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8090 [49]
3 years ago
7

What is the exact value of cot pi/3?​

Mathematics
1 answer:
Volgvan3 years ago
5 0
1√3
The exact value of cot(π3) cot ( π 3 ) is 1√3 .
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Given the equation 4x2 − 8x + 20 = 0, what are the values of h and k when the equation is written in vertex form a(x − h)2 + k =
GenaCL600 [577]

Answer:

The correct option is:

h = 1, k = 16

Step-by-step explanation:

y=4x^2-8x+20 =0

It is a quadratic formula in standard form:

ax^2+bx+c

where a = 4 , b = -8 and c=20

The vertex form is:

a(x − h)2 + k = 0

h is the axis of symmetry and (h,k) is the vertex.

Calculate h according to the following formula:

h = -b/2a

h= -(-8)/2(4)

h = 8/8

h = 1

Substitute k for y and insert the value of h for x in the standard form:

ax^2+bx+c

k = 4(1)^2+(-8)(1)+20

k = 4-8+20

k=-4+20

k = 16

Thus the correct option is h=1, k=16....

8 0
3 years ago
What is the value of the 3 in 16.35 ?
WINSTONCH [101]

Answer: easy. The value is 3 tenths.

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Graph the line with slope -1/3 passing through the point (2, 1).
bogdanovich [222]

Answer:

Step-by-step explanation:

y = mx + b

y = -x/3 + b

1 = -2/3 + b

b = 5/3

y = -x/3 + 5/3

5 0
2 years ago
I need some help with this question. It says: expand and simplify 5(x + 7) + 3(x - 2)
Tanya [424]

Answer:

8x+29

Step-by-step explanation:

open the brackets the collect like terms together

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3 years ago
Which is the slope-intercept form of the equation of a line that passes through (5,-4) and has a slope of 3/4
Andreas93 [3]
Y = mx +b whre m is the slope and b is the y-intercept.

We have the slope 3/4 so put that instead of m

y = 3/4x + b

Now to find the y-intercept (b), plug the ordered pair in and solve for b.

-4 = 3/4 * 5 + b
-4 = 15/4 + b
-31/4 + b

So y = 3/4x - 31/4
4 0
4 years ago
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