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ValentinkaMS [17]
3 years ago
11

Find the coordinates of the circumcenter for triangle DEF with coordinates D(1,3) E(8,3) and F(1,-5) show your work

Mathematics
1 answer:
nikklg [1K]3 years ago
6 0

One leg is horizontal, on the line y=3. Another leg is vertical, on the line x=1. The point where these intersect, D(1, 3) is the vertex of a right angle. Any right triangle inscribed in a circle has its hypotenuse as the diameter of the circle.

Since the triangle is a right triangle, the circumcenter is the midpoint of the hypotenuse: ((8, 3) + (1, -5))/2 = (4.5, -1).

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PLEASE SHOW YOUR WORK.
schepotkina [342]

Answer:

a) Shawn's error was that he Multiplied 15 by 2x only. He didn't Multiply 15 by 7

b) The difference, in square feet, between the actual area of Shawn’s garden and the area found using his expression is given as

98 square feet

Step-by-step explanation:

The area in, square feet, of Shawn’s garden is found be calculating 15(2x + 7). Shawn incorrectly says the area can also be found using the expression 30x + 7.

The correct area =

15(2x + 7).

= 30x + 105 square feet

The error in Shawn’s expression is

= 15(2x + 7)

= 30x + 7 square feet

Shawn's error was that he Multiplied 15 by 2x only. He didn't Multiply 15 by 7

The difference, in square feet, between the actual area of Shawn’s garden and the area found using his expression is given as

30x + 105 square feet - 30x + 7 square feet

= 30x + 105 - (30x + 7)

= 30x - 30x + 105 - 7

= 98 square feet

7 0
2 years ago
A path starts and ends at diffrent verticles, and is allowed to repeat vertices and edges.
almond37 [142]

Answer:

Step-by-step explanation:

True

5 0
3 years ago
Read 2 more answers
Please i need help asapl
Marizza181 [45]

Answer:

Ella should not have included 5 in absolute value portion of the equation

Step-by-step explanation:

Because -1 is a negative number in order to find the true distance between A and B you have to make it positive.

But, because Ella included 5 in the absolute value portion of the equation it messed up the answer.

7 0
3 years ago
Identify the vertex of the parabola with the quadratic equation u =6x squared - 72x + 220
BartSMP [9]
Don't report what you don't understand

the x value of the vertex of the parabola in form
y=ax^2+bx+c
is -b/2a
given
y=6x^2-72x+220
x value of vertex is -(-72)/(2*6)=72/12=6
xvalue is 6
sub that for x in the equation

y=6(6)^2-72(6)+220
y=216-432+220
y=4

(x,y)
vertex is (6,4)
3 0
3 years ago
Problem page a family has two cars. the first car has a fuel efficiency of 30 miles per gallon of gas and the second has a fuel
kkurt [141]
You will have 2 equations.
30x+20y=1100
and 
x+y=45
by putting it into standard form
-(30/20)x+55=y 
you can now solve finding the answer to be 20 for x and 25 for y.
Plug it into the original equation to find it correct and then plug it into x+y
20+25=45
30*20+25*20=1100
4 0
3 years ago
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