All categories

1 year ago

Find the circumcenter of the triangle (-2,4) (-2,-1) (1,-1)

Mathematics

1 answer:

lana66690 [7]1 year ago

3 0

Answer:

( $-\frac{1}{2}$ , $\frac{3}{2}$ )

Step-by-step explanation:

( $x_{1}$ , $y_{1}$ )

( $x_{2}$ , $y_{2}$ )

Coordinates of midpoint are

( $\frac{x_{1} +x_{2} }{2}$ , $\frac{y_{1} +y_{2} }{2}$ )

~~~~~~~~~~~~~~~~~~~~

The figure is right triangle.

The circumcenter is the middle of the hypotenuse.

( - 2, 4 )

( 1 , - 1 )

( $-\frac{1}{2}$ , $\frac{3}{2}$ )

You might be interested in

If a cup of coffee has temperature 97Â°C in a room where the ambient air temperature is 25Â°C, then, according to Newton's Law o

FinnZ [79.3K]

Answer:

The average temperature is $T_{a} = 81.95^oC$

Step-by-step explanation:

From the question we are told that

The temperature of the coffee after time t is $T(t) = 25 + 72 e^{[-\frac{t}{45} ]}$

Now the average temperature during the first 22 minutes i.e fro $0 \to 22$ minutes is mathematically evaluated as

$T_{a} = \frac{1}{22-0} \int\limits^{22}_{0} {25 +72 e^{[-\frac{t}{45} ]}} \, dx$

$T_{a} = \frac{1}{22} [25 t + 72 [\frac{e^{[-\frac{t}{45} ]}}{-\frac{1}{45} } ] ] \left| 22} \atop {0}} \right.$

$T_{a} = \frac{1}{22} [25 t - 3240e^{[-\frac{t}{45} ]} ] \left | 45} \atop {{0}} \right.$

$T_{a} = \frac{1}{22} [25 (22) - 3240e^{[-\frac{22}{45} ]} - (- 3240e^{0} )]$

$T_{a} = \frac{1}{22} [550 - 1987.12 + 3240]$

$T_{a} = 81.95^oC$

8 0

3 years ago

100 POINTS

likoan [24]

Answer: True because when you divide both sides by 2 that would be the right equation.

Step-by-step explanation:

3 0

3 years ago

Natalie can bike 10 kilometers per hour faster than Aaron. By the time

V125BC [204]

The speed is 99 kilometers. U welcome

6 0

3 years ago

Sarah plants 760 vines in rows containing either 20 vines or 25 vines. There are 3 times as many rows containing 25 vines as the

bogdanovich [222]

Answer: 27 rows contain 25 vines.

Step-by-step explanation:

Let x represent the number of rows that contain 20 vines.

Let y represent the number of rows that contain 25 vines.

Sarah plants 760 vines in rows containing either 20 vines or 25 vines. This means that

20x + 25y = 760- - - - - - - - - - -1

There are 3 times as many rows containing 25 vines as there are rows containing 20 vines. This means that

y = 3x

Substituting y = 3x into equation 1, it becomes

20x + 25 × 3x = 760

20x + 75x = 760

95x = 760

x = 760/95

x = 9

y = 3x = 3 × 9

y = 27

6 0

3 years ago

PLEASE HELP : A rectangle has a length that is 15 more than its width. A second rectangle with a perimeter of 72 has a width tha

SashulF [63]

Answer:

length = 24, width = 9

Step-by-step explanation:

Let's call the length and width of the first rectangle w + 15 and w respectively. This means that the length and width of the second rectangle is (w + 15) - 2 and w + 5 respectively. Since the perimeter of the second rectangle is 72, we can write:

2 * ((w + 15) - 2 + w + 5) = 72 because perimeter = 2 * (length + width)

(w + 15) - 2 + w + 5 = 36 (Divide by 2)

2w + 18 = 36 (Combine like terms)

2w = 18 (Subtract 18)

w = 9 (Divide by 2)

This means that the length and width are 24 and 9.

7 0

3 years ago