Answers
9514 1404 393
Answer:
a. (1.4, 2.6)
b. (3, 2)
Step-by-step explanation:
a. The circumcenter is the intersection point of the perpendicular bisectors of the sides of the triangle.
For points X(a, b) and Y(c, d), the perpendicular bisector of XY can be written as ...
(c -a)(x -(c+a)/2) +(d -b)(y -(d+b)/2) = 0
Then the equation of the perpendicular bisector of MN is ...
(-2-4)(x -(-2+4)/2) +(4-0)(y -(4+0)/2) = 0
-6(x -1) +4(y -2) = 0
3x -2y = -1 . . . . divide by -2 and put in standard form
Similarly, the perpendicular bisector of NO is ...
(0-(-2))(x -(0-2)/2) +(6 -4)(y -(6+4)/2) = 0
2(x +1) +2(y -5) = 0
x + y = 4 . . . . divide by 2 and put in standard form
So, the point of intersection is ...
(3x -2y) +2(x +y) = (-1) +2(4) . . . . . add twice the 2nd equation to the 1st
5x = 7 . . . . . . simplify
x = 1.4 . . . . . . divide by 5
y = 4-1.4 = 2.6 . . . . . find y from the second equation
The coordinates of the circumcenter are (1.4, 2.6).
__
b. The centroid is the average of the vertex coordinates.
centroid = (A +B +C)/3 = ((1, 2) +(3, 4) +(5, 0))/3 = (1+3+5, 2+4+0)/3 = (9, 6)/3
centroid = (3, 2)
Related Questions
I NEED HELPPPPP ASAPPPPPPP
Answers
true
Step-by-step explanation:
it's at an equal distance
Quadrilateral IJKL is similar to quadrilateral MNOP. Find the measure of side NO. Round your answer to the nearest tenth.
Answers
Answer:
[tex]NO = 66.9[/tex]
Step-by-step explanation:
Given
See attachment for quadrilaterals IJKL and MNOP
Required
Determine the length of NO
From the attachment, we have:
[tex]KL = 9[/tex]
[tex]JK = 14[/tex]
[tex]OP = 43[/tex]
To do this, we make use of the following equivalent ratios:
[tex]JK : KL = NO : OP[/tex]
Substitute values for JK, KL and OP
[tex]14 : 9 = NO : 43[/tex]
Express as fractions
[tex]\frac{14}{9} = \frac{NO}{43}[/tex]
Multiply both sides by 43
[tex]43 * \frac{14}{9} = \frac{NO}{43}*43[/tex]
[tex]43 * \frac{14}{9} = NO[/tex]
[tex]\frac{43 * 14}{9} = NO[/tex]
[tex]\frac{602}{9} = NO[/tex]
[tex]66.8889 = NO[/tex]
[tex]66.9 = NO[/tex] --- approximated
[tex]NO = 66.9[/tex]
Answer:
Quadrilateral DEFG is similar to quadrilateral HIJK. Find the measure of side KH. Round your answer to the nearest tenth. Figures are not drawn to scale.
Step-by-step explanation:
4. The Barber's have a circular flowerbed in their front yard. The want to put fertilizer
on half of the flowerbed. The flowerbed has a circumference of 8.5 feet. One bag of
fertilizer will cover 6 square feet. How many bags of fertilizer will they need to cover
half of the flowerbed?
Answers
Answer:
Wait what
Step-by-step explanation:
Answer:
2 bagsStep-by-step explanation:
Circumference is:
C = πrThen the radius:
r = C/π = 8.5/3.14 = 2.7 ftThe area:
A = πr² = 3.14*2.7²= 22.89 ft²Half of the area:
22.89/2 = 11.445 ft² ≈ 12 ft² rounded upFertilizer needed:
12/6 = 2 bagsThe formula for the area of a trapezoid is A = 12(a + b)h. Rearrange the formula to solve for b.
Question 4 options:
b=2Aha
b=A−12h + a
b=2Ah− a
b=12Ah − a
Answers
Answer:
b = 2A/h - aStep-by-step explanation:
Formula for the area of a trapezoid:
A = 1/2(a + b)hSolving for b:
A = 1/2(a + b)h2A = (a + b)h2A/h = a + b b = 2A/h - aBRAINLIEST ....................................
Answers
9514 1404 393
Answer:
(b) 7720 mm² of paper
Step-by-step explanation:
The central horizontal rectangle of the net is 80 mm high and ...
40 + 5.5 + 40 + 5.5 = 91
mm long. Its area 9 is ...
(80 mm)(91 mm) = 7280 mm²
__
The two pieces of the net not accounted for above are the "flaps" above and below the central rectangle. Each of those two has an area of 40 mm by 5.5 mm, so their total area is ...
2(40 mm)(5.5 mm) = 440 mm²
Then the area of paper needed for the wrapper is ...
total area = 7280 mm² + 440 mm²
total area = 7720 mm²
what is equivalent to k/2
Answers
Answer:
k x 1/2
Step-by-step explanation:
because k x 1/2 = k/2
Round to the nearest ten thousand.
758,928
Answers
Answer:
760,000
Step-by-step explanation:
What are the values of a and b, and what is an equation for the line?
Answers
Answer:
a = 1, b = 6
Step-by-step explanation:
slope of line = (5-2) / (12-3) = 3/9 = 1/3
(3-2) / (b-3) = 1/3
b-3 = 3 b = 6
(2-a) / (3-0) = 1/3
2-a = 1 a = 1
Tell whether each equation has no solution, one solution, or infinitely many solutions.
3x-12=3x+1
Answers
Subtracting 3x from both sides gets you -12 = 1 which is never true therefore for any value of x you choose the equations will never equal each other
_________________________ 6Harry is planning a holiday for 4 people for 7 days. Here are the costs for the holiday for each person. Travel£150 Hotel£50 for each day Spending money£250 Work out the total cost of the holiday for 4 people for 7 days.
Answers
Answer: $3,000
Step-by-step explanation:
The cost for a single person is:
Travel £150
Hotel £50 for each day
Spending money £250
Hotel is the only one that changes per the number of days so the total cost for a single person for 7 days is:
= 150 + (50 * 7) + 250
= 150 + 350 + 250
= $750
There are 4 people so the total cost will be:
= 750 * 4 people
= $3,000
What is the slope of y = -4?
Answers
Answer:
0
Step-by-step explanation:
The line is horizontal.
Explanation:
Think of y = -4 as y = 0x+(-4)
We see that the equation matches the form y = mx+b
m = 0 = slope
b = -4 = y intercept
Side note: this equation graphs out a horizontal line. All horizontal lines have a slope of 0.
Please help !! (no fake answers please !!) I'll mark brainlist.
Answers
Answer: area mean multiply
Step-by-step explanation:
Answer:
76 feet (Just put 76 in the answer box)
Step-by-step explanation:
Knowing the perimeter of a rectangle is 2l + 2w, multiply 2 by 3.5. Then multiply 2 by 4.5, and add them together.
2(3.5) + 2(4.5)
The two products would be 7 and 9 respectively.
7 + 9 = 16 feet of fencing for 1 rabbit pen.
We have 2 pens, so multiply 16 by 2.
The rabbit pens need 32 feet of fencing.
(Alternatively you could have done 2(2(3.5 + 4.5)).
2(2(8))
2(16)
32 ft of fencing (rabbit pens))
Now, add 12 and 10. Then multiply that by 2.
2(12 + 10)
2(22)
The garden needs 44 feet of fencing.
Now add 32 and 44 to get the total amount of fencing needed.
32 + 44
The rabbit pens and the garden need 76 feet of fencing. (Just put 76 in the answer box as the unit (feet) is already given.)
f(x) = -x^2 + 5x + 15
Find f(9)
Answers
Answer:
-21
Step-by-step explanation:
A basketball is price at 37.00 if there is a 7% sales tax what is the final cost of the basketball
Answers
Answer:
$39.59
Step-by-step explanation:
37 increase 7% =
37 × (1 + 7%) = 37 × (1 + 0.07) = 39.59
Iris found a value of 1
64
when she evaluated an expression.
Answers
Answer: Options A. 2^-6 and C. 4^-3 are equivalent to 1/64
Step-by-step explanation: hope this helps :D
Answer:
A. 2 -6 and C. 4 -3
Step-by-step explanation:
help me please, i don’t get it loll
Answers
Answer:
subtract to find A
Step-by-step explanation:
What is the equation of a circle centered at the origin with radius 15 ?
Answers
Are these two triangles identical? Explain how you know in the box below.
Answers
Answer:
No, The triangles are not congruent because the hypotenuse lengths are different.
Step-by-step explanation:
Please mark brainliest.
The length of a rectangle is equal 3x - 2. The width of the rectangle is equal to
x2 - 4x + 8. Which expression is equal to the perimeter of the rectangle?
pls answer someone
Answers
Answer:
14x-4
Step-by-step explanation:
2(3x-2)+2(2x-4x+8)
6x-4+4x-8x+16x
14x-4
4. simplify 32³/⁵. a. 2. b. 8. c. 16. d. 24
Answers
Answer:
2^(5×3/5)=2³=8is your answer
Which is the graph of y= -x-3?
Answers
Answer:
Graph a
Step-by-step explanation:
Answer:
the answer is A
Step-by-step explanation:
to start, I would use the slope intercept, in this case -3 which lets you know the slope meets the y axis at (0,-3) since you have that point, you count with the slope.
now slope is rise over run, therefore, it would be y over x and since the y in this case is 3, you'd go up three from your point. since x is 4, you'd go right four units from where you are. since A is the only graph that follows that, A would be correct.
Cuatro amigos van al cine dos veces al mes y siempre comen un paquete de palomitas de maiz cada uno si no comia palomitas de maiz los cuatro amigos podrian ir al cine tres veces al mes sabiendo que cada paquete de palomitas de maiz cuesta $28 cual es el precio de cada entrada al cine
Answers
Answer:
El precio de la entrada al cine es de $56
Step-by-step explanation:
Cada uno de los 4 amigos las 2 veces por semana consumen un paquete de palomitas que cuesta: $28 ; entonces debemos multiplicar el costo de las palomitas por las dos veces que las consumen para saber el costo total de las palomitas:
28 x 2 =$56
El ejercicio nos dice que al no comer esas dos veces palomitas pueden ingresar a cine una tercera vez por semana ,lo que significa que al no pagar los $56 en palomitas podrán pagar una tercera entrada,lo que quiere decir que la entrada a cine es de $56.
Entonces podemos hacer la siguiente relación matemática: Precio total de las palomitas dos veces por semana = Precio de la entrada a cine.
(Easy) What is the next term in the sequence: 2, -2/3, 2/9, -2/27
Answers
Answer:
[tex]\frac{2}{81}[/tex]
Step-by-step explanation:
There is a common ratio between consecutive terms in the sequence
r = [tex]\frac{-\frac{2}{3} }{2}[/tex] = [tex]\frac{\frac{2}{9} }{-\frac{2}{3} }[/tex] = [tex]\frac{-\frac{2}{27} }{\frac{2}{9} }[/tex] = - [tex]\frac{1}{3}[/tex]
To find a term in the sequence multiply the previous term by - [tex]\frac{1}{3}[/tex] , then
a₅ = - [tex]\frac{1}{3}[/tex] × a₄ = - [tex]\frac{1}{3}[/tex] × - [tex]\frac{2}{27}[/tex] = [tex]\frac{2}{81}[/tex]
6 of 12
© Dale is following this recipe to make shortbread fingers.
Dale uses 150 g of butter.
How many shortbread fingers does he make?
Recipe: Makes 20 fingers
125 g butter
55 g sugar
180 g flour
Answers
Evaluate the following expression. Round to the nearest hundredth when necessary.
27
Answers
Answer:
27?
Step-by-step explanation:
27 is a whole number you know
Tally question.
Quite easy.
Pls help :)
Answers
Answer:
39/73
Step-by-step explanation:
Help plsssssssssssss????
Answers
Answer:
y=2/3+11
Step-by-step explanation:
One angle of a right triangle measures 34°. What is the measure of the other acute angle?
Answers
Answer:
Step-by-step explanation: one has to be 90 degrees, so 34 plus 90. The angles of a triangle always add up to 180 so, subtract the answer of 34 plus 90 from 80 and you should get the answer.
How is the ratio of crushed tomatoes to tomato paste different from the ratio of tomato paste to crushed tomatoes?
Answers
Answer and explanation:
The ratio 1:2 is different from the ratio 2:1. The ratio 1:2(one to two) means a comparison of two sizes; the ratio of one part of that thing to the ratio of two parts of that thing. Likewise, the ratio 2:1 is the comparison of two parts of a thing to the ratio of one part of the thing. For the ratio 2:1, we could say for example that for every two crushed tomatoes there is one tomato paste.
The slope of a line is -1/3, and the y-intercept is 10/3 . What is the equation of the line written in general form?
10x + 3y - 1 = 0
x + 3y + 10 = 0
x + 3y - 10 = 0
Answers
Answer:
x+3y-10=0 I hope it helps you
