Mathematics, 10.12.2019 02:31 a897coleman

Acircle is centered at the point (-7, -1) and passes through the point (8, 7).
the radius of the circle is . the point (-15, lies on this circle.

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Answer from: ZachLaVine2016

Part 1) The radius of the circle is 17 units

Part 2) The point (-15,14) and (-15,-16) lies on this circle

Step-by-step explanation:

step 1

Find the radius of the circle

we know that

The distance from a circle's center to any point on the circle is called the radius of the circle

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

Find the distance (radius) between the points (-7,-1) and (8,7)

substitute in the formula

$r=\sqrt{(7+1)^{2}+(8+7)^{2}}$

$r=\sqrt{(8)^{2}+(15)^{2}}$

$r=\sqrt{(289}\ units$

$r=17\ units$

step 2

Find the equation of the circle in center radius form

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

where

(h,k) is the center of the circle

r is the radius of the circle

we have

$(h,k)=(-7,-1)\\r=17\ units$

substitute

(x+7)^2+(y+1)^2=17^2

(x+7)^2+(y+1)^2=289

Remember that

If the point (-15,y) lie on the circle, then the ordered pair must satisfy the equation of the circle

substitute the value of x=-15 in the equation

(-15+7)^2+(y+1)^2=289

solve for y

(-8)^2+(y+1)^2=289

64+(y+1)^2=289

(y+1)^2=225

take square root both sides

$y+1=(+/-)15\\y=-1(+/-)15$

$y=-1+15=14\\y=-1-15=-16$

therefore

The point (-15,14) and (-15,-16) lies on this circle

see the attached figure to better understand the problem

Acircle is centered at the point (-7, -1) and passes through the point (8, 7). the radius of the cir

Answer from: Quest

answer: segregation violated the equal protection clause of the 14th amendment, which holds that no state can “deny to any person within its jurisdiction the equal protection of the laws.”

details/explanation:

brown v. board of education of topeka, decided by the us supreme court in 1954, ruled that all americans are entitled to the same civil liberties and protections in regard to access to education. until that decision, it was legal to segregate schools according to race, so that black students could not attend the same schools as white students. an older supreme court decision, plessy v. ferguson (1896), had said that separate, segregated public facilities were acceptable as long as the facilities offered were equal in quality. in the case of brown v. board of education, that standard was challenged and defeated. segregation was shown to create inequality, and the supreme court unanimously ruled segregation to be unconstitutional.

the ruling was important in advancing civil rights because it affirmed that the 14th amendment applies to all rights and privileges of citizens, including access to education. this was being violated by states whose laws supported the segregation of schools. section 1 of the 14th amendment reads as follows:

all persons born or naturalized in the united states and subject to the jurisdiction thereof, are citizens of the united states and of the state wherein they reside. no state shall make or enforce any law which shall abridge the privileges or immunities of citizens of the united states; nor shall any state deprive any person of life, liberty, or property, without due process of law; nor deny to any person within its jurisdiction the equal protection of the laws.

Answer from: Quest

5x+10 is the correct one

hope this

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Acircle is centered at the point (-7, -1) and passes through the point (8, 7).
the radius of t...