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Murljashka [212]
3 years ago
6

Find the equation of the line that has a slope of 14 and passes through the point (-3,12).

Mathematics
1 answer:
Roman55 [17]3 years ago
8 0

Answer:

The answer is b=54

Step-by-step explanation:

y=mx+b

12=14(-3)+b

12=-42+b

54=b

hope that helps

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Find (f/g) (x) and state the domain restriction. f (x) = 6x - 3 and g(x) = 12x^2 - 6x
Rufina [12.5K]

9514 1404 393

Answer:

  (f/g)(x) = 1/(2x)

  x ≠ 1/2

Step-by-step explanation:

  (f/g)(x)=\dfrac{f(x)}{g(x)}=\dfrac{6x-3}{12x^2-6x}=\dfrac{6x-3}{2x(6x-3)}\\\\\boxed{(f/g)(x)=\dfrac{1}{2x}}\quad x\ne\dfrac{1}{2}

The domain restriction x ≠ 1/2 comes from the requirement to prevent the denominator factor 6x-3 from being zero.

8 0
2 years ago
A cone is formed from a 300-degree sector of a circle of radius 18 by aligning the two straight sides. what is the result when t
vampirchik [111]

The radius of the completed cone is

... 18×(300°/360°) = 15

The height of the completed cone is found from the Pythagorean theorem:

... 15² + h² = 18²

... h = √99 = 3√11

The volume is given by

... V = (1/3)πr²·h = (1/3)π·15²·3√11

Dividing this value by π gives 225√11 cubic units.

7 0
3 years ago
Which coordinates represent the plotted point? Check all that apply.
miskamm [114]

Answer:Its A,C,E or 1,3,5

Step-by-step explanation:

Got it right in Ed

5 0
2 years ago
Read 2 more answers
You collect a total of $75 in donations from three people. The three donations are in the ratio 4 to 4 to 7. How much is each of
worty [1.4K]
Each smaller donation was for $20 The largest donation was $15 greater than the smaller donation. First, determine the size of each donation. Since they are in a ratio of 4:4:7, it's easiest to add the ratios together (4+4+7) = 15. Then divide the total donation by that sum (75/15) = 5. Finally, multiply 5 by each of the ratios. 5 * 4 = 20, 5 * 4 = 20, and 5 * 7 = 35 So the 2 smaller donations were $20 each, and the largest donation was for $35. The largest donation was $35 - $20 = $15 larger than one of the smaller donations.
7 0
3 years ago
A car starts from an initial velocity of 10m/s and accelerates at 2.5m/s².how long will it take the car to reach a speed of 40m/
PIT_PIT [208]
A=(v-u)/t
We know a=2.5, v=40, u=10, so:
2.5=(40-10)/t
2.5t=40-10
2.5t=30
Divide both sides by 2.5
t=12 It takes 12 seconds for the car to reach 40m/s

To find out how far it went, you do:
d=v+1/2 at^2
d=10+1/2(2.5)(12)^2
d=10+1/2(2.5)(144)
d=10+(1.25)(72)
d=10+90
d=100m

Hope this helps :)
7 0
3 years ago
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