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3 years ago

Which of the following points lies on the circle whose center is at the origin and whose radius is 10?

2 answers:

7 0

Circle at center at (h,k) and radis r is
(x-h)^2+(y-k)^2=r^2
r=10
(0,0) is center
(x-0)^2+(y+0)^2=10^2
x^2+y^2=100

test them

(-6,4)
x=-6 and y=4
36+16=42, not 100
not on it

sqrt 10 and sqrt10
10+10=20, not 100

(6,-8)
36+64=100
correct

answer is (6,-8)

SIZIF [17.4K]3 years ago

7 0

HE IS CORRECT!

THE ANSWER IS (6,-8)!!

BRUHHHHHHHHHHHHHHH!!!

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Given the points J(4,-7) and L(-2,13), find the coordinates of point k on JL such that the ratio of jk is 1:4

Irina-Kira [14]

Answer:

The coordinates of point k are (-2.8,-3)

Step-by-step explanation:

we shall use the internal division formula to find the coordinates of point k

Mathematically, the formula is as follows;

Let’s call the coordinates of point k (x,y)

(x , y) = mx2 + nx1/(m + n) , my2 + ny1/(m + n)

From the question;

m = 1 , n = 4

x1 = 4, x2= -2

y1 = -7 , y2 = 13

Substituting these values in the equation, we have the following;

1(-2) + 4(4)/(1 + 4) , 1(13) + 4(-7)/(1+4)

(-2+16)/5, (13 -28)/5

= -14/5, -15/5

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3 years ago

What is 7/7-1/5= ? Is it..... 8/12 18/35 28/35 6/35

Elza [17]

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3 years ago

The angle of the elevation from the top of a 95 Todd building into a hot air balloon in the sky and 76° if the horizontal distan

AnnZ [28]

Answer:

The height of the hot air balloon is 1514.54 feet approximately.

Step-by-step explanation:

Consider the provided information.

The angle of elevation from the top of a 95-foot tall building to a hot air balloon in the sky is 76. If the horizontal distance between the building and the hot air balloon is 354 feet, find the height of the hot air balloon

The figure is shown below:

Let the height of the balloon is AD, the height of the building is BC.

Draw a line BE parallel to CD.

Therefore, AD=x+95, BC=95 and BE=CD=354 ft

Now in triangle $ABE$ .

$\tan\theta=\dfrac{\text{Opp}}{\text{Adj}}$

$\tan76^{\circ}=\dfrac{AE}{BE}$

$AE\approx 4.01\times 354$

$AE\approx 1419.54$

The height air balloon is 1419.54+95 =1514.54 ft

Hence, the height of the hot air balloon is 1514.54 feet approximately.

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3 years ago

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