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3 years ago

what are the coordinates of the circumcenter of a triangle with vertices A(0,1) B(2,1) C(2,5)? PLEASE HELP

Mathematics

1 answer:

just olya [345]3 years ago

7 0

The answer to this is (1,3).

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Can anyone help me solve 23, 24?

zimovet [89]

Answer:

Problem 23) $y=3x+6$

Problem 24) $y=-\frac{1}{3}x-5$

Step-by-step explanation:

step 1

Find the slope of the given line

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

we have

$A(0,2)\ B(3,1)$

Substitute the values

$m=\frac{1-2}{3-0}$

$m=-\frac{1}{3}$

step 2

Problem 23

we know that

If two lines are perpendicular then the product of its slopes is equal to minus 1

$m1*m2=-1$

Find the slope of the line

we have

$m1=-\frac{1}{3}$

substitute in the equation and solve for m2

$(-\frac{1}{3})*m2=-1$

$m2=3$

with the slope m2 and the point $(0,6)$ find the equation of the line

Remember that

The equation of the line in slope intercept form is equal to

$y=mx+b$

we have

$m=3$

$b=6$ -----> the given point is the y-intercept

substitute

$y=3x+6$

step 3

Problem 24

we know that

If two lines are parallel, then its slopes are the same

with the slope m1 and the point $(0,-5)$ find the equation of the line

The equation of the line in slope intercept form is equal to

$y=mx+b$

we have

$m=-\frac{1}{3}$

$b=-5$ -----> the given point is the y-intercept

substitute

$y=-\frac{1}{3}x-5$

8 0

3 years ago

Electron groups could be considered which of the following?

Yanka [14]

Im pretty sure D bonded pair of electrons is the answer

6 0

3 years ago

The cost our summer school trip is $17 per students plus a $175 fee for the bus. 1) Write a linear equation for the total cost o

scZoUnD [109]

Answer:

Step-by-step explanation:

1) 17x + 175 = y

2) 17(28) + 175 = y

476 + 175 = y

651 = y

Cost for bus and 28 students is $651

3) 889 - 175 = 714

714/ 17 = 42

42 students attempted the trip

7 0

3 years ago

risha wants to buy a computer for $775. She already has $275 saved and earns $100 a week babysitting. a. Use w to represent week

Alisiya [41]

Answer

Inequality=100x+275≥775 Answer=5 or more

Step-by-step explanation:

5 0

3 years ago

Jeff's teacher has a bag of apples and oranges, where there are 3 times as many oranges as apples. If each student receives 2 ap

trasher [3.6K]

Answer:

There are 4 students and 9 apples

Step-by-step explanation

each student recieves 5 apples so 5 x 4= 20 20+ 7=27

27 can be divided by 3 and you get 9.

each student recieves 2 apples and there are 4 students. 9-8 =1

6 0

3 years ago