 10
10 x 14 = 140
you multiply the amount of hours she swims for 4 days and then multiply those hours by 14 because the swimming season is 14 weeks long.
6. Multiples of 3- 6,9,12,15,18,21,24,27,30
Multiples of 9- 18,27,36,45,54,63,72,81,90
Common Multiples- 9 and 18
7. Multiples of 6- 12,18,24,30,36,42,48,54,60
Multiples of 8- 16,24,32,40,48,56,64,72,80
Common Multiples- 24 and 48
Hope this helps