An equation of the perpendicular bisector of the line segment with end points (3,0) and (-3,0) is
A) x = -3/2
B) x = 0
C) x = 3/2
D) X = 3
E) X = 6
Help please with steps
Answer:
[tex]x = 0[/tex]
Step-by-step explanation:
Given
[tex](x_1,y_1) = (3,0)[/tex]
[tex](x_2,y_2) = (-3,0)[/tex]
Required
The equation of the perpendicular bisector.
First, calculate the midpoint of the given endpoints
[tex](x,y) = 0.5(x_1 + x_2, y_1 + y_2)[/tex]
[tex](x,y) = 0.5(3-3, 0+ 0)[/tex]
[tex](x,y) = 0.5(0, 0)[/tex]
Open bracket
[tex](x,y) = (0.5*0, 0.5*0)[/tex]
[tex](x,y) = (0, 0)[/tex]
Next, determine the slope of the given endpoints.
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{0 - 0}{-3- 3}[/tex]
[tex]m = \frac{0}{-6}[/tex]
[tex]m = 0[/tex]
Next, calculate the slope of the perpendicular bisector.
When two lines are perpendicular, the relationship between them is:
[tex]m_2 = -\frac{1}{m_1}[/tex]
In this case:
[tex]m = m_1 = 0[/tex]
So:
[tex]m_2 = -\frac{1}{0}[/tex]
[tex]m_2 = unde\ fined[/tex]
Since the slope is [tex]unde\ fined[/tex], the equation is:
[tex]x = a[/tex]
Where:
[tex](x,y) = (a,b)[/tex]
Recall that:
[tex](x,y) = (0, 0)[/tex]
So:
[tex]a = 0[/tex]
Hence, the equation is:
[tex]x = 0[/tex]
Plzzzzzzzzzzzzzzzz help me I’ll mark you brainlist
Answer:
Ewan?1234567891011121314151617181920
Answer:
No clue at all. ?
Step-by-step explanation:
The sum of three consecutive integers is -126. What are the integers?
Answer:
Three consecutive even integers can be represented by x, x+2, x+4. The sum is 3x+6, which is equal to 108. So its, 3x+6=108.
Does anyone know how to do this?
Answer:
the formula to find the amount for number 7 is
A=p(1+r/n) raised to power n ,e.g
A=4000(1+4/1)raised to power 1
A=4000(1+4) raised to power 1
A=4000(5)
A=20,000.
to find interest
I=PRT/100
I=4000×4×1/100
I=#160
3. What is the axis of symmetry of the graph of function f(x) = x² - 6x – 1
Answer:
guihnijiop;kl;lkm
Step-by-step explanation:
Answer:
A parabola has an axis of symmetry at x = 3 if the x-value of the vertex is 3.
f(x) = x^2 + 3x + 1 = x^2 + 3x + 9/4 - 5/4 = (x + 3/2)^2 - 5/4 => vertex = (-3/2, -5/4)
f(x) = x^2 - 3x - 3 = x^2 - 3x + 9/4 - 21/4 = (x - 3/2)^2 - 21/4 => vertex = (3/2, -21/4)
f(x) = x^2 + 6x + 3 = x^2 + 6x + 9 - 6 = (x + 3)^2 - 6 => vertex = (-3, -6)
f(x) = x^2 - 6x - 1 = x^2 - 6x + 9 - 10 = (x - 3)^2 - 10 => vertex = (3, -10)
Therefore, f(x) = x^2 - 6x - 1 has an axis of symmetry at x = 3.
Step-by-step explanation:
plz mark me as brainlist
V is a vector space. Mark each statement True or False. Justify each answer.
a. R^2 is a two-dimensional subspace of R^3.
b. The number of variables in the equation Ax D 0 equals the dimension of Nul A.
c. A vector space is infinite-dimensional if it is spanned by an infinite set.
d. If dimV D n and if S spans V, then S is a basis of V.
e. The only three-dimensional subspace of R^3 is R^3 itself.
Answer:
FalseFalseFalseFalseTrueStep-by-step explanation:
A) False ; R^2 is not a two dimensional subspace of R^3 because Vector R^2 will have 2 entries while vector R^3 has 3 entries
B) False : The number of variable in the equation is not equal to the Dimension because dim of Null A represents the number of free variables
C) False : This is because you can span R^3 with an infinite set of vectors but that doesn't make it infinite dimensional subspace
D) False : This is only possible when S has exactly n elements/vectors
E) True : Since R^3 is a three dimensional subspace it is spanned with 3 vectors whom are linearly independent
For Howards science experiment he needs 69 blocks that each have a mass of 0.5 kilograms. Is the total mass of the blocks 3.45 kilograms, 34.5 kilograms, or 345 kilograms?
VERY EASY, WILL GIVE 50 POINTS FOR CORRECT ANSWER ASAP AND WILL GIVE BRAINLIEST.
Answer:
(3, -2)
Step-by-step explanation:
Help now please... I will mark brainlest
Answer:
60°
Step-by-step explanation:
That's an equilateral triangle therefore all sides and angles are the same.
Objects moving at the same speed always have the same velocity.
A: False
B: True
Answer:
A: False
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Velocity is the rate at which an object moves and which way it is going, while speed is just the rate.
Sebastian mixed 2 cups of red paint with 7 cups of blue paint to make his favorite shade of purple. Which ratio of red to blue paint will make the same shade of purple?
Answer:
10:35 is the ratio
Step-by-step explanation:
2 x 5 = 10
7 x 5 = 35
help pls will give brainliest !!!!
Answer:
can you retake the picture i cant really see this one very well
Step-by-step explanation:
A tutor earns $220 for 4 hours of tutoring. At the same rate, how much would the tutor earn for 3 hours of tutoring?
A. $150
B. $155
C. $165
D. $180
What is the diameter of a circle with an area of 1,808.64 square meters, rounded to the nearest meter?
Answer:
Diameter = 47.99
Step-by-step explanation:
A circle with an area of 1,808.64 square meters, rounded to the nearest meter and the diameter = 47.99.
We have to determine
The diameter of a circle with an area of 1,808.64 square meters, rounded to the nearest meter.
What is the diameter of the circle?
A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre. Equivalently, it is the curve traced out by a point that moves in a plane so that its distance from a given point is constant.
Therefore we get the value of the diameter is = 47.99 meters.
To learn more about the circle visit:
https://brainly.com/question/24375372
#SPJ2
Find the average of f(x)=x^3-x over [0,2]
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Answer:
1
Step-by-step explanation:
The average value of the function is the integral over the interval, divided by the width of the interval.
[tex]\displaystyle\overline{y}=\frac{1}{2-0}\int_0^2{f(x)}\,dx=\left.\frac{1}{2}\left(\frac{x^4}{4}-\frac{x^2}{2}\right)\right|_0^2=\frac{1}{2}\left(\frac{2^4}{4}-\frac{2^2}{2}\right)=\frac{4-2}{2}\\\\\boxed{\overline{y}=1}[/tex]
A triangle is shown
A
(2х - 10)
B
(3x)
(4х + 46),
с
Part A: What is the value of x, in degrees?
13.8
ОООО
Answer:
x = 16
Step-by-step explanation:
First add all of your angles together to get:
9x + 36
Then set that equal to 180:
9x + 36 = 180
Now solve Algebraically:
Subtract 36 from both sides:
9x = 144
Then divide by 9:
x = 16
The reason I set it to 180 is because we know that all triangles angles equal up to be 180° no matter what.
The table shows the number of pages Michael read and the number of hours he read each day.
Answer:
i love fishing!
Step-by-step explanation:
HELP. NO links. Please help I've been on this for a while
Answer:61
Step-by-step explanation:
Answer:
[tex]\Huge\boxed{C.61}[/tex]
Step-by-step explanation:
Hello There!
Remember this is the triangle angle rule:
The angles of a triangle MUST have a sum of 180
That being said we can find the missing angle by subtracting the given angles ( 87 and 32 in this case) from 180
so missing angle = 180 - 87 - 32
180 - 87 = 93
93 - 32 = 61
so we can conclude that the answer is c
Please read the question and answer if you can 6th grade
Answer:
112 in
Step-by-step explanation:
14 x 8 = 112
Find the distance between the given points. Round to the nearest tenth. 2,2 and -1,4
Answer:
2
Step-by-step explanation:
geometry multiple choice
(will mark brainliest)
Answer:
The opposite angles of a quadrilateral inscribed in a circle are supplementary.
Step-by-step explanation:
Geometry Fact: the opposite angles in a quadrilateral inscribed in a circle are supplementary (i.e., the sum of the opposite angles is equal to 180˚.).
what are all of the equivalent fractions for 1/3
Answer:
2/6 3/9
Step-by-step explanation:
10^(4x−1)=2^5 round the answer to the nearest tenth
HELP!
11. The cost of oranges at a local grocery store is shown in the table below.
Number of
Oranges
3
7
10
12
Total Cost
$1.26
$2.94
$4.20
$5.04
Which of the following represents the unit rate for the oranges?
O A. $1.68 for 1 orange
OB. $0.84 for 1 orange
O C. $1.26 for 1 orange
O D. $0.42 for 1 orange
Answer:
D. $0.42 for 1 orange
Step-by-step explanation:
Divide the number of oranges by the corresponding total cost.
Ex. 5.04 ÷ 12 = 0.42
Answer: 0.42
Step-by-step explanation: 0.42+0.42+0.42= 1.26
One Step Equations
-104=8x
Please show your work, thank you.
Answer:
= − 1 3
Step-by-step explanation:
8x/8 = -104/8
Brainliest?
A 5-foot tall student stands 15 feet from a flagpole. The student
casts a shadow 6 feet long which ends at exactly the same point
as the shadow of the flagpole.
How many feet tall is the flagpole, to the nearest tenth of a foot?
Answer:
17.5 ft
Step-by-step explanation:
Draw a picture as shown in the attached image. From the image, you can see that a proportion can be set up comparing the height of the flagpole and student to their respective shadows. Once you set up the proportion, solve to get the height of the flagpole.
Which of the following systems of linear inequalities is represented by the
solution graphed below?
O A. x>-1 and y 2-X
O B. y 2-1 and y<-X
O C. 2-1 and y> -X
OD. Y> -1 and ys-x
Answer:
B.
Step-by-step explanation:
i just solved it.
In this exercise we have to observe the graph informing and in this way identify the best alternative that represents this question, so we have to:
Letter B
So to start, we have to look at the graph axes separately, being the X axis first, then:
When we look at the area demarcated on the X axis, we realize that it is only about negative values, so X will always be less than zero.Now looking at the Y axis, we can see that it will always be values greater than or equal to -1.Thus, the alternative is found in the letter B, since:
[tex]Y\geq -1\\X\leq 0[/tex]
See more about graph at brainly.com/question/14375099
How many triangles can be constructed with angles measuring 110°, 50°, and 20°?
0
1
more than one
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Answer:
(c) more than one
Step-by-step explanation:
The shape of the triangle is specified by its angles, but not its size. An infinite number of triangles of various sizes can be constructed with those angles. The appropriate choice is ...
more than one
Please help no link please help no links
Cindy works on the weekends at the local coffee shop. Last Saturday she worked 7.5 hours and
on Sunday she worked 8 hours. She earns $9 per hour. How much did she earn last weekend?
F:97.00 G:89.50 H:139.50 J:109.00