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Volgvan
2 years ago
15

Find the value of k

Mathematics
1 answer:
steposvetlana [31]2 years ago
6 0

Answer:

k=3

Step-by-step explanation:

The general form of the line is y=mx+b. So, the value of the slope must be 12. In this case:

4k = 12\\\frac{4k}{4} =\frac{12}{4} \\k=3

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what is the arc length of a circle that has a 6-inch radius and a central angle that is 65 degrees? use 3.14 for π and round you
Vinvika [58]
The answer is C.

The arc length is 6.806784.

Hope this helps.
3 0
3 years ago
Read 2 more answers
Write a quadratic function in vertex form whose graph has the vertex
ELEN [110]

Answer:

y = \frac{1}{2}(x - 5)² - 2

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k) = (5, - 2), thus

y = a(x - 5)² - 2

To find a substitute (7, 0) into the equation

0 = a(7 - 5)² - 2

0 = 4a - 2 ( add 2 to both sides )

2 = 4a ( divide both sides by 4 )

a = \frac{2}{4} = \frac{1}{2}

y = \frac{1}{2} (x - 5)² - 2 ← in vertex form

4 0
2 years ago
4(x + 3) = 6-x what is the answer I need help please
Amanda [17]
4(x + 3) = 6 - x

First, expand to remove parentheses.
4x + 12 = 6 - x
Second, subtract '6' from both sides.
4x + 12 - 6 = -x
Third, subtract '12 - 6' to get 6.
4x + 6 = -x
Fourth, subtract '4x' from both sides.
6 = -x - 4x
Fifth, since 'x' can be referred to as '1', add it to '4x' to get '-5x'.
6 = -5x
Sixth, divide both sides by '-5'.
\frac{6}{-5} =x
Seventh, change the whole fraction into a negative.
-\frac{6}{5} =x
Eighth, switch your sides.
x =  -\frac{6}{5}

Answer as fraction: -\frac{6}{5}
Answer as decimal: -1.2

4 0
3 years ago
Find the amount of 30000 naira 5 and half years at 7%​
Nataly_w [17]

Answer:41550

Step-by-step explanation:

30000×.07=2100

2100×5.5=11550

11550+30000=41550

5 0
3 years ago
Information on a sample of 362 college students is collected. The complete dataset is available at StudentSurvey. We see that 27
pishuonlain [190]

Answer:

So, we conclude that the best estimate for the difference in the proportion of smokers is 4.4%.

Step-by-step explanation:

We know that 27 of the 193 males in the sample smoke while 16 of the 169 females in the sample smoke.  

We have the following proportion:

27:x=193:100\%\\\\193x=27\cdot 100\\\\193x=2700\\\\x=\frac{2700}{193}\\\\x=13.9\%

So we get that 13.9% of men smoke.

We have the following proportion:

16:x=169:100\%\\\\169x=16\cdot 100\\\\169x=1600\\\\x=\frac{1600}{169}\\\\x=9.5\%

So we get that 9.5% of women smoke.

We get: 13.9%-9.5%=4.4%.

So, we conclude that the best estimate for the difference in the proportion of smokers is 4.4%.

6 0
3 years ago
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