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Likurg_2 [28]
2 years ago
15

What is the center? (X-0.5)^2+(y-3.5)^2=16

Mathematics
2 answers:
pantera1 [17]2 years ago
5 0

Answer:

(.5,3.5) is the center and 4 is the radius

Step-by-step explanation:

(X-0.5)^2+(y-3.5)^2=16

This is written in the form

(x-h)^2 + (y-k)^2 =r^2

where (h,k) is the center and r is the radius

(X-0.5)^2+(y-3.5)^2=4^2

(.5,3.5) is the center and 4 is the radius

Aleks [24]2 years ago
3 0

Answer:

center = (0.5, 3.5)

Step-by-step explanation:

An equation of a circle is given by the general equation;

(x-a)² + (y-b)² = r²

Where (a, b) is the center of the circle and r is the radius of the circle.

Relating the general equation with the equation given;

(x- 0.5)² + (y- 3.5)² =16 with(x-a)² + (y-b)² = r²

then, a= 0.5, b = 3.5 and r = 4 units

Thus, the center is (0.5, 3.5)

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zzz [600]
In order to find height from where ball is dropped, you have to find height or h(t) when time or t is zero.So plug in t=0 into your quadratic equation:h(0) = -16.1(0^2) + 150h(0) = 0 +150h(0) = 150 ft is the height from where ball is dropped. When ball hits the ground, the height is zero. So plug in h(t) = 0 and solve for t.0 = -16.1t^2 + 15016.1 t^2 = 150t^2 = 150/16.1t = sqrt(150/16.1)t = ± 3.05Since time cannot be negative, your answer is positive solution i.e. t = 3.05 
4 0
3 years ago
Suppose a normal distribution has a mean of 98 and a standard deviation of 6. What is P(x< or = to 110)
dem82 [27]

Answer:

97.8%

Step-by-step explanation:

110 is 2 standard deviations above the mean (6+6 = 12)

12+98 = 110

Looking at the standard deviation curve

P(x< or = to 110)  = 1 - P(x>110)

We can find the probability that x>100 by adding  anything above 2 standard deviations above the curve.

P(x>110) = 2.1+.1 = 2.2%

P(x< or = to 110)  = 1 - P(x>110)

                                = 1- 2.2%

                                = 1- .022

                                  = .978

                               = 97.8 %

4 0
2 years ago
Can anyone solve this? Please i need help on these. 50 points for the person who answers!
suter [353]

Answer:

a. k = 8

b. k = 95

c. k = 13.95

d. k = 40

Step-by-step explanation:

4 0
2 years ago
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How do you solve this ?
Alenkasestr [34]
See photo for solution

4 0
3 years ago
Let f(x)=2x squared - 3x+8 what is the value of f(-4)
Illusion [34]

Answer:

f(x) = 52

Step-by-step explanation:

f(x) does the same things as y, so when you get your answer, think of it as the value for y when x = - 4

The second thing you should know is that wherever you see an x on the right, you put in - 4

Let x = - 4

y = 2x^2 - 3x + 8

y = 2(-4)^2 - 3(-4) + 8

y = 2*16 - (-12) + 8

y = 32 + 12 + 8

y = 52

Be careful how you hand - 3x when -4 is put in for x. -3(-4) = 12 not - 12

f(-4) = 52

5 0
2 years ago
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