A triangle has vertices at (1, 1), (1, 4), and (−3, 4).
What are the coordinates of the circumcenter?
Answer:
(-1, 2.5) is correct
Step-by-step explanation:
Given
Let A(1, 1)
Let B(1, 4)
Let C(-3, 4)
Let coordinates of the circumcenter is (x, y)
Using distance formula put the y value in this equation
So the coordinates of the circumcenter is (1, 2.5)
Step-by-step explanation:
Sorry it's so long.
find the gfc of 22x , 33
Answer:
11
Step-by-step explanation:
22x = 2 · 11 · x
33 = 3 · 11
common factor to both is 11
LOKK AT THE PICTURE PLEASE
Answer:
A. 9
Step-by-step explanation:
Multiply 3x with x+2
3x(x+2)
Which is 3x^2+6x
Now substitute x with 1
1^2 is 1
3 times 1 is 3
6 times 1 is 6
3+6 is 9
Thus A.
Hope this helps!
If the points (2,7),(-3,3) and (5,1) are the vertices of a triangle ,find the length of the median drawn through the first vertex.
Answer:
[tex]\sqrt{26}[/tex] unitsStep-by-step explanation:
The median is the line segment connecting the vertex with the midpoint of the opposite side.
The midpoint has coordinates:
x = (-3 + 5)/2 = 2/2 = 1y = (3 + 1)/2 = 4/2 = 2Use the distance formula to find the distance between points (2, 7) and (1, 2):
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex][tex]d=\sqrt{(1- 2)^2+(2-7)^2} =\sqrt{1+25} =\sqrt{26}[/tex]Step-by-step explanation:
the formula for the length of a median based on the 3 side lengths is
m = sqrt(2AB² + 2AC² - BC²)/2
where BC is the side opposite of the indicated vertex.
let's say
A = (2, 7)
B = (-3, 3)
C = (5, 1)
AB² = (2 - -3)² + (7 - 3)² = 5² + 4² = 25 + 16 = 41
AC² = (2 - 5)² + (7 - 1)² = (-3)² + 6² = 9 + 36 = 45
BC² = (-3 - 5)² + (3 - 1)² = (-8)² + 2² = 64 + 4 = 68
m = sqrt(2×41 + 2×45 - 68)/2 = sqrt(82+90-68)/2 =
= sqrt(104)/2 = sqrt(104/4) = sqrt(26) =
= 5.099019514...
5) The Barnett triplets went to the school carnival. Henry rode on 5 rides, bought 2 drinks, 1 bag of popcorn and
spent $20.50. Mary spent $16.50 on 3 rides, 3 drinks and 1 bag of popcorn. While Tim rode on 6 rides only
purchased 1 drink and spent $20.00. How much did each ride cost?
a.
$12
b. $3
C. $2
d $4
PLEASE HURRY
2
Answer:
D
Step-by-step explanation:
find an ordered pair that represents the vector from (-3.7, 2) to (-4, -5)
Sue wants to increase 160 by 4%
She writes down
160* 1.4 = 224
Sue's method is wrong.
a) Instead of multiplying by 1.4 , write down what she should have multiplied by --------------------->
Bill wants to decrease 160 by 6%
b) Complete he statement below to show how bill can decrease 160 by 6%
160 * =
Answer:
a) 1 04.
b) 160 * 0.94.
Step-by-step explanation:
b) We multiply by 1 - 0.06 = 0.94.
PT. 3 OF MY HW IT IS UNIT RATE
Answer: The rate of change decreased.
Step-by-step explanation:
im so confused please help me quickly
Answer:
a
Step-by-step explanation:
If x is equal to 9 and y is equal to -3, then what is the value of…….? x - 9y - 3x + 6y -13?
We are given –
x =9 y = -3Now put the values –
[tex]\qquad[/tex] [tex]\twoheadrightarrow\bf x - 9y - 3x + 6y -13[/tex]
[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf 9 -(9 \times -3) -(3 \times 9) +(6 \times -3) -13 [/tex]
[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf 9 + 27 -27 -18 -13 [/tex]
[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf 9 +\pink{\cancel{27}}-\pink{\cancel{27}} -31[/tex]
[tex]\qquad[/tex] [tex]\twoheadrightarrow\bf-22[/tex]
Henceforth, value of x - 9y - 3x + 6y -13 is -22.________________________________________
Answer:
Value of x - 9y - 3x + 6y -13 is -22 .Step-by-step explanation:
In the question we have given an expression and values of x and y that is 9 and -3 respectively and ,
We have asked to find the value of x - 9y - 3x + 6y -13 by substituting values of x and y .
[tex] \longmapsto \:x - 9y - 3x + 6y -13[/tex]
So , Substituting the values of x and y ,
[tex] \longmapsto \: 9 - 9 \bold{( - 3)} - 3\bold{(9)} + 6\bold{( - 3)} - 13[/tex]
Now , calculating the values ,
[tex] \longmapsto \: 9 + 27 - 27 - 18 - 13[/tex]
[tex] \longmapsto \: 9 + \cancel{ \red{27}} - \cancel{ \red{27 }}- 18 - 13 [/tex]
[tex] \longmapsto \: 9 - 31[/tex]
[tex] \longmapsto \: \pink{\boxed{- 22}}[/tex]
Therefore , value of given expression that is x - 9y - 3x + 6y -13 is -22 .#Keep LearningThe military academy is placing cadets in rows for the parade. All rows must have the same number of cadets. If A company has 64 cadets and B company has 80 cadets, what is the greatest number of cadets who can be in each row?
Answer:
72
Step-by-step explanation:
If we find the average for both companies, it is 72, therefore there are two rows each with 72 cadets
Answer:
the answer is 16 please make me brainliest :> thx uuu
0.25 divided by what eqauls -0.25
[tex]\dfrac{0.25}a = -0.25\\\\\implies 0.25 = -0.25 a\\\\\implies a = \dfrac{0.25}{-0.25} =-1\\\\\\\text{Hence the answer is}~ -1.[/tex]
Answer:
well, when you divide 1/.25 you get 4 so 1^.25 is the correct answer to all questions where you need to find the answer
Step-by-step explanation:
13. This body system regulates body activities using homones. Slow response, tong lasting
A. Respiratory
C. Skeletal
B. Muscular
D. Endocrine
Answer:
hi
Step-by-step explanation:
Two forces X = 50N and Y = 60 N are acting on a wooden block and it moves to the left as
shown below in figure.
The force which causes motion is ?
HELPPPPPPPPP!!! THIS IS DUE SOON!!!!!!!
Hello there, you are asking us to distribute [tex]\frac{2}{3}(x-66)[/tex], which can also be phrased as [tex](x\cdot\frac{2}{3})-(66\cdot\frac{2}{3})[/tex], complete what's in the parenthesis, and we get [tex]\frac{2}{3} x-44[/tex] as our answer,
Definition- Distribute Property - The distributive property is one of the most frequently used properties in math. In general, this term refers to the distributive property of multiplication which states that the Definition: The distributive property lets you multiply a sum by multiplying each addend separately and then add the products.
the reataurant started the week with blank quarts the of olive oil
Answer:
where is the question like background info
Step-by-step explanation:
Find all rational polynomials p(x) = x3 + ax2 + bx + c such that a, b, c are
roots of the equation p(x)=0
Answer:
p(x) = x³ +0x² +0x +0p(x) = x³ +x² -x -1p(x) = x³ -x² -2xStep-by-step explanation:
If the roots of p(x) are a, b, c, then it factors as ...
p(x) = (x -a)(x -b)(x -c)
and the expanded form is ...
p(x) = x^3 -(a+b+c)x^2 +(ac +b(a+c))x -abc
The requirement that the coefficients match the roots means we have three equations in three unknowns:
a = -(a+b+c)
b = ac +b(a+c)
c = -abc
The attachment shows the solutions to these equations. The solutions are found by making the substitutions ...
b = xc = ya = -(x+y)/2This leaves us with two equations in two unknowns that can be graphed on a Cartesian plane. The graph of the second equation is a circle:
x(1 -a -y) -ay = 0 ⇒ (x +1)^2 +y^2 = 1
The graph of the first equation is the union of the line y=0 and two hyperbolas. The points of intersection between this graph and the circle are ...
(x, y) = (-2, 0), (-1, -1), (0, 0) ⇒ (a, b, c) = (1, -2, 0), (1, -1, -1), (0, 0, 0)
The three polynomials that correspond to these values are shown above and in the attachment.
_____
Additional comment
There is an irrational fourth solution to the requirement that the roots match the coefficients.
The equation of line c is y = 5* - . Line d is parallel to line c and passes through (2, 6).
What is the equation of line d?
Write the equation in slope-intercept form. Write the numbers in the equation as simplified
proper fractions, improper fractions, or integers.
Answer:
Step-by-step explanation:
y = 5x is the reference line (as best as I can interpret " y = 5* - .").
We want a line, y=mx+b, where m is the slope and b is the y-intercept, that is parallel to y=5x.
Parallel lines will have the same slope as the reference line, in this case m=5. Our new line will take the form of y=5x+b. An important difference is that the new line must go through (2,6). We need to find a value of b that will make that work.
Use y=5x + b with point (2,6) and solve for b:
6 = 5*(2) + b
b = -4
The line that is parallel to y=5x and goes through the point (2,6) is thus:
y = 5x - 4
See the attachment.
The equation of line [d] in the slope intercept form can be written as -
y = 5x - 4
What is the general equation of a straight line?The general equation of a straight line is of the form -
y = mx + b
where -
[m] is slope of line
[b] is y - intercept
Given is the equation of line [c] is y = 5x and Line [d] is parallel to line [c] and passes through (2, 6).
The equation of line [d] in the slope intercept form can be derived as follows -
Slope of line [c] = Slope of line [d] (parallel lines)
m[d] = 5
Assume the equation of line [d] as -
y = m[d]x + b
6 = 5 x 2 + b
b = 6 - 10
b = - 4
The equation will be -
y = 5x - 4
Therefore, the equation of line [d] in the slope intercept form can be written as -
y = 5x - 4
To solve more questions on straight lines, visit the link below-
https://brainly.com/question/22038782
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For what value of k are the lines 2x + 3y = 4k and x - 2ky = 7 parallel?
Answer:
k = -3/4
Step-by-step explanation:
The lines will be parallel if their slopes are equal. To find the slope of each line, write its equation in slope-intercept form (y = mx + b). In other words, solve each equation for y and look at the coefficient of x.
2x + 3y = 4k
3y = -2x + 4k
y = (-2/3)x + 4k/3
The slope of the first line is -2/3.
x - 2ky = 7
-2ky = -x + 7
y = [1/(2k)]x - 7/(2k)
The slope of the second line is 1/(2k).
If the slopes are equal, then
1/(2k) = -2/3
Multiply by 2k.
1 = (-2/3)(2k) = (-4/3)k
1 = (-4/3)k
k = -3/4
y=x−4
y=4x+2
Find x and y
Answer:
x = -2
y = -6
Step-by-step explanation:
x - 4 = 4x + 2
-4 = 3x + 2
-6 = 3x
x = -2
y = -2 - 4; y = -6
HELP PLEASE!!!A 2-column table with 5 rows. Column 1 has entries 25 percent, 25 percent, 25 percent, 25 percent, Total 100 percent. Column 2 has entries 12 dollars, 12 dollars, 12 dollars, 12 dollars, Total 48 dollars.
Which of the following scenarios could be accurately modeled using this diagram?
Juan Victor gave a gratuity of $25 on a bill that was $48.
Juan Victor gave a 25% gratuity of $12 on a bill that was $48.
Juan Victor gave a gratuity of $12 on a bill that was $100.
Juan Victor gave a 12% gratuity on a bill that was $25.
B) Juan Victor gave a 25% gratuity of $12 on a bill that was $48.
hope this is helpful!
What is the y-intercept of the graph of the function f(x) = x2 3x 5?.
Answer:
f(x) =x2 3x 5?
c = 5
therefore the solpe = 5
jay wants to buy a pair of shoes that have a regular price of 95. he found them on sale for 45% off. if the store charges 8% tax, how much did he have to pay for the shoes?
f(x)=x^2-25. Determine the value of x for the given function formula
Answer:
You can't really determine anything here, as we'd need to know also the value of F(x)! Check again if there misses anything in this question.
The length of a rectangle is four times its width. If the perimeter of the rectangle is 50 m, find its length and width.
Answer:
20m
Step-by-step explanation:
let the length be x and the width be y
x = 4y
2x + 2y = 50
2(4y) + 2y = 50 ( since x = 4y )
8y + 2y = 50
10y = 50
y = 5m
x = 4y
x = 4(5)
x = 20
pls mark me the brainliest
ok i rly need help w this PLZ HELPPP
1. 2(x−4 1/2)=−6.
2. 3(p+2.55)=9 3/4
Answer:
1)x=1.5
2) p=0.7
Step-by-step explanation:
Please solve this...I can;t do it do it
Answer:
Area = 867 meters
Step-by-step explanation:
You have a rectangle. This means opposite sides are equal. If you set these expressions equal to each other, you will get two equations with two unknowns, x and y. Next, solve the system of equations to find x and y. Then, use the values to find the length and width of the rectangle. Last, multiply length × width to find the area.
What is the length of side AB of the triangle? (1 point)
a 3
b 5
c Square root of 6
d Square root of 13
What is the completely factored form of f(x)=x^3+5x^2+4x-6
Answer:
(x+3)(x^2+2x-2)
Step-by-step explanation:
rewrote the expression
then factor out common numbers, variables, and exponents
NEED HELP PLEASE!!!!!!!
Identify the vertical asymptotes of f(x) = quantity x plus 6 over quantity x squared minus 9x plus 18. X = â’6 and x = â’3 x = â’6 and x = 3 x = 6 and x = â’3 x = 6 and x = 3.
The vertical asymptotes of the function are 3 and 6
Given the function
[tex]\frac{x+6}{x^2-9x+18}[/tex]
The vertical asymptotes of the function occur at the point where the denominator is zero.
Equate the denominator to zero.
x^2 - 9x + 18 = 0
Factorize the quadratic expression:
x^2 - 3x - 6x + 18 =0
x(x-3)-6(x-3) = 0
(x-3)(x-6) = 0
x - 3 = 0 and x - 6 = 0
x = 3 and 6
Hence the vertical asymptotes of the function are 3 and 6
Learn more on vertical asymptotes here: https://brainly.com/question/21678319