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SashulF [63]
2 years ago
12

Given a line segment containing the points A,B, & C, in order, if AB is 11 and BC is 12, then the length of AC would

Mathematics
1 answer:
Shalnov [3]2 years ago
4 0

Answer: 23

Step-by-step explanation:

AB + BC = AC

AC = 11 + 12 = <u>23</u>

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4 to the second power divided by (3 + 1)
Citrus2011 [14]

Answer:

4

Step-by-step explanation:

3 + 1 = 4

4 to the second power / 4 is 4

5 0
3 years ago
Read 2 more answers
What is the angle relationship shown below?
Harman [31]

Answer:

The relationship between the angles is alternate exterior angles.

Step-by-step explanation:

Exterior means outside.

Alternate means every other or in this case across form each other.

These angles represent alternate exterior angles because they are on the outside of the transversal and they are alternating each other.

8 0
3 years ago
Kyle has a aquarium in the shape of a rectangular prism.The aquarium is 24 inches long and 10 inches wide. The volume of the aqu
jasenka [17]
To calculate to volume of a rectangular prism you use the formula l × w × h = V

l, w, and h are the sides, and V is the volume

So... 24 × 10 × h = 2,880

h = 2,880 / 240

h = 12


4 0
3 years ago
Read 2 more answers
A parabola can be drawn given a focus of (5, -3) and a directrix of y=1. Write the equation of the parabola in any form.
Anna71 [15]

Answer:

(x²-10x+33)/(-8) = y

Step-by-step explanation:

The distance between any point on a parabola from both its focus and directrix are the same.

Let's say we have a point (x,y) on the parabola. We can then say that using the distance formula,

\sqrt{(x-5)^2+(y-(-3))^2}is the distance between (x,y) and the focus. Similarly, the distance between (x,y) and the directrix is |y-1| (I use absolute value here because distance is always positive). We can find this equation by taking the shortest distance from the point to the line. Because the closest point to the line will be the same x value as the point itself, the distance is simply the distance between the y value of the point and the y value of the directrix.

Equating the two equations given, we have

\sqrt{(x-5)^2+(y-(-3))^2} = |y-1|

square both sides to get

(x-5)²+(y+3)²=(y-1)²

expand the y components

(x-5)² + y²+6y+9 = y²-2y+1

subtract y²+6y+9 from both sides

(x-5)² = -8y - 8

expand the x components

x²-10x+25 = -8y - 8

add 8 to both sides to isolate the -8y

x²-10x+33 = -8y

divide both sides by -8 to isolate y

(x²-10x+33)/(-8) = y

6 0
3 years ago
The temperature in Miami, Florida is 22 degrees warmer than three times the temperature in Bangor, Maine. The temperature in Mia
Nastasia [14]

Answer:

y=\frac{x-22}{3} ; y=20

Step-by-step explanation:

Let Temperature of Maimi T_{m}  and that of Bangor be T_{b}

Given in the condition is T_{m} is 22 more than 3 times  T_{b}

i.e. T_{m} = 22+ 3 * T_{b}

Hence

T_{m} - 22 = 3 * T_{b}

T_{b} = \frac{T_{m}-22}{3}

Here also we are given that T_{m}=82

T_{b} = \frac{82-22}{3}

T_{b} = \frac{60}{3}

T_{b} = 20

8 0
3 years ago
Read 2 more answers
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