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notsponge [240]
3 years ago
15

What are the coordinates of the circumcenter of a triangle with vertices A(−1, 1) , B(5, 1) , and C(−1, −1) ?

Mathematics
1 answer:
rewona [7]3 years ago
7 0
The answer to this is (2,0)
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Write the slope intercept form of the equation of the line through the given point
ozzi

Answer:

y =  -\frac{3}{4}x

Step-by-step explanation:

slope-intercept form: y = mx + b

Given: slope(m) = -\frac{3}{4}, point (4, -3)

We already have the value of m, but we need to find the value of b. To do this, input the given values of the slope and the point into the equation:

-3 =  -\frac{3}{4}(4) + b

Solve for b:

-3 =  -\frac{3}{4}(4) + b

-3 = -3 + b

0 = b

The value of b is zero. We can now write the equation:

y =  -\frac{3}{4}x + 0

y =  -\frac{3}{4}x

The equation written in slope-intercept form is: y =  -\frac{3}{4}x

8 0
3 years ago
A bag contains red and blue marbles. One-fourth of the marbles are red. If there is one red marble in the bag, how many blue mar
Alenkinab [10]
There are 3 marbles.
4 0
3 years ago
Mr. Johns has up to 100 ceramic goods including mugs and plates available for his art class to decorate at the end of the year.
MA_775_DIABLO [31]

Answer:

m + p >= 100

m >= 40

p >= 10

Step-by-step explanation:

let m = number of mugs

let p = number of plates

4 0
3 years ago
Find the greatest common factor of 9n and 7n^3
stiks02 [169]
The answer is: GCF(9, +7^3) = 1
Explanation:
9 = 3^2

+7 = +7×7

3 = 3

GCF = 1


9 / 1 = 9

+7 / 1 = 7

3 / 1 = 3

7 0
2 years ago
Determine whether LINE AB and LINE CD are parallel, perpendicular, or neither. A(−1, −4) , B(2, 11) , C(1, 1) , D(4, 10) ( write
Luba_88 [7]

Step-by-step explanation:

Hey there!

The points of line AB are; (-1,-4) and (2,11).

Note:

  • Use double point formula and simplify it to get two eqaution.
  • Use condition of parallel lines, perpendicular lines to know whether the lines are parallel or perpendicular or nothing.

~ Use double point formula.

(y - y1) =  \frac{y2 - y1}{x2 - x1} (x - x1)

~ Keep all values.

(y  + 4) =  \frac{11 + 4}{2 + 1} (x + 1)

~ Simplify it.

y + 4 =  \frac{15}{3} (x + 1)

y + 4 = 5x + 5

5x - y + 1 = 0

Therefore this is the equation of line AB.

Now, Finding the equation of line CD.

Given;

The points of line CD are; (1,1) and (4,10).

~ Using formula.

(y - y1) =  \frac{y2 - y1}{x2 - x1}(x - x1)

~ Keep all values.

(y - 1) =  \frac{10 - 1}{4 - 1} (x - 1)

~ Simplify it.

y - 1 = 3 x - 3

3x - y - 2 = 0

Therefore, 3x - y- 2 = 0 is the eqaution of line CD.

Use condition of parallel lines.

m1= m2

Slope of equation (i)

m1 =  \frac{ - coeff. \: of \: x}{coeff \: of \: y}

m1 =  \frac{ - 5}{ - 1}

Therefore, m1 = 5

Slope of second equation.

m2 =  \frac{ - coeff \: .of \: x}{coeff \: .of \: y}

m2 =   \frac{ - 3}{ - 1}

Therefore, m2 = 3.

Now, m1≠m2.

So, the lies are not parallel.

Check for perpendicular.

m1*m2= -1

3*5≠-1.

Therefore, they aren't perpendicular too.

So, they are neither.

<em><u>Hope </u></em><em><u>it</u></em><em><u> helps</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em>

6 0
3 years ago
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