Answers
Given:
The vertices of a triangle are D(1,5), O(7,-1) and G(3,-1).
To find:
The perpendicular bisector of line segment DO.
Solution:
Midpoint formula:
[tex]Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]
The midpoint of DO is:
[tex]Midpoint=\left(\dfrac{1+7}{2},\dfrac{5+(-1)}{2}\right)[/tex]
[tex]Midpoint=\left(\dfrac{8}{2},\dfrac{4}{2}\right)[/tex]
[tex]Midpoint=\left(4,2\right)[/tex]
Therefore, the midpoint of DO is (4,2).
Slope formula:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
Slope of DO is:
[tex]m=\dfrac{-1-5}{7-1}[/tex]
[tex]m=\dfrac{-6}{6}[/tex]
[tex]m=-1[/tex]
Therefore, the slope of DO is -1.
We know that the product of slopes of two perpendicular line is -1.
[tex]m_1\times m_2=-1[/tex]
[tex]m_1\times (-1)=-1[/tex]
[tex]m_1=1[/tex]
The slope of perpendicular bisector is 1 and it passes through the point (4,2). So, the equation of the perpendicular bisector of DO is:
[tex]y-y_1=m(x-x_1)[/tex]
[tex]y-2=1(x-4)[/tex]
[tex]y-2+2=x-4+2[/tex]
[tex]y=x-2[/tex]
Therefore, the equation of the perpendicular bisector of DO is [tex]y=x-2[/tex].
Related Questions
what are all the factors 24? please help lol
Answers
Answer:
factors are 1,2,3,4,6,8,12,24
What set of transformations are applied to parallelogram ABCD to create A'B'C'D'?
Parallelogram formed by ordered pairs A at negative 4, 1, B at negative 3, 2, C at negative 1, 2, D at negative 2, 1. Second parallelogram transformed formed by ordered pairs A prime at negative 4, negative 1, B prime at negative 3, negative 2, C prime at negative 1, negative 2, D prime at negative 2, negative 1.
Reflected over the x-axis and rotated 180°
Reflected over the y-axis and rotated 180°
Reflected over the x-axis and rotated 90° counterclockwise
Reflected over the y-axis and rotated 9
Answers
Answer:
Reflected over the x-axis and rotated 90° counterclockwise
Step-by-step explanation:
Answer:
Reflected over the x‒axis and reflected over the y-axis
Step-by-step explanation: pls mark me as brainly
A matrix derived from a system of linear equations (each written in standard form with the constant term on the right) is the ---Select--- matrix of the system.
Answers
Answer:
augmented
Step-by-step explanation:
In the field of linear algebra, the augmented matrix is defined as the matrix that is [tex]\text{obtained by appending}[/tex] the given columns of any two given matrices, that is usually for the [tex]\text{purpose of performing the same elementary row operations on each of the given matrices. }[/tex]
Here, each row forms an equation having a constant and the column have the coefficients for the single variable.
Thus an augmented matrix is obtained from a system of linear equation in matrix.
Which are correct Representation of the any quality 6x>_3+4(2x-1)?select three options
Answers
Answer:
1) 1 ≥ 2·x
2) 6·x ≥ 3 + 8·x - 4
3) 1/2 ≥ x The third option and the first number line inequality diagram, please see attached drawing of the number line created with MS Visio
Step-by-step explanation:
The given inequality is presented as follows;
6·x ≥ 3 + 4·(2·x - 1)
By expanding the right hand side of the inequality, we get;
6·x ≥ 3 + 8·x - 4
4 - 3 = 1 ≥ 8·x - 6·x = 2·x
∴ 1 ≥ 2·x
1/2 ≥ x
Therefore, the correct options are;
1) 1 ≥ 2·x
2) 6·x ≥ 3 + 8·x - 4
3) 1/2 ≥ x The third option and the first number line inequality diagram
Solve for x. Round to the nearest tenth, if necessary.
Answers
Answer:
x = 10.7
Step-by-step explanation:
We have:
[tex]\frac{x}{sin 90}[/tex] = [tex]\frac{9.2}{sin59}[/tex]
=> x × sin59 = 9.2 × sin90
=> x × sin59 = 9.2
=> x = 9.2 ÷ sin59
=> x = 10.733027...
=> x = 10.7 (Round to the nearest tenth)
<3 Have a nice day!!
A softball pitcher has a 0.507 probability of throwing a strike for each pitch. If the softball pitcher throws 15 pitches, what is the probability that exactly 8 of them are strikes? Insert the correct symbol to represent this probability.
Answers
Answer:
The probability that the pitcher throws exactly 8 strikes out of 15 pitches is approximately 0.199
Step-by-step explanation:
The given probability that the pitcher throws a strike, p = 0.507
The number of pitches thrown by the pitcher = 15 pitches
The probability that the pitcher does not throw a strike, q = 1 - P
∴ q = 1 - 0.507 = 0.493
By binomial theorem, we have;
[tex]P(X = r) = \dbinom{n}{r}p^{r} \cdot q^{n-r}= \dbinom{n}{r}p^{r} \cdot \left (1-p \right )^{n-r}[/tex]
When X = r = 8, and n = 15, we get;
The probability that the pitcher throws exactly 8 strikes out of 15 pitches, P(8), is given as follows
P(8) = ₁₅C₈ × 0.507⁸ × (1 - 0.507)⁽¹⁵ ⁻ ⁸⁾ = 6,435 × 0.507⁸ × 0.493⁷ ≈ 0.199
Set up a proportion to solve for x in the following similar triangles.
Answers
Answer:
C
Step-by-step explanation:
I took the quiz and it was C! Hope this helps :)
ANSWER PLZ ILL GIVE BRAINLEST
Answers
Answer:
y is 4
Step-by-step explanation:
x is 3
y is 4 coordinate is (3,4)
Answer:
4
Step-by-step explanation:
1. If f(x) = 6x + 13x + 2x - 5 and f(-1) = 0, find the
factors of f(x)
Answers
Answer:
-26
Step-by-step explanation:
Insert the f(-1) into the equation.It'll be f(-1) = 6(-1) + 13(-1) + 2(-1) - 5After you times all of it. You'll get 7-13-2-5Solve it and you'll get -26Describe how you would simplify rootof300. Be thorough and clear in your explanation.
Answers
Root 100 is ten
So it would be 10 root 3
Evalute f (3) if(x) = -4x+5
Answers
Answer: f(3)=-7
Step-by-step explanation:
To evaluate f(3), we want to plug in x=3 into f(x)=-4x+5.
f(3)=-4(3)+5 [multiply]
f(3)=-12+5 [add]
f(3)=-7
Now, we know that f(3)=-7.
help with explanation please
Answers
Answer:
MBC=FTTHSGUSJHHUYYVSVHEJSJEVEJDJDHB=**?!1235849
Step-by-step explanation:
M is dead so B is going to collect money. thanks for the update and for some of my friends and for some reason and t and I will get you the information you requested and for your and your and I have a lot going to get you a copy of my CV and I have to be there by and pick it up tomorrow if the update I was just going to text you but the information I need to text me if the is no longer a part y to be y to be y to text or to be there by and pick up tomorrow at noon so we will be able or to be y be able or willing and for the first week of my e to text you and I hope to hear back from the guy I was telling you but you are not a good time to text or to be there by to pick up tomorrow if the update and the update I was just wondering if everything goes well and that the information you have a good ii
How many possible outcomes do you have when you role 4 dice
Answers
Answer:
1296
Step-by-step explanation:
6^4
algebra help pls answer
Answers
Answer:
[tex]\frac{-1+1}{0-(-2)}=0[/tex]
[tex]ANSWER: A)~0[/tex]
------------------------------
HOPE IT HELPS
HAVE A GREAT DAY!!
Quadratic equation with root 1 is :-(A) 2x ^ 2 + x - 1 = 0 (B) 2x ^ 2 - x - 1 = 0 (C) 2x ^ 2 + x + 1 = 0 (D) 2x ^ 2 - x + 1 = 0
Answers
Answer:
option b is correct
tag me as brilliaiest
Which equation has the steepest graph?
A. y= 10x-5
O B. y=-14x+1
C. y= {x-9
D. y= 2x + 8
Answers
Three coins are tossed and two dice are thrown at the same time. Find the probability of obtaining three heads and a total of 12 on the dice
Answers
Answer:
2/6 chance the dice be rolled to the total of 12
Find the area of a rectangle with a length of 10 cm and a width of 7 cm.
70 cm
17 cm2
70 cm2
17 cm
Answers
Find the area of the triangle
Answers
i need this answered soon!! please help!! 20 points and brainliest!!!
Answers
Answer:
graph 1
Step-by-step explanation:
if it's all the times BETTER
then it shouldn't include 15
Answer:
Graph 3.
Step-by-step explanation:
.
What is the surface area
Answers
So-
81+81
54+54
54+54
162+108+108
SA: 378 in
What is the area, in square centimeters, of the isosceles trapezoid below
Answers
Answer:
A = 39.48 cm²
Step-by-step explanation:
The area (A) of a trapezoid is calculated as
A = [tex]\frac{1}{2}[/tex] h (b₁ + b₂ )
where h is the perpendicular height and b₁, b₂ the parallel bases
Here h = 4.2, b₁ = 13.5, b₂ = 5.3 , then
A = [tex]\frac{1}{2}[/tex] × 4.2 × (13.5 + 5.3) = 2.1 × 18.8 = 39.48 cm²
if a/b = 2 /5, b/c = 3 /8, a/c =??
Answers
Answer:
3/20
Step-by-step explanation:
By question it's given that ,
[tex]\implies \dfrac{a}{b}=\dfrac{2}{5}[/tex]
[tex]\implies \dfrac{b}{c}=\dfrac{3}{8}[/tex]
And we need to find out the value of a/c .For that Multiply both of them , we have ;
[tex]\implies \dfrac{a}{b} \times\dfrac{b}{c}=\dfrac{2}{5}\times \dfrac{3}{8} \\\\\implies \dfrac{a}{c}= \dfrac{3}{20}[/tex]
Hence the required answer is 3/20 .
Mitchell and his friends went to the candy store, where they can buy candy by the pound. Mitchell bought 1.2 pounds of candy. His friends bought 2.3 pounds and 1.8 pounds. About how many pounds of candy did they buy altogether?
rounding
Answers
Answer:
5.3 pounds
Step-by-step explanation:
1.2 plus 1.8 is 3 pounds
then you add 3 pounds plus 2.3 lbs and you get
5.3 pounds
Answer:
5.3
Step-by-step explanation:
If you add how much Mitchell bought (1.2) and how much his friends bought (2.3), (1.8) therefore the answer is 5.0 or rounded is just 5
On an English test, John scored 50 points on the essay portion. The test also had short-answer questions worth 2.5 points each. Choose an expression for John’s total points if he answered r short-answer questions correctly.
Answers
Answer:
2.5x+50
Step-by-step explanation:
r = numbers of right answers
Points the essay worth = 50
2.5 = points each right short answer
The sum of the first six terms of an A.P is 72 and second term is seven times the fifth term. find the first term and common difference.
Answers
Hello,
if A.P means arithmetic progression then
let's say a the first term and r the common difference.
[tex]\left\{\begin{array}{ccc}(a)+(a+r)+(a+2r)+...+(a+5r)&=&72\\a+r&=&7*(a+4r)\end{array}\right.\\\\\\\left\{\begin{array}{ccc}6a+15r&=&72\\6a+27r&=&0\end{array}\right.\\\\\\\left\{\begin{array}{ccc}a&=&\dfrac{-9}{2}*r\\-9r+5r&=&24\end{array}\right.\\\\\\\left\{\begin{array}{ccc}r&=&-6\\a&=&27\end{array}\right.\\\\[/tex]
Ted can clear a football field of debris in 3 hours. Jacob can clear the same field in 2 hours. When they work together, the situation can be modeled by the equation, where t is the number of hours it would take to clear the field together.
How long will it take Ted and Jacob to clear the field together?
Answers
Answer:
[tex]\frac{6}{5}[/tex] of an hour = 1 1/5 hour = 72 minutes
Step-by-step explanation:
[tex]\frac{1}{3} h + \frac{1}{2}h = 1\\\\\frac{2}{6} h + \frac{3}{6}h = 1\\\\\\\frac{5 }{6} h =1\\\\h=\frac{6}{5}[/tex]
it would take Ted and Jacob 1.2 hours, or 1 hour and 12 minutes, to clear the field together.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Let's start by using the formula for the combined work of two people:
1/t = 1/3 + 1/2
Here, t represents the number of hours it would take to clear the field together.
To solve for t, we can first find a common denominator for the fractions on the right-hand side of the equation:
1/t = (2/6) + (3/6)
1/t = 5/6
To isolate t on one side of the equation, we can take the reciprocal of both sides:
t/1 = 6/5
t = 1.2
Therefore, it would take Ted and Jacob 1.2 hours, or 1 hour and 12 minutes, to clear the field together.
To learn more on Equation:
https://brainly.com/question/10413253
#SPJ5
plisss help me in thiss
Answers
Answer:
x=80
Step-by-step explanation:
The angle of a line is 180*.
The equation would be (x+20)+x=180
Subtract 20 from both sides: 2x=160
Divide by 2: x=80
That's your answer!
I hope this helps!
Answer:
x=80
Step-by-step explanation:
I cant explain well but edge 2021 never lie's!
I 그
If minor arc AB measures 97 inches, what is the length
of the radius of circle C? If necessary, round your
answer to the nearest inch.
O 6 inches
O 12 inches
O 18 inches
O 24 inches
Answers
Answer:
The correct option is (b).
Step-by-step explanation:
Given that,
The length of the minor arc = 9 inches
We need to find the length of the radius of circle C.
Let the angle is 0.75 radians.
So,
Radius,[tex]r=\dfrac{l}{\theta}[/tex]
Put all the values,
[tex]r=\dfrac{9}{0.75}\\\\r=12\ inches[/tex]
So, the radius is 12 inches.
determine the value of x.
x=-7
x=7
x= 2.33
x=29
Answers
Answer:
where is the figure?
u should upload the figure too
