Find the equation of the circle whose center and radius are given.center ( -2, -5), radius = 1

Answers

Answer 1

Answer:

Answer: The required equation of the circle is $x^2+y^2+4x+10y+28=0.$

Step-by-step explanation: We are given to find the equation of the circle with center (-2, -5) and radius of length 1 unit.

We know that

the standard equation of a circle with center (h, k) and radius of length r units is given by

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

For the given circle, we have

center, (h, k) = (-2, -5) and radius, r = 1 units.

Therefore, from equation (i), we get

$(x-(-2))^2+(y-(-5))^2=1^2\n\n\Rightarrow (x+2)^2+(y+5)^2=1\n\n\Rightarrow x^2+4x+4+y^2+10x+25=1\n\n\Rightarrow x^2+y^2+4x+10y+29-1=0\n\n\Rightarrow x^2+y^2+4x+10y+28=0.$

Thus, the required equation of the circle is $x^2+y^2+4x+10y+28=0.$

Answer 2

Answer: as i said before put the center instead of (h,k) in the general formula and put r=1
so (x-(-2))^2 + (y-(-5)^2 = 1
(x+2)^2 + (y+5)^2 = 1

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Answers

Answer:

Step-by-step explanation:

See attachment. The hypotenuse must be the longest line. Check using the Pythagorean Theorem.

Consider julie's scores on three final exams (x), along with the class means and standard deviations: subject x mean standard deviation history 75 70 5 english 92 90 10 math 80 70 3 science 84 70 7 compared to the other students who took the test, in what class is was julie's highest score?

Answers

Answer: In order to find in what class Julie's has scored highest, we need to find the z score corresponding to Julie's score. The subject who has the highest z score will indicate that Julie has scored highest in that subject.

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Since the z score for Math is highest, therefore, in Math class Julie's score is highest.

Y=8x+168
how do i get the x-intercept and
y-intercept to this equation?

Answers

The x intercept occurs when y=0, and the y intercept when x=0. Substitute these values into the equation to find the intercepts

Find one counterexample to show that the conjecture is false.1 and 2 are supplementary, so one of the angles is acute.
Choose the best counterexample for the conjecture.
O A. mZ1 = 119° and mZ2 = 61°
O B. mZ1 = 39° and mZ2 = 51°
O C. mZ1 = 32º and mZ2 = 157°
O D. mZ1 = 90° and mZ2 = 90°

Answers

B because that’s the answer

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8(t + 2) - 3(t - 4) = 6(t - 7) + 8
what is t?

Answers

Answer: t = 62

**look at attachment for explanation

Why is 296 divided by 6 equals 48 remainder 8

Answers

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we actually have a remainder of 2, not 8 since we have one 6 in 8 so it actually is
296/6=49 remainder 2

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