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alexandr402 [8]
2 years ago
15

Determine the value of k needed for x = 4 to be a solution of x ^ 3 - 6x ^ 2 - 7x + k = 0

Mathematics
1 answer:
AleksAgata [21]2 years ago
5 0

Answer:

k=60

Step-by-step explanation:

64-(6*16)-28+k=0

64-96-28+k=0

-60+k=0

k=60

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Four times a divided by two equals 5.2
Anna71 [15]

Initial equation:

4a / 2 = 5.2

Multiply both sides by 2:

4a = 10.4

Divide both sides by 4:

a = 2.6

Hope this helps!! :)

4 0
4 years ago
Read 2 more answers
How to do 1.08 times 10 to tje negative3
Basile [38]
*Note: this is actually an example of what you would call scientific notation.

To solve this, let's apply this method to a simpler method. When you multiply 13 by 10, you get 130 right? And when you multiply 13 by 10 to the power of 2, you get 1300 right? The exponent is the amount of zeroes you add after the factor. If the exponent is negative, you simply subtract the amount of zeroes. If there are no zeroes at the end, then you move the decimal however many times to the left. 

Therefore, 1.08 x 10 to the power of negative 3 would be 0.00108. The decimal was moved 3 places to the left. Hope this helps!
7 0
4 years ago
27. Find a polar equation of the conic with focus at the pole that has the given eccentricity and equation of directrix.
ololo11 [35]

The polar equation will be  r=\dfrac{4}{1+cos\theta}

<h3> What is the polar equation?</h3>

A polar equation is any equation that expresses the relationship between r and theta, where r is the distance between the pole (origin) and a point on a curve, and theta is the counterclockwise angle formed by a point on a curve, the pole, and the positive x-axis.

From the equation, we are told that

The  Eccentricity: e = 1

The  Directrix is   y = 4

Generally, the polar equation for e =  1  and y  =  + c is mathematically represented as

r =\dfrac{e\times c}{1+ecos\theta}

r =\dfrac{1\times 4}{1+1\times cos\theta}  

 r=\dfrac{4}{1+cos\theta}

 

Therefore the polar equation will be  r=\dfrac{4}{1+cos\theta}

To know more about the polar equation follow

brainly.com/question/9363127

#SPJ1

4 0
2 years ago
Pleasee helppp fastt
Phoenix [80]
Not sure if this is how your teacher wants it, but here is how I would approach it in high school geometry:

To find the area of a rectangle, you need the base and the height.

The radius is 28 mm however the radius only covers half of one circle. Multiply 28 by 2 to get the length of one circle (56) and multiply 56 by 2 to get the length of your base of your rectangle (112).

Now to find the height: the center of the circles creates an equilateral triangle with the side length of 2r or 56 in this case. This means each angle of that triangle is 60 degrees, and when split in half, this creates two triangles both with angles of 30, 60, and 90. The altitude of this triangle is r√3 because of the “special right triangle rule” or 28√3 in this case. This comes to 48.497 mm. To find the remaining length of the height, you can use the radii of the top and bottom circle which add to 56. Add this to the previous number. So...

Height: 104.497
Base: 112

Now multiply the base times height to get:

216.497 mm.

Hope that helps!
6 0
4 years ago
18 feet equals how many yards
Licemer1 [7]
6 yards because a yard equals 3 feet so if you do 18 feet divided by 3 you get 6 which is equivalent to 6 yards
4 0
4 years ago
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