Identify each line or segment that intersects each circle. Be sure label each as a chord, secant, tangent, etc.

The dot plots below show rainfall totals in the Highlands and Lowlands areas of a certain region. 2 dot plots with number lines

JulsSmile [24]

Answer: b

Step-by-step explanation: cause I know the answer/ i did the quiz

7 0

2 years ago

Find an equation of the line containing the centers of the two circles whose equations are given below.

Anna35 [415]

Answer:

Step-by-step explanation:

The general equation of a circle is expressed as x²+y²+2gx+2fy+c = 0 with centre at C (-g, -f).

Given the equation of the circles x²+y²−2x+4y+1 =0 and x²+y²+4x+2y+4 =0, to get the centre of both circles, we will compare both equations with the general form of the equation above as shown;

For the circle with equation x²+y²−2x+4y+1 =0:

2gx = -2x

2g = -2

Divide both sides by 2:

2g/2 = -2/2

g = -1

Also, 2fy = 4y

2f = 4

f = 2

The centre of the circle is (-(-1), -2) = (1, -2)

For the circle with equation x²+y²+4x+2y+4 =0:

2gx = 4x

2g = 4

Divide both sides by 2:

2g/2 = 4/2

g = 2

Also, 2fy = 2y

2f = 2

f = 1

The centre of the circle is (-2, -1)

Next is to find the equation of a line containing the two centres (1, -2) and (-2.-1).

The standard equation of a line is expressed as y = mx+c where;

m is the slope

c is the intercept

Slope m = Δy/Δx = y₂-y₁/x₂-x₁

from both centres, x₁= 1, y₁= -2, x₂ = -2 and y₂ = -1

m = -1-(-2)/-2-1

m = -1+2/-3

m = -1/3

The slope of the line is -1/3

To get the intercept c, we will substitute any of the points and the slope into the equation of the line above.

Substituting the point (-2, -1) and slope of -1/3 into the equation y = mx+c

-1 = -1/3(-2)+c

-1 = 2/3+c

c = -1-2/3

c = -5/3

Finally, we will substitute m = -1/3 and c = 05/3 into the equation y = mx+c.

y = -1/3 x + (-5/3)

y = -x/3-5/3

Multiply through by 3

3y = -x-5

3y+x = -5

Hence the equation of the line containing the centers of the two circles is 3y+x = -5

5 0

2 years ago

A multi-layer cake is in the shape of a right cylinder. The height of the cake is 20 centimeters, and its radius is 10 cm. If ea

gizmo_the_mogwai [7]

Answer:

There are total 5 layers.

Step-by-step explanation:

A multi-layer cake is in the shape of a right cylinder.

Height of the cake is = 20 cm

Radius is = 10 cm

Each of the cake layers has a volume of approximately 1,250 cm³.

Means, the volume of 1 cylindrical layer is 1250 cubic cm with radius as 10 cm and we have to find the height.

Volume of the cylinder is given as:

$V=\pi r^{2} h$

$1250=3.14\times(10)^{2}\times h$

$1250=314 h$

$h=\frac{1250}{314}$

h = 3.98 or approximately height of 1 layer is 4 cm.

As the cake's height is 20 cm so, there are $\frac{20}{4}=5$ layers in the cake.

Answer: There are 5 layers in the cake.

5 0

2 years ago

. James has 16 ounces (oz.) of cookie dough. If he uses 0.56 oz. of cookie dough for each

Anna71 [15]

Step-by-step explanation:

Step 1: Find the reasonable estimate

$Total\ Amount\ of\ Dough / Dough\ Per\ Cookie$

$16 / 0.56$

$28.571...$

The closest number to 28 out of the option is 30. Therefore, the correct option is D.

Answer: Option D

6 0

2 years ago

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P=100a÷t solve for a

pishuonlain [190]

a=1/100pt is the correct answer. First you had to multiply by t from both sides of equation, and it gave us, ⇒ $pt=100a$ . And then you had to flip an equation, and it gave us, ⇒ $100a=pt$ . You can also divide by one-hundred (100) from both sides of equation, and it gave us, $\frac{100a}{100}=\frac{pt}{100}$ . And finally, and it gave us the answer is a=1/100pt is the final answer. Hope this helps! And thank you for posting your question at here on brainly, and have a great day. -Charlie

8 0

2 years ago

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