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3 years ago

The center of circle (x+2)^2+(y-2)^2=9 is (-2,2) . TRUE OR FALSE ?!!

1 answer:

7 0

The standard formula of a circle:
$(x-h)^2+(y-k)^2=r^2$
r - a radius(h; k) - coordinates of a center
We have:
$(x+2)^2+(y-2)^2=9$
Therefore:
The center: (-2; 2)The radius: r² = 9 → r = √9 → r = 3
Answer: TRUE

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Find the area of the region under the graph of f on [a, b]. f(x) = x2 − 8x + 17; [−1, 2]

Harman [31]

Answer:

The area is 42 area units.

Step-by-step explanation:

The area of a function f(x) on an interval [a,b] is given by:

$A = \int\limits^a_b {f(x)} \, dx$

Applying to this question:

$A = \int\limits^-1_2 {x^2 - 8x + 17} \, dx$

Then

$F(x) = \frac{x^{3}}{3} - 4x^{2} + 17x$

$A = F(2) - F(-1)$

$F(2) = frac{2^{3}}{3} - 4*2^{2} + 17*2 = \frac{8}{3} + 18 = \frac{8 + 3*18}{3} = \frac{62}[3}$

$F(-1) = frac{(-1)^{3}}{3} - 4*(-1)^{2} + 17*(-1) = -\frac{1}{3} - 21 = \frac{-1 - 21*3}{3} = -\frac{64}[3}$

$A = F(2) - F(-1) = \frac{62}[3} - (-\frac{64}[3}) = \frac{62+64}{3} = 42$

The area is 42 area units.

5 0

3 years ago

What function equation is represented by the graph?

Rama09 [41]

The graph represents f(x)=-2x-1

3 0

4 years ago

Read 2 more answers

Please answer my other question i need help.

Eduardwww [97]

Answer: Ok

Step-by-step explanation:

7 0

3 years ago

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A biologist observed a population of bacteria that grew at a rate expressed by the exponential equation

bearhunter [10]

Answer:

It will take 26.34 minutes for the population to reach 5 times its initial value

Step-by-step explanation:

Exponential Growing

The population of bacteria grows at a rate expressed by the equation:

$f(t)=256e^{0.06111t}$

Where t is in minutes.

We need to know when the population will reach 5 times its initial value. The initial value can be determined by setting t=0:

$f(0)=256e^{0.06111\cdot 0}=256\cdot 1=256$

Now we find the time when the population is 5*256=1,280. The equation to solve is:

$1,280=256e^{0.06111t}$

Dividing by 256:

$e^{0.06111t}=1,280/256=5$

Taking natural logarithms:

$ln\left(e^{0.06111t}\right)=ln5$

Applying the logarithm properties:

$0.06111t=ln5$

Solving for t:

$t=ln5/0.06111=26.34$

It will take 26.34 minutes for the population to reach 5 times its initial value

6 0

4 years ago

This is a 3 part question, PLEASE HELP ILL GIVE BRAINLY

kaheart [24]

Answer:

Angle of A = 90 degree-62 degree = 28 degree.

Step-by-step explanation:

tan (62) = opposite / adjacent = 10 / a ---> a = 10/tan (62) = 10/ 1.88 = 5.319

cos (62) = a/c --->c = a/cos (62) = 5.319 / 0.47 = 5.3 / 0.47 = 11.3

or another way.

sin (62) = 10 /c ---> c = 10/ sin (62) = 10 / 0.88 = 11.3

So Angle of A = 28 degree.

a = 5. 3

c = 11.3.

please give me brainliest. I hope it help.

7 0

3 years ago