The following data points represent the total weight loss

This is so important please help

Shtirlitz [24]

Given:

The center of the circle = (-1,0)

Point on the circle = (2,-4).

To find:

The equation of the circle.

Solution:

Distance between two points is

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Distance between the center (-1,0) and the point on the circle (2,-4) is the radius of the circle.

$r=\sqrt{(2-(-1))^2+(-4-0)^2}$

$r=\sqrt{(2+1)^2+(-4)^2}$

$r=\sqrt{(3)^2+(-4)^2}$

On further simplification, we get

$r=\sqrt{9+16}$

$r=\sqrt{25}$

$r=5$

Now, the equation of the circle is

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

Where, (h,k) is the center and r is the radius of the circle.

The radius of the circle is 5 and the center is at (-1,0), so the equation of the circle is

$(x-(-1))^2+(y-0)^2=5^2$

$(x+1)^2+y^2=25$

Therefore, the first option is correct, i.e., $(x+1)^2+y^2=25$ .

3 0

2 years ago

In the figure, ray OB bisects ∠TOY.

Levart [38]

Answer:

∠BOY = 38°

Explanation:

From the diagram, we can note that:

m∠TOY = m∠TOB + m∠BOY ...................> equation I

We are given that ray OB bisects the angle

Therefore:

m∠TOB = m∠BOY

Substitute in equation I:

m∠TOY = m∠TOB + m∠TOB = 2m∠TOB ............> equation II

We are given that:

m∠TOY = 8x-36

m∠TOB = x+24

Substitute with the givens in equation II and solve for x:

m∠TOY = 2m∠TOB

8x - 36 = 2(x + 24)

2(4x-18) = 2(x+24)

4x - 18 = x + 24

3x = 42

x = 14

This means that:

m∠TOB = x + 24 = 14 + 24 = 38°

Since

m∠TOB = m∠BOY

Therefore:

m∠BOY = 38°

Check:

m∠TOY = 8x - 36 = 8(14) - 36 = 76° which is twice m∠TOB

Hope this helps :)

8 0

3 years ago

Jordan's family traveled 3/8 of the distance to his grandfather's house on Saturday. They traveled 3/5 of the remaining distance

jarptica [38.1K]

Answer:

1/40

Step-by-step explanation:

You have to find the amount of distance they traveled since the start of the journey. 3/5 + 3/8 is 39/40. How did we get that, you may ask?

We need to find a number that both 5 and 8 have to make. That can be 40. But how we made 5 and 8 40, we need to do the same to the top numbers. So 39/40 when we add them up. Finally, we need to substract that from the whole, and this gets you 1/40. Hope this helps.

Have a wonderful day, my friend.

4 0

3 years ago

Suppose you have $10,000 to invest. Which investment yields the greater return over 7 years: 6.6% compounded monthly or 6.7% com

joja [24]

Answer:

C) $10,000 invested at 6.7% compounded quarterly over 7 years yields the greater return.

Step-by-step explanation:

-We determine the effective interest rate in both scenarios and use it to calculate the investment's value after 7 years.

#Given n=7yrs, P=$10,000 and i=6.6% compounded monthly:

$i_m=(1+i/m)^m-1\\\\=(1+0.066/12)^{12}-1=0.06803\\\\\therefore A=P(1+i_m)^n\\\\=10000(1.06803)^7\\\\\approx \$15,852.00$

#Given n=7rs, P=10000, i=6.7%

$i_m=(1+i/m)^m-1\\\\=(1+0.067/4)^{4}-1=0.06870\\\\\therefore A=P(1+i_m)^n\\\\=10000(1.06870)^7\\\\\approx \$15,921.75$

Hence, the investment has the largest value($15,921.75) when the interest rate is compounded quarterly.

8 0

3 years ago

Help me fast PLEASE The equation y = 1.6x represents the number of laps Henry can swim over time, where y is the number of laps

Phoenix [80]

The table is missing though but you may consider the following calculations :

Y = 1.6 x
for x = 1 minutes
Y = 1.6 laps
for x = 2 minutes
Y = 3.2 laps
for x = 3 minutes
Y = 4.8 laps

4 0

3 years ago

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