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Karo-lina-s [1.5K]
3 years ago
9

Help me with this please

Mathematics
1 answer:
Maksim231197 [3]3 years ago
6 0

Answer:

the atom is 3737

Step-by-step explanation:

because it's right

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Which of the following is the solution set of the given equation?<br><br> (x - 3) - 2(x + 6) = -5
Vlad1618 [11]

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

8 0
4 years ago
What is the equation of the quadratic graph with a focus of (1 ,3) and a directrix of y=1?
zimovet [89]
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.

\bf \textit{parabola vertex form with focus point distance}\\\\&#10;\begin{array}{llll}&#10;4p(x- h)=(y- k)^2&#10;\\\\&#10;\boxed{4p(y- k)=(x- h)^2}&#10;\end{array}&#10;\qquad &#10;\begin{array}{llll}&#10;vertex\ ( h, k)\\\\&#10; p=\textit{distance from vertex to }\\&#10;\qquad \textit{ focus or directrix}&#10;\end{array}\\\\&#10;-------------------------------\\\\&#10;\begin{cases}&#10;h=1\\&#10;k=2\\&#10;p=1&#10;\end{cases}\implies 4(1)(y-2)=(x-1)^2\implies 4(y-2)=(x-1)^2&#10;\\\\\\&#10;y-2=\cfrac{1}{4}(x-1)^2\implies y=\cfrac{1}{4}(x-1)^2+2

4 0
3 years ago
What is an equation in point slope form for the line perpendicular to y=2×+13 that contains (8,-4)?
lapo4ka [179]
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
8 0
3 years ago
Marissa has 2.5 hours of swim practice per day. She practices 4 days per week. The swimming season is 14 weeks long.
AveGali [126]

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.

7 0
3 years ago
List the next nine multiples of each number . Find the common multiples
Bad White [126]
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 
5 0
3 years ago
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